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1313214331 = 112132149431
BaseRepresentation
bin100111001000110…
…0000111101111011
310101112001012101211
41032101200331323
510142140324311
6334150423551
744354065132
oct11621407573
93345035354
101313214331
11614303400
12307961bb7
1317c0b3900
14c65a0919
157a450821
hex4e460f7b

1313214331 has 36 divisors (see below), whose sum is σ = 1577167200. Its totient is φ = 1092062400.

The previous prime is 1313214307. The next prime is 1313214341. The reversal of 1313214331 is 1334123131.

It is not a de Polignac number, because 1313214331 - 25 = 1313214299 is a prime.

It is a super-2 number, since 2×13132143312 = 3449063758287555122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313214341) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3046686 + ... + 3047116.

It is an arithmetic number, because the mean of its divisors is an integer number (43810200).

Almost surely, 21313214331 is an apocalyptic number.

1313214331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313214331 is a deficient number, since it is larger than the sum of its proper divisors (263952869).

1313214331 is a wasteful number, since it uses less digits than its factorization.

1313214331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 604 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 1313214331 is about 36238.2992288545. The cubic root of 1313214331 is about 1095.0783791883.

Adding to 1313214331 its reverse (1334123131), we get a palindrome (2647337462).

The spelling of 1313214331 in words is "one billion, three hundred thirteen million, two hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 11 13 121 143 149 169 431 1573 1639 1859 1937 4741 5603 18029 20449 21307 25181 52151 61633 64219 72839 234377 276991 677963 706409 801229 834847 3046901 7770499 8813519 9183317 10853011 101016487 119383121 1313214331