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22563436141 is a prime number
BaseRepresentation
bin10101000000111000…
…101011011001101101
32011020111002022120001
4111000320223121231
5332202214424031
614210540424301
71426100020441
oct250070533155
964214068501
1022563436141
119629520594
124458548091
1321877b805c
14114092a821
158c0d27861
hex540e2b66d

22563436141 has 2 divisors, whose sum is σ = 22563436142. Its totient is φ = 22563436140.

The previous prime is 22563436127. The next prime is 22563436157. The reversal of 22563436141 is 14163436522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16685147241 + 5878288900 = 129171^2 + 76670^2 .

It is a cyclic number.

It is not a de Polignac number, because 22563436141 - 225 = 22529881709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22563436141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22566436141) 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 as a sum of consecutive naturals, namely, 11281718070 + 11281718071.

It is an arithmetic number, because the mean of its divisors is an integer number (11281718071).

Almost surely, 222563436141 is an apocalyptic number.

It is an amenable number.

22563436141 is a deficient number, since it is larger than the sum of its proper divisors (1).

22563436141 is an equidigital number, since it uses as much as digits as its factorization.

22563436141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 37.

The spelling of 22563436141 in words is "twenty-two billion, five hundred sixty-three million, four hundred thirty-six thousand, one hundred forty-one".