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10100134331 = 73315937351
BaseRepresentation
bin10010110100000001…
…11101000110111011
3222001220011222121022
421122000331012323
5131141113244311
64350120533055
7505201503530
oct113200750673
928056158538
1010100134331
114313298461
121b5a62118b
13c4c67a161
146bb58ad87
153e1a8c5db
hex25a03d1bb

10100134331 has 16 divisors (see below), whose sum is σ = 11598985728. Its totient is φ = 8615376000.

The previous prime is 10100134321. The next prime is 10100134339. The reversal of 10100134331 is 13343100101.

10100134331 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 10100134331 - 226 = 10033025467 is a prime.

It is a super-2 number, since 2×101001343312 (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 (10100134339) 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 15 ways as a sum of consecutive naturals, for example, 1370306 + ... + 1377656.

It is an arithmetic number, because the mean of its divisors is an integer number (724936608).

Almost surely, 210100134331 is an apocalyptic number.

10100134331 is a deficient number, since it is larger than the sum of its proper divisors (1498851397).

10100134331 is an equidigital number, since it uses as much as digits as its factorization.

10100134331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10100134331 its reverse (13343100101), we get a palindrome (23443234432).

The spelling of 10100134331 in words is "ten billion, one hundred million, one hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 7 331 593 2317 4151 7351 51457 196283 1373981 2433181 4359143 17032267 30514001 1442876333 10100134331