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10022231131 = 1119612932683
BaseRepresentation
bin10010101010101111…
…10001110001011011
3221212110121002111121
421111113301301123
5131011142344011
64334255110111
7503234362513
oct112527616133
927773532447
1010022231131
114283319650
121b38512337
13c394a22a3
146b10ac843
153d9ceee71
hex2555f1c5b

10022231131 has 32 divisors (see below), whose sum is σ = 11741748480. Its totient is φ = 8457955200.

The previous prime is 10022231123. The next prime is 10022231161. The reversal of 10022231131 is 13113222001.

It is a cyclic number.

It is not a de Polignac number, because 10022231131 - 23 = 10022231123 is a prime.

It is a super-2 number, since 2×100222311312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10022231161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3734116 + ... + 3736798.

It is an arithmetic number, because the mean of its divisors is an integer number (366929640).

Almost surely, 210022231131 is an apocalyptic number.

10022231131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10022231131 is a deficient number, since it is larger than the sum of its proper divisors (1719517349).

10022231131 is a wasteful number, since it uses less digits than its factorization.

10022231131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10022231131 its reverse (13113222001), we get a palindrome (23135453132).

The spelling of 10022231131 in words is "ten billion, twenty-two million, two hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 11 19 61 209 293 671 1159 2683 3223 5567 12749 17873 29513 50977 61237 163663 196603 339587 560747 786119 1800293 3109597 3735457 8647309 14936261 34205567 47953259 164298871 527485849 911111921 10022231131