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313130130240330 = 2325132311636199563
BaseRepresentation
bin100011100110010100100101…
…0001011100111001101001010
31112001200221121011110020220100
41013030221022023213031022
5312020311001320142310
63025545555043310230
7122645622351160314
oct10714511213471512
91461627534406810
10313130130240330
1190855819264887
122b15287307b376
1310595076c35a30
14574781734a7b4
1526303774d3ec0
hex11cca4a2e734a

313130130240330 has 96 divisors (see below), whose sum is σ = 914884554519936. Its totient is φ = 73726960424832.

The previous prime is 313130130240329. The next prime is 313130130240359. The reversal of 313130130240330 is 33042031031313.

313130130240330 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 301 + 3 + 0 + 24 + 0 + 330 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313130130240294 and 313130130240303.

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, 5818072872 + ... + 5818126691.

It is an arithmetic number, because the mean of its divisors is an integer number (9530047442916).

Almost surely, 2313130130240330 is an apocalyptic number.

313130130240330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313130130240330 is an abundant number, since it is smaller than the sum of its proper divisors (601754424279606).

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

313130130240330 is a wasteful number, since it uses less digits than its factorization.

313130130240330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11636199612 (or 11636199609 counting only the distinct ones).

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

Adding to 313130130240330 its reverse (33042031031313), we get a palindrome (346172161271643).

The spelling of 313130130240330 in words is "three hundred thirteen trillion, one hundred thirty billion, one hundred thirty million, two hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 897 1035 1170 1495 1794 2070 2691 2990 4485 5382 8970 13455 26910 11636199563 23272399126 34908598689 58180997815 69817197378 104725796067 116361995630 151270594319 174542993445 209451592134 267632589949 302541188638 349085986890 453811782957 523628980335 535265179898 756352971595 802897769847 907623565914 1047257960670 1338162949745 1361435348871 1512705943190 1605795539694 2269058914785 2408693309541 2676325899490 2722870697742 3479223669337 4014488849235 4538117829570 4817386619082 6807176744355 6958447338674 8028977698470 10437671008011 12043466547705 13614353488710 17396118346685 20875342016022 24086933095410 31313013024033 34792236693370 52188355040055 62626026048066 104376710080110 156565065120165 313130130240330