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10312116024 = 2337311980053
BaseRepresentation
bin10011001101010011…
…00110011100111000
3222121200001202211010
421212221212130320
5132104400203044
64423132233520
7513354353130
oct114651463470
928550052733
1010312116024
114411a14441
121bb960b8a0
13c8456b002
146db7abac0
154054b1bb9
hex266a66738

10312116024 has 64 divisors (see below), whose sum is σ = 30413629440. Its totient is φ = 2851274880.

The previous prime is 10312115977. The next prime is 10312116049. The reversal of 10312116024 is 42061121301.

10312116024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 984819 + ... + 995234.

It is an arithmetic number, because the mean of its divisors is an integer number (475212960).

Almost surely, 210312116024 is an apocalyptic number.

10312116024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10312116024 is an abundant number, since it is smaller than the sum of its proper divisors (20101513416).

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

10312116024 is a wasteful number, since it uses less digits than its factorization.

10312116024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980100 (or 1980096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10312116024 its reverse (42061121301), we get a palindrome (52373237325).

The spelling of 10312116024 in words is "ten billion, three hundred twelve million, one hundred sixteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 1980053 3960106 5940159 7920212 11880318 13860371 15840424 23760636 27720742 41581113 47521272 55441484 61381643 83162226 110882968 122763286 166324452 184144929 245526572 332648904 368289858 429671501 491053144 736579716 859343002 1289014503 1473159432 1718686004 2578029006 3437372008 5156058012 10312116024