Search a number
-
+
10003230132 = 2237892913337
BaseRepresentation
bin10010101000011110…
…10010110110110100
3221211010211202000220
421110033102312310
5130441311331012
64332335534340
7502614024150
oct112417226664
927733752026
1010003230132
114273620945
121b3208a3b0
13c3557b7ac
146ac764060
153d82ea08c
hex2543d2db4

10003230132 has 48 divisors (see below), whose sum is σ = 26680268160. Its totient is φ = 2857531392.

The previous prime is 10003230103. The next prime is 10003230157. The reversal of 10003230132 is 23103230001.

10003230132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100032301322 (a number of 21 digits) contains 22 as substring.

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, 743368 + ... + 756704.

It is an arithmetic number, because the mean of its divisors is an integer number (555838920).

Almost surely, 210003230132 is an apocalyptic number.

10003230132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003230132 is an abundant number, since it is smaller than the sum of its proper divisors (16677038028).

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

10003230132 is a wasteful number, since it uses less digits than its factorization.

10003230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22280 (or 22278 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10003230132 its reverse (23103230001), we get a palindrome (33106460133).

The spelling of 10003230132 in words is "ten billion, three million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 8929 13337 17858 26674 26787 35716 40011 53348 53574 62503 80022 93359 107148 125006 160044 186718 187509 250012 280077 373436 375018 560154 750036 1120308 119086073 238172146 357258219 476344292 714516438 833602511 1429032876 1667205022 2500807533 3334410044 5001615066 10003230132