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31300111014 = 23617110711257
BaseRepresentation
bin11101001001101000…
…011100101010100110
32222210100200101101220
4131021220130222212
51003100312023024
622213514001210
72155434360654
oct351150345246
988710611356
1031300111014
1112302107747
126096416206
132c4a83b763
14172cd97dd4
15c32d3be79
hex749a1caa6

31300111014 has 64 divisors (see below), whose sum is σ = 65131402752. Its totient is φ = 10022342400.

The previous prime is 31300110971. The next prime is 31300111033. The reversal of 31300111014 is 41011100313.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31300110984 and 31300111002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2774874 + ... + 2786130.

It is an arithmetic number, because the mean of its divisors is an integer number (1017678168).

Almost surely, 231300111014 is an apocalyptic number.

31300111014 is an abundant number, since it is smaller than the sum of its proper divisors (33831291738).

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

31300111014 is a wasteful number, since it uses less digits than its factorization.

31300111014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11501.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31300111014 its reverse (41011100313), we get a palindrome (72311211327).

The spelling of 31300111014 in words is "thirty-one billion, three hundred million, one hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 61 71 107 122 142 183 213 214 321 366 426 642 4331 6527 7597 8662 11257 12993 13054 15194 19581 22514 22791 25986 33771 39162 45582 67542 463417 686677 799247 926834 1204499 1373354 1390251 1598494 2060031 2397741 2408998 2780502 3613497 4120062 4795482 7226994 48754067 73474439 85519429 97508134 146262201 146948878 171038858 220423317 256558287 292524402 440846634 513116574 5216685169 10433370338 15650055507 31300111014