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10013200031 = 41435679637
BaseRepresentation
bin10010101001101010…
…10100111010011111
3221211211121021011102
421110311110322133
5131001334400111
64333333343315
7503064540002
oct112465247237
927754537142
1010013200031
11427921042a
121b35497b3b
13c3765c743
146adbdb539
153d911913b
hex254d54e9f

10013200031 has 8 divisors (see below), whose sum is σ = 10495971024. Its totient is φ = 9541788480.

The previous prime is 10013200027. The next prime is 10013200061. The reversal of 10013200031 is 13000231001.

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 10013200031 - 22 = 10013200027 is a prime.

It is a super-2 number, since 2×100132000312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013199985 and 10013200021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013200061) 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, 2838056 + ... + 2841581.

It is an arithmetic number, because the mean of its divisors is an integer number (1311996378).

Almost surely, 210013200031 is an apocalyptic number.

10013200031 is a deficient number, since it is larger than the sum of its proper divisors (482770993).

10013200031 is an equidigital number, since it uses as much as digits as its factorization.

10013200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679721.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10013200031 its reverse (13000231001), we get a palindrome (23013431032).

The spelling of 10013200031 in words is "ten billion, thirteen million, two hundred thousand, thirty-one".

Divisors: 1 41 43 1763 5679637 232865117 244224391 10013200031