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3113103110220 = 22325233623207551
BaseRepresentation
bin101101010011010011011…
…001111011000001001100
3102000121110111201120210100
4231103103121323001030
5402001113344011340
610342050111411100
7440625411555105
oct55232331730114
912017414646710
103113103110220
11aa0294602494
1242340bb23a90
13197744ba36ac
14aa9642833ac
1555ea3e9b830
hex2d4d367b04c

3113103110220 has 144 divisors (see below), whose sum is σ = 9856415342592. Its totient is φ = 793843881600.

The previous prime is 3113103110179. The next prime is 3113103110269. The reversal of 3113103110220 is 220113013113.

3113103110220 is a `hidden beast` number, since 3 + 1 + 131 + 0 + 311 + 0 + 220 = 666.

3113103110220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31131031102202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3113103110193 and 3113103110202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14895445 + ... + 15102995.

It is an arithmetic number, because the mean of its divisors is an integer number (68447328768).

Almost surely, 23113103110220 is an apocalyptic number.

3113103110220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113103110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928207671296).

3113103110220 is an abundant number, since it is smaller than the sum of its proper divisors (6743312232372).

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

3113103110220 is a wasteful number, since it uses less digits than its factorization.

3113103110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211212 (or 211207 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3113103110220 its reverse (220113013113), we get a palindrome (3333216123333).

The spelling of 3113103110220 in words is "three trillion, one hundred thirteen billion, one hundred three million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 3623 4140 7246 10869 14492 18115 21738 32607 36230 43476 54345 65214 72460 83329 108690 130428 163035 166658 207551 217380 249987 326070 333316 415102 416645 499974 622653 652140 749961 830204 833290 999948 1037755 1245306 1249935 1499922 1666580 1867959 2075510 2490612 2499870 2999844 3113265 3735918 3749805 4151020 4773673 4999740 6226530 7471836 7499610 9339795 9547346 12453060 14321019 14999220 18679590 19094692 23868365 28642038 37359180 42963057 47736730 57284076 71605095 85926114 95473460 143210190 171852228 214815285 286420380 429630570 751957273 859261140 1503914546 2255871819 3007829092 3759786365 4511743638 6767615457 7519572730 9023487276 11279359095 13535230914 15039145460 17295017279 22558718190 27070461828 33838077285 34590034558 45117436380 51885051837 67676154570 69180069116 86475086395 103770103674 135352309140 155655155511 172950172790 207540207348 259425259185 311310311022 345900345580 518850518370 622620622044 778275777555 1037701036740 1556551555110 3113103110220