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1313221323330 = 23457233086957
BaseRepresentation
bin10011000111000010000…
…101110010101001000010
311122112122122121021020000
4103013002011302221002
5133003434124321310
62443141402300430
7163606564033500
oct23070205625102
94575578537200
101313221323330
11466a30224094
121926171b7716
1396ab42aac97
14477bb487670
152425e9e44c0
hex131c2172a42

1313221323330 has 120 divisors (see below), whose sum is σ = 4107613487868. Its totient is φ = 300164864832.

The previous prime is 1313221323319. The next prime is 1313221323347. The reversal of 1313221323330 is 333231223131.

1313221323330 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 2 + 1 + 323 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1266171809049 + 47049514281 = 1125243^2 + 216909^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1313221323294 and 1313221323303.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16503789 + ... + 16583168.

Almost surely, 21313221323330 is an apocalyptic number.

1313221323330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313221323330 is an abundant number, since it is smaller than the sum of its proper divisors (2794392164538).

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

1313221323330 is a wasteful number, since it uses less digits than its factorization.

1313221323330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33086990 (or 33086974 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1313221323330 its reverse (333231223131), we get a palindrome (1646452546461).

The spelling of 1313221323330 in words is "one trillion, three hundred thirteen billion, two hundred twenty-one million, three hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 13230 19845 39690 33086957 66173914 99260871 165434785 198521742 231608699 297782613 330869570 463217398 496304355 595565226 694826097 893347839 992608710 1158043495 1389652194 1488913065 1621260893 1786695678 2084478291 2316086990 2680043517 2977826130 3242521786 3474130485 4168956582 4466739195 4863782679 5360087034 6253434873 6948260970 8106304465 8933478390 9727565358 10422391455 12506869746 13400217585 14591348037 16212608930 18760304619 20844782910 24318913395 26800435170 29182696074 31267174365 37520609238 43774044111 48637826790 62534348730 72956740185 87548088222 93801523095 131322132333 145913480370 187603046190 218870220555 262644264666 437740441110 656610661665 1313221323330