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10431331120 = 245718627377
BaseRepresentation
bin10011011011100000…
…10111101100110000
3222220222101112012001
421231300113230300
5132330410043440
64443031343344
7516332565040
oct115560275460
928828345161
1010431331120
11447323a511
122031521b54
13ca317b8a2
1470d561720
15410baeb9a
hex26dc17b30

10431331120 has 40 divisors (see below), whose sum is σ = 27717538464. Its totient is φ = 3576456192.

The previous prime is 10431331049. The next prime is 10431331123. The reversal of 10431331120 is 2113313401.

10431331120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10431331123) 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 7 ways as a sum of consecutive naturals, for example, 9313129 + ... + 9314248.

Almost surely, 210431331120 is an apocalyptic number.

10431331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10431331120 is an abundant number, since it is smaller than the sum of its proper divisors (17286207344).

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

10431331120 is a wasteful number, since it uses less digits than its factorization.

10431331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18627397 (or 18627391 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10431331120 its reverse (2113313401), we get a palindrome (12544644521).

It can be divided in two parts, 10431 and 331120, that added together give a triangular number (341551 = T826).

The spelling of 10431331120 in words is "ten billion, four hundred thirty-one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 18627377 37254754 74509508 93136885 130391639 149019016 186273770 260783278 298038032 372547540 521566556 651958195 745095080 1043133112 1303916390 1490190160 2086266224 2607832780 5215665560 10431331120