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10022111131 = 293079112241
BaseRepresentation
bin10010101010101110…
…10100011110011011
3221212110100222220011
421111113110132123
5131011130024011
64334252342351
7503233352614
oct112527243633
927773328804
1010022111131
11428324747a
121b384749b7
13c3945c796
146b107ac0b
153d9cc9621
hex2555d479b

10022111131 has 8 divisors (see below), whose sum is σ = 10371160800. Its totient is φ = 9673292160.

The previous prime is 10022111111. The next prime is 10022111219. The reversal of 10022111131 is 13111122001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10022111131 - 29 = 10022110619 is a prime.

It is a super-2 number, since 2×100221111312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022111111) 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 7 ways as a sum of consecutive naturals, for example, 33171 + ... + 145411.

It is an arithmetic number, because the mean of its divisors is an integer number (1296395100).

Almost surely, 210022111131 is an apocalyptic number.

10022111131 is a deficient number, since it is larger than the sum of its proper divisors (349049669).

10022111131 is a wasteful number, since it uses less digits than its factorization.

10022111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115349.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10022111131 its reverse (13111122001), we get a palindrome (23133233132).

The spelling of 10022111131 in words is "ten billion, twenty-two million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 29 3079 89291 112241 3254989 345590039 10022111131