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1313103240 = 233257946171
BaseRepresentation
bin100111001000100…
…0101110110001000
310101111211120000100
41032101011312020
510142123300430
6334144205400
744353123221
oct11621056610
93344746010
101313103240
11614237999
12307909860
1317c075187
14c6572248
157a42c960
hex4e445d88

1313103240 has 96 divisors (see below), whose sum is σ = 4321699200. Its totient is φ = 345720960.

The previous prime is 1313103227. The next prime is 1313103247. The reversal of 1313103240 is 423013131.

1313103240 is a `hidden beast` number, since 1 + 31 + 310 + 324 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1313103247) by changing a digit.

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, 5355 + ... + 51525.

It is an arithmetic number, because the mean of its divisors is an integer number (45017700).

Almost surely, 21313103240 is an apocalyptic number.

1313103240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160849600).

1313103240 is an abundant number, since it is smaller than the sum of its proper divisors (3008595960).

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

1313103240 is a wasteful number, since it uses less digits than its factorization.

1313103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46267 (or 46260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1313103240 is about 36236.7664120296. The cubic root of 1313103240 is about 1095.0474990342.

Adding to 1313103240 its reverse (423013131), we get a palindrome (1736116371).

The spelling of 1313103240 in words is "one billion, three hundred thirteen million, one hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5688 7110 9480 14220 28440 46171 92342 138513 184684 230855 277026 369368 415539 461710 554052 692565 831078 923420 1108104 1385130 1662156 1846840 2077695 2770260 3324312 3647509 4155390 5540520 7295018 8310780 10942527 14590036 16621560 18237545 21885054 29180072 32827581 36475090 43770108 54712635 65655162 72950180 87540216 109425270 131310324 145900360 164137905 218850540 262620648 328275810 437701080 656551620 1313103240