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4131100420 = 225644932029
BaseRepresentation
bin1111011000111011…
…1001011100000100
3101122220101122102021
43312032321130010
531430030203140
61521531452524
7204241526356
oct36616713404
911586348367
104131100420
11182a997987
129735b7144
1350ab34025
142b291d0d6
15192a1eb4a
hexf63b9704

4131100420 has 24 divisors (see below), whose sum is σ = 8676927000. Its totient is φ = 1652132352.

The previous prime is 4131100339. The next prime is 4131100459. The reversal of 4131100420 is 240011314.

It can be written as a sum of positive squares in 4 ways, for example, as 277422336 + 3853678084 = 16656^2 + 62078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4131100394 and 4131100403.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 112966 + ... + 144994.

It is an arithmetic number, because the mean of its divisors is an integer number (361538625).

Almost surely, 24131100420 is an apocalyptic number.

It is an amenable number.

4131100420 is an abundant number, since it is smaller than the sum of its proper divisors (4545826580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4131100420 is a wasteful number, since it uses less digits than its factorization.

4131100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38487 (or 38485 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4131100420 is about 64273.6370528384. The cubic root of 4131100420 is about 1604.5573738275.

Adding to 4131100420 its reverse (240011314), we get a palindrome (4371111734).

The spelling of 4131100420 in words is "four billion, one hundred thirty-one million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6449 12898 25796 32029 32245 64058 64490 128116 128980 160145 320290 640580 206555021 413110042 826220084 1032775105 2065550210 4131100420