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133202121111120 = 24355912297654133
BaseRepresentation
bin11110010010010110001001…
…000111001011011001010000
3122110121222221211210212011110
4132102112021013023121100
5114424340421001023440
61151144113142213320
740025351510104155
oct3622261107133120
9573558854725143
10133202121111120
113949577a8822a6
1212b33568a24240
135942ba19a4199
1424c7034b5a22c
15105ed5d599080
hex7925891cb650

133202121111120 has 160 divisors (see below), whose sum is σ = 420267066364800. Its totient is φ = 34890105444352.

The previous prime is 133202121111119. The next prime is 133202121111193. The reversal of 133202121111120 is 21111121202331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13575574 + ... + 21229706.

It is an arithmetic number, because the mean of its divisors is an integer number (2626669164780).

Almost surely, 2133202121111120 is an apocalyptic number.

133202121111120 is a gapful number since it is divisible by the number (10) 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 133202121111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210133533182400).

133202121111120 is an abundant number, since it is smaller than the sum of its proper divisors (287064945253680).

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

133202121111120 is a wasteful number, since it uses less digits than its factorization.

133202121111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7655437 (or 7655431 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 133202121111120 its reverse (21111121202331), we get a palindrome (154313242313451).

The spelling of 133202121111120 in words is "one hundred thirty-three trillion, two hundred two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1229 1416 1770 2360 2458 2832 3540 3687 4720 4916 6145 7080 7374 9832 12290 14160 14748 18435 19664 24580 29496 36870 49160 58992 72511 73740 98320 145022 147480 217533 290044 294960 362555 435066 580088 725110 870132 1087665 1160176 1450220 1740264 2175330 2900440 3480528 4350660 5800880 7654133 8701320 15308266 17402640 22962399 30616532 38270665 45924798 61233064 76541330 91849596 114811995 122466128 153082660 183699192 229623990 306165320 367398384 451593847 459247980 612330640 903187694 918495960 1354781541 1806375388 1836991920 2257969235 2709563082 3612750776 4515938470 5419126164 6773907705 7225501552 9031876940 9406929457 10838252328 13547815410 18063753880 18813858914 21676504656 27095630820 28220788371 36127507760 37627717828 47034647285 54191261640 56441576742 75255435656 94069294570 108382523280 112883153484 141103941855 150510871312 188138589140 225766306968 282207883710 376277178280 451532613936 555008837963 564415767420 752554356560 1110017675926 1128831534840 1665026513889 2220035351852 2257663069680 2775044189815 3330053027778 4440070703704 5550088379630 6660106055556 8325132569445 8880141407408 11100176759260 13320212111112 16650265138890 22200353518520 26640424222224 33300530277780 44400707037040 66601060555560 133202121111120