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31311323100032 = 271732413443939
BaseRepresentation
bin1110001111010001111000…
…10010100111001110000000
311002212022222221110021212112
413013220330102213032000
513101001042203200112
6150332120120114452
76411111530003213
oct707507422471600
9132768887407775
1031311323100032
119a8206a672958
123618416905a28
131461850389281
147a36946ad77a
1539472cd11a22
hex1c7a3c4a7380

31311323100032 has 64 divisors (see below), whose sum is σ = 66049508624400. Its totient is φ = 14734252498944.

The previous prime is 31311323100023. The next prime is 31311323100067. The reversal of 31311323100032 is 23000132311313.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 31311323099980 and 31311323100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70308719 + ... + 70752657.

Almost surely, 231311323100032 is an apocalyptic number.

31311323100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31311323100032 is an abundant number, since it is smaller than the sum of its proper divisors (34738185524368).

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

31311323100032 is a wasteful number, since it uses less digits than its factorization.

31311323100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476383 (or 476371 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 31311323100032 its reverse (23000132311313), we get a palindrome (54311455411345).

The spelling of 31311323100032 in words is "thirty-one trillion, three hundred eleven billion, three hundred twenty-three million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 32413 64826 129652 259304 443939 518608 551021 887878 1037216 1102042 1775756 2074432 2204084 3551512 4148864 4408168 7103024 7546963 8816336 14206048 15093926 17632672 28412096 30187852 35265344 56824192 60375704 70530688 120751408 241502816 483005632 966011264 14389394807 28778789614 57557579228 115115158456 230230316912 244619711719 460460633824 489239423438 920921267648 978478846876 1841842535296 1956957693752 3913915387504 7827830775008 15655661550016 31311323100032