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13022031 = 3111013907
BaseRepresentation
bin110001101011…
…001101001111
3220111120212110
4301223031033
511313201111
61143035103
7215454051
oct61531517
926446773
1013022031
117394710
12443ba93
13290c259
141a2d8d1
1512235a6
hexc6b34f

13022031 has 16 divisors (see below), whose sum is σ = 19133568. Its totient is φ = 7812000.

The previous prime is 13022029. The next prime is 13022033.

It is a happy number.

13022031 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13022029) and next prime (13022033).

It is not a de Polignac number, because 13022031 - 21 = 13022029 is a prime.

It is a super-2 number, since 2×130220312 = 339146582729922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13021998 and 13022016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380 + ... + 5286.

It is an arithmetic number, because the mean of its divisors is an integer number (1195848).

Almost surely, 213022031 is an apocalyptic number.

13022031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13022031 is a deficient number, since it is larger than the sum of its proper divisors (6111537).

13022031 is a wasteful number, since it uses less digits than its factorization.

13022031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13022031 is about 3608.6051321806. The cubic root of 13022031 is about 235.2662201030.

It can be divided in two parts, 1302 and 2031, that added together give a palindrome (3333).

The spelling of 13022031 in words is "thirteen million, twenty-two thousand, thirty-one".

Divisors: 1 3 11 33 101 303 1111 3333 3907 11721 42977 128931 394607 1183821 4340677 13022031