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311430012024420 = 2232511122391555571
BaseRepresentation
bin100011011001111100111001…
…1001111010011011001100100
31111211200102022000002102221100
41012303321303033103121210
5311304432131034240140
63022204550013520100
7122412035006604042
oct10663716317233144
91454612260072840
10311430012024420
119025a7a99079a3
122ab19280aa3030
13104a0954b7c423
1456c9416029392
152601021613530
hex11b3e733d3664

311430012024420 has 72 divisors (see below), whose sum is σ = 944672493098880. Its totient is φ = 83047875151680.

The previous prime is 311430012024413. The next prime is 311430012024451. The reversal of 311430012024420 is 24420210034113.

311430012024420 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 30 + 0 + 1 + 202 + 4 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199425235 + ... + 200980805.

It is an arithmetic number, because the mean of its divisors is an integer number (13120451293040).

Almost surely, 2311430012024420 is an apocalyptic number.

311430012024420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311430012024420 is an abundant number, since it is smaller than the sum of its proper divisors (633242481074460).

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

311430012024420 is a wasteful number, since it uses less digits than its factorization.

311430012024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667825 (or 2667820 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 311430012024420 its reverse (24420210034113), we get a palindrome (335850222058533).

The spelling of 311430012024420 in words is "three hundred eleven trillion, four hundred thirty billion, twelve million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1112239 1555571 2224478 3111142 3336717 4448956 4666713 5561195 6222284 6673434 7777855 9333426 10010151 11122390 13346868 14000139 15555710 16683585 18666852 20020302 22244780 23333565 28000278 31111420 33367170 40040604 46667130 50050755 56000556 66734340 70000695 93334260 100101510 140001390 200203020 280002780 1730166733469 3460333466938 5190500200407 6920666933876 8650833667345 10381000400814 15571500601221 17301667334690 20762000801628 25952501002035 31143001202442 34603334669380 51905002004070 62286002404884 77857503006105 103810004008140 155715006012210 311430012024420