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10116879340 = 225505843967
BaseRepresentation
bin10010110110000001…
…10101001111101100
3222010001200201102211
421123000311033230
5131204410114330
64351515500204
7505464025021
oct113300651754
928101621384
1010116879340
114321795207
121b64157664
13c52c90b49
146bd8a9548
153e3298d2a
hex25b0353ec

10116879340 has 12 divisors (see below), whose sum is σ = 21245446656. Its totient is φ = 4046751728.

The previous prime is 10116879317. The next prime is 10116879347. The reversal of 10116879340 is 4397861101.

10116879340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10116879293 and 10116879302.

It is not an unprimeable number, because it can be changed into a prime (10116879347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252921964 + ... + 252922003.

It is an arithmetic number, because the mean of its divisors is an integer number (1770453888).

Almost surely, 210116879340 is an apocalyptic number.

10116879340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10116879340 is an abundant number, since it is smaller than the sum of its proper divisors (11128567316).

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

10116879340 is a wasteful number, since it uses less digits than its factorization.

10116879340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505843976 (or 505843974 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 10116879340 in words is "ten billion, one hundred sixteen million, eight hundred seventy-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 505843967 1011687934 2023375868 2529219835 5058439670 10116879340