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1313031330 = 233513374083
BaseRepresentation
bin100111001000011…
…0100010010100010
310101111200220101000
41032100310102202
510142114000310
6334142452430
744352403452
oct11620642242
93344626330
101313031330
11614198966
12307894116
1317c04b520
14c6553d62
157a4164c0
hex4e4344a2

1313031330 has 64 divisors (see below), whose sum is σ = 3770766720. Its totient is φ = 323206848.

The previous prime is 1313031287. The next prime is 1313031367. The reversal of 1313031330 is 331303131.

1313031330 is a `hidden beast` number, since 1 + 31 + 303 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183532 + ... + 190551.

It is an arithmetic number, because the mean of its divisors is an integer number (58918230).

Almost surely, 21313031330 is an apocalyptic number.

1313031330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313031330 is an abundant number, since it is smaller than the sum of its proper divisors (2457735390).

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

1313031330 is a wasteful number, since it uses less digits than its factorization.

1313031330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374112 (or 374106 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1313031330 is about 36235.7741741501. The cubic root of 1313031330 is about 1095.0275091606.

Adding to 1313031330 its reverse (331303131), we get a palindrome (1644334461).

The spelling of 1313031330 in words is "one billion, three hundred thirteen million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 374083 748166 1122249 1870415 2244498 3366747 3740830 4863079 5611245 6733494 9726158 10100241 11222490 14589237 16833735 20200482 24315395 29178474 33667470 43767711 48630790 50501205 72946185 87535422 101002410 131303133 145892370 218838555 262606266 437677110 656515665 1313031330