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13032211223031 = 3711134339730677
BaseRepresentation
bin1011110110100100110001…
…0100100001000111110111
31201010212102012121012101220
42331221030110201013313
53202004432033114111
643414525402521423
72513355225441540
oct275511424410767
951125365535356
1013032211223031
114174a25539380
121565891206273
13736c171b12c0
14330a95dcd4c7
15178ee7497e06
hexbda4c5211f7

13032211223031 has 32 divisors (see below), whose sum is σ = 23330392124928. Its totient is φ = 6249212173440.

The previous prime is 13032211222991. The next prime is 13032211223041.

13032211223031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13032211223031 - 210 = 13032211222007 is a prime.

It is a super-2 number, since 2×130322112230312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13032211222992 and 13032211223010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032211223041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2169862336 + ... + 2169868341.

It is an arithmetic number, because the mean of its divisors is an integer number (729074753904).

Almost surely, 213032211223031 is an apocalyptic number.

13032211223031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13032211223031 is a deficient number, since it is larger than the sum of its proper divisors (10298180901897).

13032211223031 is a wasteful number, since it uses less digits than its factorization.

13032211223031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339730711.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1303221 and 1223031, that added together give a palindrome (2526252).

The spelling of 13032211223031 in words is "thirteen trillion, thirty-two billion, two hundred eleven million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 4339730677 13019192031 30378114739 47737037447 56416498801 91134344217 143211112341 169249496403 334159262129 394915491607 620581486811 1002477786387 1184746474821 1861744460433 4344070407677 13032211223031