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1317044331 = 3223311671229
BaseRepresentation
bin100111010000000…
…1000000001101011
310101210020210011200
41032200020001223
510144130404311
6334404455243
744431456251
oct11640100153
93353223150
101317044331
11616489999
123090aa523
1317cb24c95
14c6cba5d1
157a95a556
hex4e80806b

1317044331 has 48 divisors (see below), whose sum is σ = 2063093760. Its totient is φ = 807238080.

The previous prime is 1317044327. The next prime is 1317044363. The reversal of 1317044331 is 1334407131.

It is not a de Polignac number, because 1317044331 - 22 = 1317044327 is a prime.

It is a super-2 number, since 2×13170443312 = 3469211539638475122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1317044295 and 1317044304.

It is not an unprimeable number, because it can be changed into a prime (1317044371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1071025 + ... + 1072253.

It is an arithmetic number, because the mean of its divisors is an integer number (42981120).

Almost surely, 21317044331 is an apocalyptic number.

1317044331 is a deficient number, since it is larger than the sum of its proper divisors (746049429).

1317044331 is a wasteful number, since it uses less digits than its factorization.

1317044331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1317044331 is about 36291.1053978795. The cubic root of 1317044331 is about 1096.1419474785.

The spelling of 1317044331 in words is "one billion, three hundred seventeen million, forty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 23 31 69 93 167 207 279 501 713 1229 1503 2139 3687 3841 5177 6417 11061 11523 15531 28267 34569 38099 46593 84801 114297 119071 205243 254403 342891 357213 615729 876277 1071639 1847187 2628831 4720589 6362533 7886493 14161767 19087599 42485301 57262797 146338259 439014777 1317044331