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13003211230031 = 112940762417649
BaseRepresentation
bin1011110100111000101111…
…0010010100101101001111
31201001002120010222220202002
42331032023302110231033
53201021034033330111
643353332012222515
72511310460533151
oct275161362245517
951032503886662
1013003211230031
1141636a3823410
12156013916aa3b
13734275059629
1432d5046d4ad1
1517839b55263b
hexbd38bc94b4f

13003211230031 has 8 divisors (see below), whose sum is σ = 14674470354000. Its totient is φ = 11413476941440.

The previous prime is 13003211230007. The next prime is 13003211230033.

13003211230031 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 13003211230031 - 210 = 13003211229007 is a prime.

It is a super-2 number, since 2×130032112300312 (a number of 27 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 = 13003211229985 and 13003211230012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003211230033) 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, 20381208506 + ... + 20381209143.

It is an arithmetic number, because the mean of its divisors is an integer number (1834308794250).

Almost surely, 213003211230031 is an apocalyptic number.

13003211230031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13003211230031 is a deficient number, since it is larger than the sum of its proper divisors (1671259123969).

13003211230031 is a wasteful number, since it uses less digits than its factorization.

13003211230031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40762417689.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 1300321 and 1230031, that added together give a palindrome (2530352).

The spelling of 13003211230031 in words is "thirteen trillion, three billion, two hundred eleven million, two hundred thirty thousand, thirty-one".

Divisors: 1 11 29 319 40762417649 448386594139 1182110111821 13003211230031