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23220400381 is a prime number
BaseRepresentation
bin10101101000000010…
…110011000011111101
32012221021021120001221
4111220002303003331
5340023410303011
614400045433341
71451265101203
oct255002630375
965837246057
1023220400381
119936346542
12460056b851
132260939ba9
1411a3ca1073
1590d848971
hex5680b30fd

23220400381 has 2 divisors, whose sum is σ = 23220400382. Its totient is φ = 23220400380.

The previous prime is 23220400349. The next prime is 23220400417. The reversal of 23220400381 is 18300402232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12385464100 + 10834936281 = 111290^2 + 104091^2 .

It is a cyclic number.

It is not a de Polignac number, because 23220400381 - 25 = 23220400349 is a prime.

It is a super-2 number, since 2×232204003812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23220400331) 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, 11610200190 + 11610200191.

It is an arithmetic number, because the mean of its divisors is an integer number (11610200191).

Almost surely, 223220400381 is an apocalyptic number.

It is an amenable number.

23220400381 is a deficient number, since it is larger than the sum of its proper divisors (1).

23220400381 is an equidigital number, since it uses as much as digits as its factorization.

23220400381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 23220400381 in words is "twenty-three billion, two hundred twenty million, four hundred thousand, three hundred eighty-one".