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123032131004531 = 7231591701180701
BaseRepresentation
bin11011111110010110100110…
…011101101110100001110011
3121010121202102202012110102102
4123332112212131232201303
5112111224301014121111
61113400103011211015
734625530620365300
oct3376264635564163
9533552382173372
10123032131004531
11362246a7569191
121197054b8a6a6b
135385b59976a98
142254b0340c0a7
15e35534b1213b
hex6fe5a676e873

123032131004531 has 48 divisors (see below), whose sum is σ = 150250441282560. Its totient is φ = 100317427560000.

The previous prime is 123032131004527. The next prime is 123032131004567. The reversal of 123032131004531 is 135400131230321.

It is not a de Polignac number, because 123032131004531 - 22 = 123032131004527 is a prime.

It is a super-2 number, since 2×1230321310045312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123032131004494 and 123032131004503.

It is not an unprimeable number, because it can be changed into a prime (123032131004501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1524502481 + ... + 1524583181.

It is an arithmetic number, because the mean of its divisors is an integer number (3130217526720).

Almost surely, 2123032131004531 is an apocalyptic number.

123032131004531 is a deficient number, since it is larger than the sum of its proper divisors (27218310278029).

123032131004531 is a wasteful number, since it uses less digits than its factorization.

123032131004531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97816 (or 97809 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 123032131004531 its reverse (135400131230321), we get a palindrome (258432262234852).

The spelling of 123032131004531 in words is "one hundred twenty-three trillion, thirty-two billion, one hundred thirty-one million, four thousand, five hundred thirty-one".

Divisors: 1 7 31 49 59 217 413 1519 1829 2891 12803 17011 80701 89621 119077 527341 564907 833539 1003649 2501731 3691387 3954349 4761359 7025543 17512117 25839709 31113119 33329513 49178801 122584819 147602129 217791833 233306591 1033214903 1372804711 1524542831 7232504321 9609632977 42556946041 67267430839 80995477949 297898622287 566968345643 2085290356009 2510859816419 3968778419501 17576018714933 123032131004531