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13022411422031 = 118327751492131
BaseRepresentation
bin1011110110000000010000…
…1101001111100101001111
31201002221010020112201200022
42331200010031033211033
53201324344311001111
643410225131052355
72512560331503254
oct275400415174517
951087106481608
1013022411422031
114170856832890
1215639b72a10bb
13736014b1a89b
143304066a142b
15178b21e832db
hexbd80434f94f

13022411422031 has 16 divisors (see below), whose sum is σ = 14429331197568. Its totient is φ = 11653698861600.

The previous prime is 13022411421937. The next prime is 13022411422063.

It is a happy number.

13022411422031 is nontrivially palindromic in base 10.

13022411422031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13022411422031 is a prime.

It is a super-2 number, since 2×130224114220312 (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 (13022411022031) 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, 25493165 + ... + 25998966.

It is an arithmetic number, because the mean of its divisors is an integer number (901833199848).

Almost surely, 213022411422031 is an apocalyptic number.

13022411422031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13022411422031 is a deficient number, since it is larger than the sum of its proper divisors (1406919775537).

13022411422031 is a wasteful number, since it uses less digits than its factorization.

13022411422031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51492502.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 1302241 and 1422031, that added together give a palindrome (2724272).

The spelling of 13022411422031 in words is "thirteen trillion, twenty-two billion, four hundred eleven million, four hundred twenty-two thousand, thirty-one".

Divisors: 1 11 83 277 913 3047 22991 252901 51492131 566413441 4273846873 14263320287 47012315603 156896523157 1183855583821 13022411422031