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23321132110320 = 24351139072261009
BaseRepresentation
bin1010100110101110111111…
…10010111001000111110000
310001120110220210110020111120
411103113133302321013300
511024043134310012240
6121333325153142240
74624616252126412
oct523273762710760
9101513823406446
1023321132110320
1174814891062a0
12274795bb5a980
131002233a31515
145a8a6aa789b2
152a69820cead0
hex1535dfcb91f0

23321132110320 has 160 divisors (see below), whose sum is σ = 78888049770240. Its totient is φ = 5652158238720.

The previous prime is 23321132110303. The next prime is 23321132110327. The reversal of 23321132110320 is 2301123112332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23321132110327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9183976 + ... + 11444984.

It is an arithmetic number, because the mean of its divisors is an integer number (493050311064).

Almost surely, 223321132110320 is an apocalyptic number.

23321132110320 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 23321132110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39444024885120).

23321132110320 is an abundant number, since it is smaller than the sum of its proper divisors (55566917659920).

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

23321132110320 is a wasteful number, since it uses less digits than its factorization.

23321132110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264943 (or 2264937 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 23321132110320 its reverse (2301123112332), we get a palindrome (25622255222652).

The spelling of 23321132110320 in words is "twenty-three trillion, three hundred twenty-one billion, one hundred thirty-two million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3907 7814 11721 15628 19535 23442 31256 39070 42977 46884 58605 62512 78140 85954 93768 117210 128931 156280 171908 187536 214885 234420 257862 312560 343816 429770 468840 515724 644655 687632 859540 937680 1031448 1289310 1719080 2062896 2261009 2578620 3438160 4522018 5157240 6783027 9044036 10314480 11305045 13566054 18088072 22610090 24871099 27132108 33915135 36176144 45220180 49742198 54264216 67830270 74613297 90440360 99484396 108528432 124355495 135660540 149226594 180880720 198968792 248710990 271321080 298453188 373066485 397937584 497421980 542642160 596906376 746132970 994843960 1193812752 1492265940 1989687920 2984531880 5969063760 8833762163 17667524326 26501286489 35335048652 44168810815 53002572978 70670097304 88337621630 97171383793 106005145956 132506432445 141340194608 176675243260 194342767586 212010291912 265012864890 291514151379 353350486520 388685535172 424020583824 485856918965 530025729780 583028302758 706700973040 777371070344 971713837930 1060051459560 1166056605516 1457570756895 1554742140688 1943427675860 2120102919120 2332113211032 2915141513790 3886855351720 4664226422064 5830283027580 7773710703440 11660566055160 23321132110320