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13032144123031 = 1110111730102721
BaseRepresentation
bin1011110110100100100001…
…0100100011010010010111
31201010212020112100011111201
42331221020110203102113
53202004312343414111
643414515004413331
72513353452213655
oct275511024432227
951125215304451
1013032144123031
1141749a0679130
121565872847247
13736c06319767
14330a8b123dd5
15178ee16416c1
hexbda48523497

13032144123031 has 8 divisors (see below), whose sum is σ = 14357645731728. Its totient is φ = 11730102720000.

The previous prime is 13032144123029. The next prime is 13032144123109.

13032144123031 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13032144123031 - 21 = 13032144123029 is a prime.

It is a super-2 number, since 2×130321441230312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032144127031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5865050250 + ... + 5865052471.

It is an arithmetic number, because the mean of its divisors is an integer number (1794705716466).

Almost surely, 213032144123031 is an apocalyptic number.

13032144123031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13032144123031 is a deficient number, since it is larger than the sum of its proper divisors (1325501608697).

13032144123031 is a wasteful number, since it uses less digits than its factorization.

13032144123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11730102833.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 1303214 and 4123031, that added together give a palindrome (5426245).

The spelling of 13032144123031 in words is "thirteen trillion, thirty-two billion, one hundred forty-four million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 11 101 1111 11730102721 129031129931 1184740374821 13032144123031