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101678961029 is a prime number
BaseRepresentation
bin101111010110010001…
…0011101000110000101
3100201110011220101210112
41132230202131012011
53131214303223104
6114413301002405
710226461623422
oct1365442350605
9321404811715
10101678961029
113a1381393a8
12178580b3405
1397856009c9
144cc802ad49
1529a183486e
hex17ac89d185

101678961029 has 2 divisors, whose sum is σ = 101678961030. Its totient is φ = 101678961028.

The previous prime is 101678960987. The next prime is 101678961031. The reversal of 101678961029 is 920169876101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85972104100 + 15706856929 = 293210^2 + 125327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101678961029 is a prime.

It is a super-2 number, since 2×1016789610292 (a number of 23 digits) contains 22 as substring.

Together with 101678961031, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101678961089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50839480514 + 50839480515.

It is an arithmetic number, because the mean of its divisors is an integer number (50839480515).

Almost surely, 2101678961029 is an apocalyptic number.

It is an amenable number.

101678961029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101678961029 is an equidigital number, since it uses as much as digits as its factorization.

101678961029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 326592, while the sum is 50.

The spelling of 101678961029 in words is "one hundred one billion, six hundred seventy-eight million, nine hundred sixty-one thousand, twenty-nine".