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31031131100103 = 32107691361312907
BaseRepresentation
bin1110000111000111111111…
…00010111101001111000111
311001212112202212202220222200
413003203333202331033013
513031403224030200403
6145555301013125543
76351632233210101
oct703437742751707
9131775685686880
1031031131100103
119984257587252
12359205b0298b3
1314412b921c484
14793cb4154571
1538c2ce5e4ca3
hex1c38ff8bd3c7

31031131100103 has 48 divisors (see below), whose sum is σ = 45323173074816. Its totient is φ = 20457172572480.

The previous prime is 31031131100051. The next prime is 31031131100143. The reversal of 31031131100103 is 30100113113013.

31031131100103 is a `hidden beast` number, since 31 + 0 + 311 + 311 + 0 + 0 + 10 + 3 = 666.

It is not a de Polignac number, because 31031131100103 - 216 = 31031131034567 is a prime.

It is a super-2 number, since 2×310311311001032 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31031131100143) 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, 2404202976 + ... + 2404215882.

It is an arithmetic number, because the mean of its divisors is an integer number (944232772392).

Almost surely, 231031131100103 is an apocalyptic number.

31031131100103 is a deficient number, since it is larger than the sum of its proper divisors (14292041974713).

31031131100103 is a wasteful number, since it uses less digits than its factorization.

31031131100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17324 (or 17321 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31031131100103 its reverse (30100113113013), we get a palindrome (61131244213116).

The spelling of 31031131100103 in words is "thirty-one trillion, thirty-one billion, one hundred thirty-one million, one hundred thousand, one hundred three".

Divisors: 1 3 9 107 321 691 963 2073 3613 6219 10839 12907 32517 38721 73937 116163 221811 386591 665433 1159773 1381049 2496583 3479319 4143147 7489749 8918737 12429441 22469247 26756211 46632991 80268633 139898973 267134381 419696919 801403143 954304859 2404209429 2862914577 4989730037 8588743731 14969190111 32223396781 44907570333 96670190343 290010571029 3447903455567 10343710366701 31031131100103