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306216432316113 = 311195911383698753
BaseRepresentation
bin100010110100000001001000…
…1101011000010111011010001
31111011020000010200001222021020
41011220002101223002323101
5310114022223133103423
63003133515330550053
7121333256440353354
oct10550022153027321
91434200120058236
10306216432316113
118962a728aa6410
122a416967738329
13101b3116284847
145588d50c5229b
1525605d36aa4e3
hex1168091ac2ed1

306216432316113 has 128 divisors (see below), whose sum is σ = 481126563072000. Its totient is φ = 171268501340160.

The previous prime is 306216432316021. The next prime is 306216432316133. The reversal of 306216432316113 is 311613234612603.

It is not a de Polignac number, because 306216432316113 - 218 = 306216432053969 is a prime.

It is a super-2 number, since 2×3062164323161132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (306216432316133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34984164745 + ... + 34984173497.

It is an arithmetic number, because the mean of its divisors is an integer number (3758801274000).

Almost surely, 2306216432316113 is an apocalyptic number.

306216432316113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

306216432316113 is a deficient number, since it is larger than the sum of its proper divisors (174910130755887).

306216432316113 is a wasteful number, since it uses less digits than its factorization.

306216432316113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17327.

The product of its (nonzero) digits is 279936, while the sum is 42.

Adding to 306216432316113 its reverse (311613234612603), we get a palindrome (617829666928716).

The spelling of 306216432316113 in words is "three hundred six trillion, two hundred sixteen billion, four hundred thirty-two million, three hundred sixteen thousand, one hundred thirteen".

Divisors: 1 3 11 19 33 57 59 113 177 209 339 627 649 1121 1243 1947 2147 3363 3729 6441 6667 8369 8753 12331 20001 23617 25107 26259 36993 70851 73337 92059 96283 126673 159011 166307 220011 276177 288849 380019 477033 493771 498921 516427 945697 989089 1393403 1481313 1549281 1749121 1829377 2837091 2967267 4180209 5247363 5431481 5488131 5680697 9381649 9812113 10402667 10879979 16294443 17042091 17968243 18792691 28144947 29436339 31208001 32639937 53904729 55796123 56378073 58356251 73253857 103198139 107933243 167388369 175068753 197650673 206719601 219761571 309594417 323799729 592952019 613757353 620158803 641918761 805792427 1060126337 1108768769 1391823283 1841272059 1925756283 2417377281 3180379011 3326306307 4175469849 4321977563 8277685841 11661389707 12196456459 12965932689 15310056113 24833057523 34984169121 36589369377 45930168339 47541753193 82117573697 91054544251 142625259579 157276030979 246352721091 273163632753 471828092937 488383464619 903293310667 1465150393857 1730036340769 2709879932001 5190109022307 5372218110809 9279285827761 16116654332427 27837857483283 102072144105371 306216432316113