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10042101431 = 591117152377
BaseRepresentation
bin10010101101000111…
…00100111010110111
3221220211222121102122
421112203210322313
5131031234221211
64340245030155
7503565311435
oct112643447267
927824877378
1010042101431
11429356048a
121b430b535b
13c4063b66b
146b39a1d55
153db9276db
hex2568e4eb7

10042101431 has 8 divisors (see below), whose sum is σ = 10221516240. Its totient is φ = 9862993728.

The previous prime is 10042101403. The next prime is 10042101463. The reversal of 10042101431 is 13410124001.

It is a happy number.

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 10042101431 - 210 = 10042100407 is a prime.

It is a super-2 number, since 2×100421014312 (a number of 21 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 (10042101401) 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 7 ways as a sum of consecutive naturals, for example, 10286 + ... + 142091.

It is an arithmetic number, because the mean of its divisors is an integer number (1277689530).

Almost surely, 210042101431 is an apocalyptic number.

10042101431 is a deficient number, since it is larger than the sum of its proper divisors (179414809).

10042101431 is a wasteful number, since it uses less digits than its factorization.

10042101431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153553.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10042101431 its reverse (13410124001), we get a palindrome (23452225432).

The spelling of 10042101431 in words is "ten billion, forty-two million, one hundred one thousand, four hundred thirty-one".

Divisors: 1 59 1117 65903 152377 8990243 170205109 10042101431