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313142424001330 = 257117193181177811
BaseRepresentation
bin100011100110011010010011…
…0111100100101101100110010
31112001202010022221100000120211
41013030310212330211230302
5312021011141021020310
63025555351005254334
7122646536120340160
oct10714644674455462
91461663287300524
10313142424001330
119085aa57819440
122b1551242643aa
1310596285bc2621
145748261d96230
15263084692ec8a
hex11ccd26f25b32

313142424001330 has 128 divisors (see below), whose sum is σ = 703942970941440. Its totient is φ = 97435897056000.

The previous prime is 313142424001261. The next prime is 313142424001409. The reversal of 313142424001330 is 33100424241313.

It is a junction number, because it is equal to n+sod(n) for n = 313142424001292 and 313142424001301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1761008125 + ... + 1761185935.

It is an arithmetic number, because the mean of its divisors is an integer number (5499554460480).

Almost surely, 2313142424001330 is an apocalyptic number.

313142424001330 is an abundant number, since it is smaller than the sum of its proper divisors (390800546940110).

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

313142424001330 is a wasteful number, since it uses less digits than its factorization.

313142424001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181736.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 313142424001330 its reverse (33100424241313), we get a palindrome (346242848242643).

The spelling of 313142424001330 in words is "three hundred thirteen trillion, one hundred forty-two billion, four hundred twenty-four million, one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 719 770 1438 3181 3595 5033 6362 7190 7909 10066 15818 15905 22267 25165 31810 34991 39545 44534 50330 55363 69982 79090 110726 111335 174955 177811 222670 244937 276815 349910 355622 489874 553630 889055 1224685 1244677 1778110 1955921 2287139 2449370 2489354 3911842 4574278 6223385 9779605 11435695 12446770 13691447 16009973 19559210 22871390 25158529 27382894 32019946 50317058 68457235 80049865 125792645 127846109 136914470 160099730 176109703 251585290 255692218 352219406 565616791 639230545 880548515 894922763 1131233582 1278461090 1406307199 1761097030 1789845526 2812614398 2828083955 3959317537 4474613815 5656167910 6221784701 7031535995 7918635074 8949227630 9844150393 12443569402 14063071990 19688300786 19796587685 31108923505 39593175370 43552492907 49220751965 62217847010 87104985814 98441503930 217762464535 406678472729 435524929070 813356945458 2033392363645 2846749309103 4066784727290 4473463200019 5693498618206 8946926400038 14233746545515 22367316000095 28467493091030 31314242400133 44734632000190 62628484800266 156571212000665 313142424001330