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10221012131 = 11929182921
BaseRepresentation
bin10011000010011100…
…00100010010100011
3222101022122012202212
421201032010102203
5131413034342011
64410115432335
7511200112121
oct114116042243
928338565685
1010221012131
114375549770
121b92bb56ab
13c6b720795
146cd654911
153ec4b808b
hex2613844a3

10221012131 has 4 divisors (see below), whose sum is σ = 11150195064. Its totient is φ = 9291829200.

The previous prime is 10221012089. The next prime is 10221012143. The reversal of 10221012131 is 13121012201.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221012131 is a prime.

It is a super-3 number, since 3×102210121313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 464591450 + ... + 464591471.

It is an arithmetic number, because the mean of its divisors is an integer number (2787548766).

Almost surely, 210221012131 is an apocalyptic number.

10221012131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221012131 is a deficient number, since it is larger than the sum of its proper divisors (929182933).

10221012131 is an equidigital number, since it uses as much as digits as its factorization.

10221012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929182932.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10221012131 its reverse (13121012201), we get a palindrome (23342024332).

The spelling of 10221012131 in words is "ten billion, two hundred twenty-one million, twelve thousand, one hundred thirty-one".

Divisors: 1 11 929182921 10221012131