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10442201226431 = 1341193101509699
BaseRepresentation
bin1001011111110100001110…
…1100011101110010111111
31100222021010221212001022112
42113331003230131302333
52332041112003221211
634113025300004235
72125265323634012
oct227750354356277
940867127761275
1010442201226431
113366570401457
12120792809067b
135a99068b9a60
14281595d79379
1513195b6d388b
hex97f43b1dcbf

10442201226431 has 16 divisors (see below), whose sum is σ = 11579414498400. Its totient is φ = 9355133767680.

The previous prime is 10442201226383. The next prime is 10442201226467. The reversal of 10442201226431 is 13462210224401.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10442201226431 is a prime.

It is a super-2 number, since 2×104422012264312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442201226491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50651981 + ... + 50857718.

It is an arithmetic number, because the mean of its divisors is an integer number (723713406150).

Almost surely, 210442201226431 is an apocalyptic number.

10442201226431 is a deficient number, since it is larger than the sum of its proper divisors (1137213271969).

10442201226431 is a wasteful number, since it uses less digits than its factorization.

10442201226431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101509946.

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 10442201226431 in words is "ten trillion, four hundred forty-two billion, two hundred one million, two hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 13 41 193 533 2509 7913 102869 101509699 1319626087 4161897659 19591371907 54104669567 254687834791 803246248187 10442201226431