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152092838101 is a prime number
BaseRepresentation
bin1000110110100101110…
…0001000100011010101
3112112120121111201000211
42031221130020203111
54442441231304401
6153512005205421
713663000536031
oct2155134104325
9475517451024
10152092838101
1159558495416
1225587700871
131145b0304b9
14750b6d51c1
153e526ce951
hex23697088d5

152092838101 has 2 divisors, whose sum is σ = 152092838102. Its totient is φ = 152092838100.

The previous prime is 152092838099. The next prime is 152092838119. The reversal of 152092838101 is 101838290251.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142979271876 + 9113566225 = 378126^2 + 95465^2 .

It is a cyclic number.

It is not a de Polignac number, because 152092838101 - 21 = 152092838099 is a prime.

Together with 152092838099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (152092838141) 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, 76046419050 + 76046419051.

It is an arithmetic number, because the mean of its divisors is an integer number (76046419051).

Almost surely, 2152092838101 is an apocalyptic number.

It is an amenable number.

152092838101 is a deficient number, since it is larger than the sum of its proper divisors (1).

152092838101 is an equidigital number, since it uses as much as digits as its factorization.

152092838101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 152092838101 in words is "one hundred fifty-two billion, ninety-two million, eight hundred thirty-eight thousand, one hundred one".