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22412234102131 = 797279431006361
BaseRepresentation
bin1010001100010010000010…
…10000001001010101110011
32221100120220010111111201101
411012021001100021111303
510414200223412232011
6115400012130345231
74502142024414136
oct506110120112563
987316803444641
1022412234102131
117160a7a957225
12261b783a2b217
13c67606985413
14576a87a2a21d
1528ced88212c1
hex146241409573

22412234102131 has 8 divisors (see below), whose sum is σ = 22441180222944. Its totient is φ = 22383290051520.

The previous prime is 22412234102107. The next prime is 22412234102171. The reversal of 22412234102131 is 13120143221422.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22412234102131 is a prime.

It is a super-2 number, since 2×224122341021312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22412234102131.

It is not an unprimeable number, because it can be changed into a prime (22412234102171) 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, 21767391 + ... + 22773751.

It is an arithmetic number, because the mean of its divisors is an integer number (2805147527868).

Almost surely, 222412234102131 is an apocalyptic number.

22412234102131 is a deficient number, since it is larger than the sum of its proper divisors (28946120813).

22412234102131 is a wasteful number, since it uses less digits than its factorization.

22412234102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035101.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 22412234102131 its reverse (13120143221422), we get a palindrome (35532377323553).

The spelling of 22412234102131 in words is "twenty-two trillion, four hundred twelve billion, two hundred thirty-four million, one hundred two thousand, one hundred thirty-one".

Divisors: 1 797 27943 1006361 22270571 802069717 28120745423 22412234102131