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312313331330 = 257111346636691
BaseRepresentation
bin1001000101101110101…
…00110011111010000010
31002212010122122001212122
410202313110303322002
520104104203100310
6355250314324242
731364262341450
oct4426724637202
91085118561778
10312313331330
111104a6808390
1250641129682
13235b2b7b190
141118a6039d0
1581cd6c3555
hex48b7533e82

312313331330 has 128 divisors (see below), whose sum is σ = 755068317696. Its totient is φ = 89823686400.

The previous prime is 312313331263. The next prime is 312313331333. The reversal of 312313331330 is 33133313213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 312313331330.

It is not an unprimeable number, because it can be changed into a prime (312313331333) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 46673285 + ... + 46679975.

It is an arithmetic number, because the mean of its divisors is an integer number (5898971232).

Almost surely, 2312313331330 is an apocalyptic number.

312313331330 is an abundant number, since it is smaller than the sum of its proper divisors (442754986366).

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

312313331330 is a wasteful number, since it uses less digits than its factorization.

312313331330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11392.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 312313331330 its reverse (33133313213), we get a palindrome (345446644543).

The spelling of 312313331330 in words is "three hundred twelve billion, three hundred thirteen million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 4663 5005 6691 9326 10010 13382 23315 32641 33455 46630 46837 51293 60619 65282 66910 73601 86983 93674 102586 121238 147202 163205 173966 234185 256465 303095 326410 359051 368005 424333 434915 468370 512930 515207 606190 608881 666809 718102 736010 848666 869830 956813 1030414 1217762 1333618 1795255 1913626 2121665 2576035 3044405 3334045 3590510 4243330 4667663 4784065 5152070 6088810 6668090 6697691 9335326 9568130 13395382 23338315 31200133 33488455 46676630 62400266 66976910 156000665 218400931 312001330 343201463 405601729 436801862 686402926 811203458 1092004655 1716007315 2028008645 2184009310 2402410241 2839212103 3432014630 4056017290 4461619019 4804820482 5678424206 8923238038 12012051205 14196060515 22308095095 24024102410 28392121030 31231333133 44616190190 62462666266 156156665665 312313331330