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4162101431 = 2926181131
BaseRepresentation
bin1111100000010100…
…1010000010110111
3101202001201122210212
43320011022002313
532010444221211
61525000140035
7205066164335
oct37005120267
911661648725
104162101431
111846441454
12981a6761b
13514399817
142b6aacb55
151955e538b
hexf814a0b7

4162101431 has 12 divisors (see below), whose sum is σ = 4381290264. Its totient is φ = 3952653600.

The previous prime is 4162101409. The next prime is 4162101457. The reversal of 4162101431 is 1341012614.

It is not a de Polignac number, because 4162101431 - 210 = 4162100407 is a prime.

It is a super-2 number, since 2×41621014312 = 34646176643864495522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4162101397 and 4162101406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4162101481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10736 + ... + 91866.

It is an arithmetic number, because the mean of its divisors is an integer number (365107522).

Almost surely, 24162101431 is an apocalyptic number.

4162101431 is a deficient number, since it is larger than the sum of its proper divisors (219188833).

4162101431 is an equidigital number, since it uses as much as digits as its factorization.

4162101431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81250 (or 81221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 4162101431 is about 64514.3505818667. The cubic root of 4162101431 is about 1608.5610680327.

The spelling of 4162101431 in words is "four billion, one hundred sixty-two million, one hundred one thousand, four hundred thirty-one".

Divisors: 1 29 61 841 1769 51301 81131 2352799 4948991 68231171 143520739 4162101431