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918131201 = 1325432729
BaseRepresentation
bin110110101110011…
…001001000000001
32100222121220020022
4312232121020001
53340020144301
6231034423225
731515662231
oct6656311001
92328556208
10918131201
11431296619
12217591b15
131182a4300
1489d19cc1
155590dd1b
hex36b99201

918131201 has 6 divisors (see below), whose sum is σ = 994189590. Its totient is φ = 847505568.

The previous prime is 918131183. The next prime is 918131219. The reversal of 918131201 is 102131819.

It is an interprime number because it is at equal distance from previous prime (918131183) and next prime (918131219).

It can be written as a sum of positive squares in 3 ways, for example, as 105596176 + 812535025 = 10276^2 + 28505^2 .

It is not a de Polignac number, because 918131201 - 210 = 918130177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (918131261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2716196 + ... + 2716533.

It is an arithmetic number, because the mean of its divisors is an integer number (165698265).

Almost surely, 2918131201 is an apocalyptic number.

It is an amenable number.

918131201 is a deficient number, since it is larger than the sum of its proper divisors (76058389).

918131201 is a wasteful number, since it uses less digits than its factorization.

918131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432755 (or 5432742 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 918131201 is about 30300.6798768608. The cubic root of 918131201 is about 971.9298388648.

The spelling of 918131201 in words is "nine hundred eighteen million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 13 169 5432729 70625477 918131201