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101012321957 is a prime number
BaseRepresentation
bin101111000010011001…
…1011011011010100101
3100122201201111121220112
41132010303123122211
53123333123300312
6114223204342405
710204115366321
oct1360463333245
9318651447815
10101012321957
1139925905618
12176b09a4a05
1396aa472311
144c63698981
152963051d22
hex1784cdb6a5

101012321957 has 2 divisors, whose sum is σ = 101012321958. Its totient is φ = 101012321956.

The previous prime is 101012321953. The next prime is 101012321989. The reversal of 101012321957 is 759123210101.

It is a happy number.

It is an a-pointer prime, because the next prime (101012321989) can be obtained adding 101012321957 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95472348196 + 5539973761 = 308986^2 + 74431^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012321957 - 22 = 101012321953 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012321953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506160978 + 50506160979.

It is an arithmetic number, because the mean of its divisors is an integer number (50506160979).

Almost surely, 2101012321957 is an apocalyptic number.

It is an amenable number.

101012321957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012321957 is an equidigital number, since it uses as much as digits as its factorization.

101012321957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 101012321957 in words is "one hundred one billion, twelve million, three hundred twenty-one thousand, nine hundred fifty-seven".