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1313023320 = 233257521041
BaseRepresentation
bin100111001000011…
…0010010101011000
310101111200111101100
41032100302111120
510142113221240
6334142351400
744352341220
oct11620622530
93344614340
101313023320
11614192944
1230788b560
1317c04799b
14c6551080
157a413e30
hex4e432558

1313023320 has 96 divisors (see below), whose sum is σ = 4876953120. Its totient is φ = 300119040.

The previous prime is 1313023301. The next prime is 1313023337. The reversal of 1313023320 is 233203131.

1313023320 is a `hidden beast` number, since 1 + 31 + 302 + 332 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1313023293 and 1313023302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258001 + ... + 263040.

It is an arithmetic number, because the mean of its divisors is an integer number (50801595).

Almost surely, 21313023320 is an apocalyptic number.

1313023320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313023320 is an abundant number, since it is smaller than the sum of its proper divisors (3563929800).

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

1313023320 is a wasteful number, since it uses less digits than its factorization.

1313023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521065 (or 521058 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1313023320 is about 36235.6636478484. The cubic root of 1313023320 is about 1095.0252824587.

Adding to 1313023320 its reverse (233203131), we get a palindrome (1546226451).

The spelling of 1313023320 in words is "one billion, three hundred thirteen million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 521041 1042082 1563123 2084164 2605205 3126246 3647287 4168328 4689369 5210410 6252492 7294574 7815615 9378738 10420820 10941861 12504984 14589148 15631230 18236435 18757476 20841640 21883722 23446845 29178296 31262460 32825583 36472870 37514952 43767444 46893690 54709305 62524920 65651166 72945740 87534888 93787380 109418610 131302332 145891480 164127915 187574760 218837220 262604664 328255830 437674440 656511660 1313023320