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10042191361 = 127721413673
BaseRepresentation
bin10010101101000111…
…11010111000000001
3221220212011011210101
421112203322320001
5131031300110421
64340251002401
7503566134556
oct112643727001
927825134711
1010042191361
114293612004
121b43139401
13c40670587
146b39c6a2d
153db944191
hex2568fae01

10042191361 has 8 divisors (see below), whose sum is σ = 10057486824. Its totient is φ = 10026910080.

The previous prime is 10042191323. The next prime is 10042191373. The reversal of 10042191361 is 16319124001.

It can be written as a sum of positive squares in 4 ways, for example, as 2248656400 + 7793534961 = 47420^2 + 88281^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10042191361 - 227 = 9907973633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042191661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2732221 + ... + 2735893.

It is an arithmetic number, because the mean of its divisors is an integer number (1257185853).

Almost surely, 210042191361 is an apocalyptic number.

It is an amenable number.

10042191361 is a deficient number, since it is larger than the sum of its proper divisors (15295463).

10042191361 is a wasteful number, since it uses less digits than its factorization.

10042191361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7091.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 10042191361 in words is "ten billion, forty-two million, one hundred ninety-one thousand, three hundred sixty-one".

Divisors: 1 1277 2141 3673 2734057 4690421 7863893 10042191361