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900466131 = 35367181467
BaseRepresentation
bin110101101011000…
…000010111010011
32022202101102022110
4311223000113103
53321004404011
6225204040403
731212556455
oct6553002723
92282342273
10900466131
11422320594
12211693103
1311472a8c6
148783c2d5
15540beba6
hex35ac05d3

900466131 has 32 divisors (see below), whose sum is σ = 1251065088. Its totient is φ = 575752320.

The previous prime is 900466117. The next prime is 900466163. The reversal of 900466131 is 131664009.

900466131 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 900466131 - 211 = 900464083 is a prime.

It is a super-2 number, since 2×9004661312 = 1621678506156218322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900466111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1927960 + ... + 1928426.

It is an arithmetic number, because the mean of its divisors is an integer number (39095784).

Almost surely, 2900466131 is an apocalyptic number.

900466131 is a deficient number, since it is larger than the sum of its proper divisors (350598957).

900466131 is a wasteful number, since it uses less digits than its factorization.

900466131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 900466131 is about 30007.7678443432. The cubic root of 900466131 is about 965.6560389977.

The spelling of 900466131 in words is "nine hundred million, four hundred sixty-six thousand, one hundred thirty-one".

Divisors: 1 3 53 67 159 181 201 467 543 1401 3551 9593 10653 12127 24751 28779 31289 36381 74253 84527 93867 253581 642731 1658317 1928193 4479931 4974951 5663309 13439793 16989927 300155377 900466131