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10000132331 = 74347709997
BaseRepresentation
bin10010101000000110…
…11110100011101011
3221210221000100122112
421110003132203223
5130440013213311
64332145312535
7502545502520
oct112403364353
927727010575
1010000132331
1142718a5482
121b3103574b
13c34a35787
146ac199147
153d7dd728b
hex2540de8eb

10000132331 has 32 divisors (see below), whose sum is σ = 11972167680. Its totient is φ = 8174307456.

The previous prime is 10000132313. The next prime is 10000132357. The reversal of 10000132331 is 13323100001.

10000132331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000132331 - 218 = 9999870187 is a prime.

It is a super-2 number, since 2×100001323312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000132361) 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 31 ways as a sum of consecutive naturals, for example, 10029725 + ... + 10030721.

It is an arithmetic number, because the mean of its divisors is an integer number (374130240).

Almost surely, 210000132331 is an apocalyptic number.

10000132331 is a deficient number, since it is larger than the sum of its proper divisors (1972035349).

10000132331 is an equidigital number, since it uses as much as digits as its factorization.

10000132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10000132331 its reverse (13323100001), we get a palindrome (23323232332).

The spelling of 10000132331 in words is "ten billion, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 43 47 301 329 709 997 2021 4963 6979 14147 30487 33323 42871 46859 213409 233261 300097 328013 706873 1432889 2014937 4948111 10030223 14104559 30395539 33223031 212768773 232561217 1428590333 10000132331