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13022021113031 = 721783918632513
BaseRepresentation
bin1011110101111110110011…
…1100010101010011000111
31201002220010001002222101102
42331133230330111103013
53201323044401104111
643410122305250315
72512544552103200
oct275375474252307
951086101088342
1013022021113031
114170676486967
12156390863399b
13735c81cc0308
143303aa9005a7
15178aeca8613b
hexbd7ecf154c7

13022021113031 has 24 divisors (see below), whose sum is σ = 16058245865760. Its totient is φ = 10492638277632.

The previous prime is 13022021113001. The next prime is 13022021113061. The reversal of 13022021113031 is 13031112022031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13022021113001) and next prime (13022021113061).

It is a de Polignac number, because none of the positive numbers 2k-13022021113031 is a prime.

It is a super-2 number, since 2×130220211130312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13022021112994 and 13022021113012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022021113001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8617370 + ... + 10015143.

It is an arithmetic number, because the mean of its divisors is an integer number (669093577740).

Almost surely, 213022021113031 is an apocalyptic number.

13022021113031 is a deficient number, since it is larger than the sum of its proper divisors (3036224752729).

13022021113031 is a wasteful number, since it uses less digits than its factorization.

13022021113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18633383 (or 18633376 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13022021113031 its reverse (13031112022031), we get a palindrome (26053133135062).

The spelling of 13022021113031 in words is "thirteen trillion, twenty-two billion, twenty-one million, one hundred thirteen thousand, thirty-one".

Divisors: 1 7 17 49 119 833 839 5873 14263 41111 99841 698887 18632513 130427591 316752721 912993137 2217269047 15520883329 15632678407 109428748849 265755532919 766001241943 1860288730433 13022021113031