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10003120032 = 253565918413
BaseRepresentation
bin10010101000011101…
…10111111110100000
3221211010122011000010
421110032313332200
5130441244320112
64332333324520
7502613055153
oct112416677640
927733564003
1010003120032
114273556154
121b32036740
13c35540649
146ac735c9a
153d82c763c
hex2543b7fa0

10003120032 has 48 divisors (see below), whose sum is σ = 26264256480. Its totient is φ = 3333603072.

The previous prime is 10003120031. The next prime is 10003120037. The reversal of 10003120032 is 23002130001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10003120031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534058 + ... + 552470.

It is an arithmetic number, because the mean of its divisors is an integer number (547172010).

Almost surely, 210003120032 is an apocalyptic number.

10003120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003120032 is an abundant number, since it is smaller than the sum of its proper divisors (16261136448).

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

10003120032 is a wasteful number, since it uses less digits than its factorization.

10003120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24085 (or 24077 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10003120032 its reverse (23002130001), we get a palindrome (33005250033).

The spelling of 10003120032 in words is "ten billion, three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5659 11318 16977 18413 22636 33954 36826 45272 55239 67908 73652 90544 110478 135816 147304 181088 220956 271632 294608 441912 543264 589216 883824 1767648 104199167 208398334 312597501 416796668 625195002 833593336 1250390004 1667186672 2500780008 3334373344 5001560016 10003120032