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10124141981 is a prime number
BaseRepresentation
bin10010110110111001…
…00010010110011101
3222010120100200220112
421123130202112131
5131213240020411
64352335255405
7505612533632
oct113334422635
928116320815
1010124141981
1143258a5798
121b6667a565
13c54634775
146c083a189
153e3c30b8b
hex25b72259d

10124141981 has 2 divisors, whose sum is σ = 10124141982. Its totient is φ = 10124141980.

The previous prime is 10124141939. The next prime is 10124142029. The reversal of 10124141981 is 18914142101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9140316025 + 983825956 = 95605^2 + 31366^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10124141981 is a prime.

It is a super-3 number, since 3×101241419813 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10124141581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5062070990 + 5062070991.

It is an arithmetic number, because the mean of its divisors is an integer number (5062070991).

Almost surely, 210124141981 is an apocalyptic number.

It is an amenable number.

10124141981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10124141981 is an equidigital number, since it uses as much as digits as its factorization.

10124141981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 10124141981 in words is "ten billion, one hundred twenty-four million, one hundred forty-one thousand, nine hundred eighty-one".