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10022212131 = 319175828283
BaseRepresentation
bin10010101010101111…
…01101001000100011
3221212110120010102220
421111113231020203
5131011141242011
64334254442123
7503234253231
oct112527551043
927773503386
1010022212131
114283306348
121b38503343
13c39496749
146b10a5951
153d9ce9506
hex2555ed223

10022212131 has 8 divisors (see below), whose sum is σ = 14066262720. Its totient is φ = 6329818152.

The previous prime is 10022212103. The next prime is 10022212153. The reversal of 10022212131 is 13121222001.

10022212131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10022212131 - 231 = 7874728483 is a prime.

It is a super-2 number, since 2×100222121312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10022212131.

It is not an unprimeable number, because it can be changed into a prime (10022212171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87914085 + ... + 87914198.

It is an arithmetic number, because the mean of its divisors is an integer number (1758282840).

Almost surely, 210022212131 is an apocalyptic number.

10022212131 is a deficient number, since it is larger than the sum of its proper divisors (4044050589).

10022212131 is a wasteful number, since it uses less digits than its factorization.

10022212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175828305.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10022212131 its reverse (13121222001), we get a palindrome (23143434132).

The spelling of 10022212131 in words is "ten billion, twenty-two million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 19 57 175828283 527484849 3340737377 10022212131