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31311332010100 = 22521486921058129
BaseRepresentation
bin1110001111010001111001…
…10100100110100001110100
311002212100000120012222012001
413013220330310212201310
513101001101443310400
6150332121035105044
76411111665513122
oct707507464464164
9132770016188161
1031311332010100
119a820746a914a
1236184198a2184
1314618521889bc
147a369594c912
1539472d9c1a6a
hex1c7a3cd26874

31311332010100 has 36 divisors (see below), whose sum is σ = 67950163302700. Its totient is φ = 12523689884160.

The previous prime is 31311332010071. The next prime is 31311332010137. The reversal of 31311332010100 is 101023311313.

It can be written as a sum of positive squares in 6 ways, for example, as 7357081211236 + 23954250798864 = 2712394^2 + 4894308^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9042165 + ... + 12015964.

Almost surely, 231311332010100 is an apocalyptic number.

It is an amenable number.

31311332010100 is an abundant number, since it is smaller than the sum of its proper divisors (36638831292600).

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

31311332010100 is a wasteful number, since it uses less digits than its factorization.

31311332010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21073012 (or 21073005 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31311332010100 its reverse (101023311313), we get a palindrome (31412355321413).

The spelling of 31311332010100 in words is "thirty-one trillion, three hundred eleven billion, three hundred thirty-two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 14869 29738 59476 74345 148690 297380 371725 743450 1486900 21058129 42116258 84232516 105290645 210581290 421162580 526453225 1052906450 2105812900 313113320101 626226640202 1252453280404 1565566600505 3131133201010 6262266402020 7827833002525 15655666005050 31311332010100