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13012342401330 = 2325863660725357
BaseRepresentation
bin1011110101011010110000…
…0010111110100100110010
31201001222010111220110221200
42331112230002332210302
53201143234123320310
643401442041032030
72512052655313626
oct275265402764462
951058114813850
1013012342401330
11416755a066578
121561a67185616
1373509ba4557c
1432db2d2d3186
15178732ede9c0
hexbd5ac0be932

13012342401330 has 96 divisors (see below), whose sum is σ = 33877755684864. Its totient is φ = 3465275914368.

The previous prime is 13012342401263. The next prime is 13012342401343. The reversal of 13012342401330 is 3310424321031.

It is a happy number.

13012342401330 is a `hidden beast` number, since 1 + 301 + 2 + 3 + 4 + 24 + 0 + 1 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13012342401294 and 13012342401303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513153012 + ... + 513178368.

It is an arithmetic number, because the mean of its divisors is an integer number (352893288384).

Almost surely, 213012342401330 is an apocalyptic number.

13012342401330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13012342401330 is an abundant number, since it is smaller than the sum of its proper divisors (20865413283534).

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

13012342401330 is a wasteful number, since it uses less digits than its factorization.

13012342401330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32840 (or 32837 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13012342401330 its reverse (3310424321031), we get a palindrome (16322766722361).

The spelling of 13012342401330 in words is "thirteen trillion, twelve billion, three hundred forty-two million, four hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 863 1726 2589 4315 5178 6607 7767 8630 12945 13214 15534 19821 25357 25890 33035 38835 39642 50714 59463 66070 76071 77670 99105 118926 126785 152142 198210 228213 253570 297315 380355 456426 594630 760710 1141065 2282130 5701841 11403682 17105523 21883091 28509205 34211046 43766182 51316569 57018410 65649273 85527615 102633138 109415455 131298546 167533699 171055230 196947819 218830910 256582845 328246365 335067398 393895638 502601097 513165690 656492730 837668495 984739095 1005202194 1507803291 1675336990 1969478190 2513005485 3015606582 5026010970 7539016455 15078032910 144581582237 289163164474 433744746711 722907911185 867489493422 1301234240133 1445815822370 2168723733555 2602468480266 4337447467110 6506171200665 13012342401330