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22312111113 = 3224097102881
BaseRepresentation
bin10100110001111001…
…111100110000001001
32010120222011200102200
4110301321330300021
5331143400023423
614130001550413
71416625546425
oct246171746011
963528150380
1022312111113
11950a672356
1243a8345409
132147700516
1411193c7b85
158a8c30d43
hex531e7cc09

22312111113 has 12 divisors (see below), whose sum is σ = 32230255668. Its totient is φ = 14873978880.

The previous prime is 22312111111. The next prime is 22312111163. The reversal of 22312111113 is 31111121322.

It can be written as a sum of positive squares in 2 ways, for example, as 18826035264 + 3486075849 = 137208^2 + 59043^2 .

It is not a de Polignac number, because 22312111113 - 21 = 22312111111 is a prime.

It is a super-3 number, since 3×223121111133 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22312111111) 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 11 ways as a sum of consecutive naturals, for example, 165433 + ... + 268313.

It is an arithmetic number, because the mean of its divisors is an integer number (2685854639).

Almost surely, 222312111113 is an apocalyptic number.

It is an amenable number.

22312111113 is a deficient number, since it is larger than the sum of its proper divisors (9918144555).

22312111113 is a wasteful number, since it uses less digits than its factorization.

22312111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126984 (or 126981 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 22312111113 its reverse (31111121322), we get a palindrome (53423232435).

The spelling of 22312111113 in words is "twenty-two billion, three hundred twelve million, one hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 9 24097 72291 102881 216873 308643 925929 2479123457 7437370371 22312111113