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10020400314 = 231759949441
BaseRepresentation
bin10010101010100001…
…10010110010111010
3221212100011002002120
421111100302302322
5131010210302224
64334151542110
7503212666041
oct112520626272
927770132076
1010020400314
114282289081
121b3798a936
13c38cb0b72
146b0b53558
153d9a8c779
hex255432cba

10020400314 has 16 divisors (see below), whose sum is σ = 20052215040. Its totient is φ = 3338231040.

The previous prime is 10020400303. The next prime is 10020400331. The reversal of 10020400314 is 41300402001.

It is a super-2 number, since 2×100204003142 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10020400293 and 10020400302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464167 + ... + 485274.

It is an arithmetic number, because the mean of its divisors is an integer number (1253263440).

Almost surely, 210020400314 is an apocalyptic number.

10020400314 is an abundant number, since it is smaller than the sum of its proper divisors (10031814726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10020400314 is a wasteful number, since it uses less digits than its factorization.

10020400314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951205.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10020400314 its reverse (41300402001), we get a palindrome (51320802315).

The spelling of 10020400314 in words is "ten billion, twenty million, four hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 1759 3518 5277 10554 949441 1898882 2848323 5696646 1670066719 3340133438 5010200157 10020400314