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101641679641 = 244734153217
BaseRepresentation
bin101111010101001010…
…0001111001100011001
3100201100120202022100101
41132222110033030121
53131130232222031
6114405445535401
710225530010345
oct1365224171431
9321316668311
10101641679641
113a119095337
1217847714561
13977a979708
144cc30c4625
15299d41d361
hex17aa50f319

101641679641 has 4 divisors (see below), whose sum is σ = 101645857332. Its totient is φ = 101637501952.

The previous prime is 101641679617. The next prime is 101641679677. The reversal of 101641679641 is 146976146101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 93745580041 + 7896099600 = 306179^2 + 88860^2 .

It is a cyclic number.

It is not a de Polignac number, because 101641679641 - 219 = 101641155353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101641679591 and 101641679600.

It is not an unprimeable number, because it can be changed into a prime (101641679941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2052136 + ... + 2101081.

It is an arithmetic number, because the mean of its divisors is an integer number (25411464333).

Almost surely, 2101641679641 is an apocalyptic number.

It is an amenable number.

101641679641 is a deficient number, since it is larger than the sum of its proper divisors (4177691).

101641679641 is an equidigital number, since it uses as much as digits as its factorization.

101641679641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177690.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 101641679641 in words is "one hundred one billion, six hundred forty-one million, six hundred seventy-nine thousand, six hundred forty-one".

Divisors: 1 24473 4153217 101641679641