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21031113031131 = 3719169501310969
BaseRepresentation
bin1001100100000101100000…
…00001010111110111011011
32202110112222102112200012010
410302002300001113313123
510224033204413444011
6112421320540521003
74300306405125330
oct462026001276733
982415872480163
1021031113031131
1167792770317a5
122437b79250163
13b972c1408768
14529ca8880987
15267102cd31a6
hex1320b0057ddb

21031113031131 has 32 divisors (see below), whose sum is σ = 33734423641600. Its totient is φ = 11385160416000.

The previous prime is 21031113031069. The next prime is 21031113031157. The reversal of 21031113031131 is 13113031113012.

It is not a de Polignac number, because 21031113031131 - 26 = 21031113031067 is a prime.

It is a super-2 number, since 2×210311130311312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21031113031098 and 21031113031107.

It is not an unprimeable number, because it can be changed into a prime (21031113033131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67475415 + ... + 67786383.

It is an arithmetic number, because the mean of its divisors is an integer number (1054200738800).

Almost surely, 221031113031131 is an apocalyptic number.

21031113031131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21031113031131 is a deficient number, since it is larger than the sum of its proper divisors (12703310610469).

21031113031131 is a wasteful number, since it uses less digits than its factorization.

21031113031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480499.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 21031113031131 its reverse (13113031113012), we get a palindrome (34144144144143).

The spelling of 21031113031131 in words is "twenty-one trillion, thirty-one billion, one hundred thirteen million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 169501 310969 508503 932907 1186507 2176783 3220519 3559521 5908411 6530349 9661557 17725233 22543633 41358877 67630899 124076631 52709556469 158128669407 368966895283 1001481572911 1106900685849 3004444718733 7010371010377 21031113031131