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23372232106000 = 2453611549123677
BaseRepresentation
bin1010101000001110001011…
…00101111010000000010000
310001202100211001002222112011
411110013011211322000100
511030412312404343000
6121413015531312304
74631405461666561
oct524070545720020
9101670731088464
1023372232106000
1174a1120790388
1227558412ab694
131006cb864cc5b
145ab317506168
152a7e733092ba
hex1541c597a010

23372232106000 has 160 divisors (see below), whose sum is σ = 57478064248800. Its totient is φ = 9189621504000.

The previous prime is 23372232105983. The next prime is 23372232106009. The reversal of 23372232106000 is 60123227332.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 20862567813136 + 2509664292864 = 4567556^2 + 1584192^2 .

It is a super-2 number, since 2×233722321060002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23372232106009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188916162 + ... + 189039838.

It is an arithmetic number, because the mean of its divisors is an integer number (359237901555).

Almost surely, 223372232106000 is an apocalyptic number.

23372232106000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23372232106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28739032124400).

23372232106000 is an abundant number, since it is smaller than the sum of its proper divisors (34105832142800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23372232106000 is a wasteful number, since it uses less digits than its factorization.

23372232106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125310 (or 125294 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The spelling of 23372232106000 in words is "twenty-three trillion, three hundred seventy-two billion, two hundred thirty-two million, one hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 1549 2000 2440 3050 3098 4880 6100 6196 7625 7745 12200 12392 15250 15490 24400 24784 30500 30980 38725 61000 61960 77450 94489 122000 123677 123920 154900 188978 193625 247354 309800 377956 387250 472445 494708 618385 619600 755912 774500 944890 989416 1236770 1511824 1549000 1889780 1978832 2362225 2473540 3091925 3098000 3779560 4724450 4947080 6183850 7544297 7559120 9448900 9894160 11811125 12367700 15088594 15459625 18897800 23622250 24735400 30177188 30919250 37721485 37795600 47244500 49470800 60354376 61838500 75442970 94489000 120708752 123677000 150885940 188607425 188978000 191575673 247354000 301771880 377214850 383151346 603543760 754429700 766302692 943037125 957878365 1508859400 1532605384 1886074250 1915756730 3017718800 3065210768 3772148500 3831513460 4789391825 7544297000 7663026920 9578783650 11686116053 15088594000 15326053840 19157567300 23372232106 23946959125 38315134600 46744464212 47893918250 58430580265 76630269200 93488928424 95787836500 116861160530 186977856848 191575673000 233722321060 292152901325 383151346000 467444642120 584305802650 934889284240 1168611605300 1460764506625 2337223210600 2921529013250 4674446421200 5843058026500 11686116053000 23372232106000