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10003101132 = 2235997431873
BaseRepresentation
bin10010101000011101…
…10011010111001100
3221211010121012002010
421110032303113030
5130441243214012
64332333101220
7502612646103
oct112416632714
927733535063
1010003101132
114273542a32
121b32027810
13c35534b6b
146ac72d03a
153d82c1c3c
hex2543b35cc

10003101132 has 48 divisors (see below), whose sum is σ = 23423500800. Its totient is φ = 3322545408.

The previous prime is 10003101127. The next prime is 10003101149. The reversal of 10003101132 is 23110130001.

10003101132 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 (12).

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, 5339748 + ... + 5341620.

It is an arithmetic number, because the mean of its divisors is an integer number (487989600).

Almost surely, 210003101132 is an apocalyptic number.

10003101132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003101132 is an abundant number, since it is smaller than the sum of its proper divisors (13420399668).

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

10003101132 is a wasteful number, since it uses less digits than its factorization.

10003101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10003101132 its reverse (23110130001), we get a palindrome (33113231133).

The spelling of 10003101132 in words is "ten billion, three million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 599 743 1198 1486 1797 1873 2229 2396 2972 3594 3746 4458 5619 7188 7492 8916 11238 22476 445057 890114 1121927 1335171 1391639 1780228 2243854 2670342 2783278 3365781 4174917 4487708 5340684 5566556 6731562 8349834 13463124 16699668 833591761 1667183522 2500775283 3334367044 5001550566 10003101132