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3121430331 = 331137409599
BaseRepresentation
bin1011101000001101…
…0011111100111011
322001112112002102210
42322003103330323
522343041232311
61233423030203
7140231501655
oct27203237473
98045462383
103121430331
111361a69898
1273143b363
133a98bc4c6
142187b56d5
1513407d3a6
hexba0d3f3b

3121430331 has 32 divisors (see below), whose sum is σ = 4345344000. Its totient is φ = 1990909440.

The previous prime is 3121430321. The next prime is 3121430357. The reversal of 3121430331 is 1330341213.

It is not a de Polignac number, because 3121430331 - 26 = 3121430267 is a prime.

It is a super-2 number, since 2×31214303312 = 19486654622573539122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3121430298 and 3121430307.

It is not an unprimeable number, because it can be changed into a prime (3121430311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5210770 + ... + 5211368.

It is an arithmetic number, because the mean of its divisors is an integer number (135792000).

Almost surely, 23121430331 is an apocalyptic number.

3121430331 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3121430331 is a deficient number, since it is larger than the sum of its proper divisors (1223913669).

3121430331 is a wasteful number, since it uses less digits than its factorization.

3121430331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3121430331 is about 55869.7622243016. The cubic root of 3121430331 is about 1461.4519756485.

Adding to 3121430331 its reverse (1330341213), we get a palindrome (4451771544).

The spelling of 3121430331 in words is "three billion, one hundred twenty-one million, four hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 31 93 137 409 411 599 1227 1797 4247 12679 12741 18569 38037 55707 56033 82063 168099 244991 246189 734973 1737023 2543953 5211069 7594721 7631859 22784163 33563767 100691301 1040476777 3121430331