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9045106131 = 371113375799
BaseRepresentation
bin10000110110010000…
…10101110111010011
3212100100221222222210
420123020111313103
5122011021344011
64053312003203
7440101063545
oct103310256723
925310858883
109045106131
1139217aa126
121905230503
13b11c14009
1461b3d7695
1537e13b6a6
hex21b215dd3

9045106131 has 16 divisors (see below), whose sum is σ = 12338265600. Its totient is φ = 5892512640.

The previous prime is 9045106129. The next prime is 9045106151. The reversal of 9045106131 is 1316015409.

9045106131 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 9045106131 - 21 = 9045106129 is a prime.

It is a super-2 number, since 2×90451061312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9045106151) 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, 163831 + ... + 211968.

It is an arithmetic number, because the mean of its divisors is an integer number (771141600).

Almost surely, 29045106131 is an apocalyptic number.

9045106131 is a deficient number, since it is larger than the sum of its proper divisors (3293159469).

9045106131 is a wasteful number, since it uses less digits than its factorization.

9045106131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375986.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 9045106131 is about 95105.7628695549. The cubic root of 9045106131 is about 2083.5530165837.

The spelling of 9045106131 in words is "nine billion, forty-five million, one hundred six thousand, one hundred thirty-one".

Divisors: 1 3 71 113 213 339 8023 24069 375799 1127397 26681729 42465287 80045187 127395861 3015035377 9045106131