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13011033322031 = 591747260948383
BaseRepresentation
bin1011110101010101111000…
…0001001111001000101111
31201001211202021122100202012
42331111132001033020233
53201133044012301111
643401104114551435
72512005351320123
oct275253601171057
951054667570665
1013011033322031
114166a48127958
12156176089857b
13734c2077bb34
1432da474cb583
151786a810948b
hexbd55e04f22f

13011033322031 has 16 divisors (see below), whose sum is σ = 13244481331200. Its totient is φ = 12778022164608.

The previous prime is 13011033321977. The next prime is 13011033322069. The reversal of 13011033322031 is 13022333011031.

It is a cyclic number.

It is not a de Polignac number, because 13011033322031 - 210 = 13011033321007 is a prime.

It is a super-2 number, since 2×130110333220312 (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 = 13011033321988 and 13011033322006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011033322081) 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, 268893266 + ... + 268941648.

It is an arithmetic number, because the mean of its divisors is an integer number (827780083200).

Almost surely, 213011033322031 is an apocalyptic number.

13011033322031 is a deficient number, since it is larger than the sum of its proper divisors (233448009169).

13011033322031 is a wasteful number, since it uses less digits than its factorization.

13011033322031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52798.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13011033322031 its reverse (13022333011031), we get a palindrome (26033366333062).

The spelling of 13011033322031 in words is "thirteen trillion, eleven billion, thirty-three million, three hundred twenty-two thousand, thirty-one".

Divisors: 1 59 1747 2609 48383 103073 153931 2854597 4557923 84525101 126231247 268917457 4986980959 7447643573 220525988509 13011033322031