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10031024144 = 243120223839
BaseRepresentation
bin10010101011110010…
…10100100000010000
3221220002010211020202
421111321110200100
5131020420233034
64335211354332
7503402204231
oct112571244020
927802124222
1010031024144
1142882849a9
121b3b4529a8
13c3b26065b
146b231b088
153da98a47e
hex255e54810

10031024144 has 20 divisors (see below), whose sum is σ = 20062049280. Its totient is φ = 4853721120.

The previous prime is 10031024111. The next prime is 10031024149. The reversal of 10031024144 is 44142013001.

10031024144 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (10031024149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10111424 + ... + 10112415.

It is an arithmetic number, because the mean of its divisors is an integer number (1003102464).

Almost surely, 210031024144 is an apocalyptic number.

It is an amenable number.

10031024144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10031024144 is a wasteful number, since it uses less digits than its factorization.

10031024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223878 (or 20223872 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10031024144 its reverse (44142013001), we get a palindrome (54173037145).

The spelling of 10031024144 in words is "ten billion, thirty-one million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 20223839 40447678 80895356 161790712 323581424 626939009 1253878018 2507756036 5015512072 10031024144