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13023233232031 = 112432503023877
BaseRepresentation
bin1011110110000011010100…
…1100001100110010011111
31201010000020111221000001201
42331200311030030302133
53201333040201411111
643410442445220331
72512616600664631
oct275406514146237
951100214830051
1013023233232031
11417113870a900
121563ba65616a7
137361161689a9
143304838a6a51
15178b6e1b76c1
hexbd83530cc9f

13023233232031 has 12 divisors (see below), whose sum is σ = 14647695734056. Its totient is φ = 11563970307120.

The previous prime is 13023233231963. The next prime is 13023233232077.

13023233232031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13023233232031 - 211 = 13023233229983 is a prime.

It is a super-2 number, since 2×130232332320312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023233232631) 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 11 ways as a sum of consecutive naturals, for example, 1251506736 + ... + 1251517141.

Almost surely, 213023233232031 is an apocalyptic number.

13023233232031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13023233232031 is a deficient number, since it is larger than the sum of its proper divisors (1624462502025).

13023233232031 is a wasteful number, since it uses less digits than its factorization.

13023233232031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503023942 (or 2503023931 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 1302323 and 3232031, that added together give a palindrome (4534354).

The spelling of 13023233232031 in words is "thirteen trillion, twenty-three billion, two hundred thirty-three million, two hundred thirty-two thousand, thirty-one".

Divisors: 1 11 43 121 473 5203 2503023877 27533262647 107630026711 302865889117 1183930293821 13023233232031