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10042420431 = 313928185703
BaseRepresentation
bin10010101101001001…
…10010110011001111
3221220212120211000110
421112210302303033
5131031324423211
64340255531103
7503601110451
oct112644626317
927825524013
1010042420431
11429375911a
121b43229a93
13c40720914
146b3a462d1
153db98bea6
hex256932ccf

10042420431 has 16 divisors (see below), whose sum is σ = 13534375680. Its totient is φ = 6623050560.

The previous prime is 10042420397. The next prime is 10042420433. The reversal of 10042420431 is 13402424001.

It is a de Polignac number, because none of the positive numbers 2k-10042420431 is a prime.

It is a super-2 number, since 2×100424204312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10042420398 and 10042420407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042420433) 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, 74326 + ... + 160028.

It is an arithmetic number, because the mean of its divisors is an integer number (845898480).

Almost surely, 210042420431 is an apocalyptic number.

10042420431 is a deficient number, since it is larger than the sum of its proper divisors (3491955249).

10042420431 is a wasteful number, since it uses less digits than its factorization.

10042420431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86126.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10042420431 its reverse (13402424001), we get a palindrome (23444844432).

The spelling of 10042420431 in words is "ten billion, forty-two million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 139 281 417 843 39059 85703 117177 257109 11912717 24082543 35738151 72247629 3347473477 10042420431