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2013110132220 = 2232511292429299
BaseRepresentation
bin11101010010110110101…
…101101101110111111100
321010110012002212120102200
4131102312231231313330
5230440322143212340
64140450544351500
7265304513534625
oct35226655556774
97113162776380
102013110132220
11706834208200
122861a2615590
13117ab26b6665
146d613ac6a4c
1537573e36330
hex1d4b6b6ddfc

2013110132220 has 108 divisors (see below), whose sum is σ = 6712030907400. Its totient is φ = 488026693440.

The previous prime is 2013110132219. The next prime is 2013110132221. The reversal of 2013110132220 is 222310113102.

2013110132220 is a `hidden beast` number, since 2 + 0 + 1 + 311 + 0 + 132 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (2013110132219) and next prime (2013110132221).

It is a super-2 number, since 2×20131101322202 (a number of 25 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 = 2013110132193 and 2013110132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013110132221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46192870 + ... + 46236429.

Almost surely, 22013110132220 is an apocalyptic number.

2013110132220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013110132220 is an abundant number, since it is smaller than the sum of its proper divisors (4698920775180).

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

2013110132220 is a wasteful number, since it uses less digits than its factorization.

2013110132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92429336 (or 92429320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2013110132220 its reverse (222310113102), we get a palindrome (2235420245322).

The spelling of 2013110132220 in words is "two trillion, thirteen billion, one hundred ten million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 92429299 184858598 277287897 369717196 462146495 554575794 831863691 924292990 1016722289 1109151588 1386439485 1663727382 1848585980 2033444578 2772878970 3050166867 3327454764 4066889156 4159318455 5083611445 5545757940 6100333734 8318636910 9150500601 10167222890 11183945179 12200667468 15250834335 16637273820 18301001202 20334445780 22367890358 30501668670 33551835537 36602002404 44735780716 45752503005 55919725895 61003337340 67103671074 91505006010 100655506611 111839451790 134207342148 167759177685 183010012020 201311013222 223678903580 335518355370 402622026444 503277533055 671036710740 1006555066110 2013110132220