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13213255025100 = 22352137274660267
BaseRepresentation
bin1100000001000111001101…
…0111110100000111001100
31201210011201110110020220110
43000101303113310013030
53212441221241300400
644034030251520020
72532424530404424
oct300216327640714
951704643406813
1013213255025100
114234789aa1499
121594998459010
1374b00a15acc0
1433974c699484
1517da91635e50
hexc04735f41cc

13213255025100 has 144 divisors (see below), whose sum is σ = 41227787863808. Its totient is φ = 3248018991360.

The previous prime is 13213255025063. The next prime is 13213255025101. The reversal of 13213255025100 is 152055231231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13213255025101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505167 + ... + 5165433.

Almost surely, 213213255025100 is an apocalyptic number.

13213255025100 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 13213255025100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20613893931904).

13213255025100 is an abundant number, since it is smaller than the sum of its proper divisors (28014532838708).

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

13213255025100 is a wasteful number, since it uses less digits than its factorization.

13213255025100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661024 (or 4661017 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 13213255025100 in words is "thirteen trillion, two hundred thirteen billion, two hundred fifty-five million, twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 727 780 975 1300 1454 1950 2181 2908 3635 3900 4362 7270 8724 9451 10905 14540 18175 18902 21810 28353 36350 37804 43620 47255 54525 56706 72700 94510 109050 113412 141765 189020 218100 236275 283530 472550 567060 708825 945100 1417650 2835300 4660267 9320534 13980801 18641068 23301335 27961602 46602670 55923204 60583471 69904005 93205340 116506675 121166942 139808010 181750413 233013350 242333884 279616020 302917355 349520025 363500826 466026700 605834710 699040050 727001652 908752065 1211669420 1398080100 1514586775 1817504130 3029173550 3388014109 3635008260 4543760325 6058347100 6776028218 9087520650 10164042327 13552056436 16940070545 18175041300 20328084654 33880141090 40656169308 44044183417 50820211635 67760282180 84700352725 88088366834 101640423270 132132550251 169400705450 176176733668 203280846540 220220917085 254101058175 264265100502 338801410900 440441834170 508202116350 528530201004 660662751255 880883668340 1016404232700 1101104585425 1321325502510 2202209170850 2642651005020 3303313756275 4404418341700 6606627512550 13213255025100