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13312310400342 = 2331693495129411
BaseRepresentation
bin1100000110111000001110…
…0010000101010101010110
31202010122101210121200121000
43001232003202011111112
53221102102430302332
644151331352204130
72542532314245042
oct301560342052526
952118353550530
1013312310400342
1142727a0195a78
1215b0021999646
1375746504b485
143404680a5022
1518143c97bb7c
hexc1b83885556

13312310400342 has 64 divisors (see below), whose sum is σ = 29607370974720. Its totient is φ = 4433769252000.

The previous prime is 13312310400317. The next prime is 13312310400359. The reversal of 13312310400342 is 24300401321331.

It is a happy number.

13312310400342 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 310 + 4 + 0 + 0 + 342 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452615617 + ... + 452645027.

It is an arithmetic number, because the mean of its divisors is an integer number (462615171480).

Almost surely, 213312310400342 is an apocalyptic number.

13312310400342 is an abundant number, since it is smaller than the sum of its proper divisors (16295060574378).

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

13312310400342 is a wasteful number, since it uses less digits than its factorization.

13312310400342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36066 (or 36060 counting only the distinct ones).

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

Adding to 13312310400342 its reverse (24300401321331), we get a palindrome (37612711721673).

The spelling of 13312310400342 in words is "thirteen trillion, three hundred twelve billion, three hundred ten million, four hundred thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 1693 3386 4951 5079 9902 10158 14853 15237 29411 29706 30474 44559 45711 58822 88233 89118 91422 133677 176466 264699 267354 529398 794097 1588194 8382043 16764086 25146129 49792823 50292258 75438387 99585646 145613861 149378469 150876774 226315161 291227722 298756938 436841583 448135407 452630322 873683166 896270814 1310524749 1344406221 2621049498 2688812442 3931574247 7863148494 246524266673 493048533346 739572800019 1479145600038 2218718400057 4437436800114 6656155200171 13312310400342