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2013220203120 = 243257399448453
BaseRepresentation
bin11101010010111101010…
…001100110101001110000
321010110110202222202022200
4131102331101212221300
5230441033332444440
64140505515503200
7265310321243220
oct35227521465160
97113422882280
102013220203120
11706890358095
12286213457b00
13117acc445079
146d62457a080
153757d929c30
hex1d4bd466a70

2013220203120 has 120 divisors (see below), whose sum is σ = 7726930894176. Its totient is φ = 460164616704.

The previous prime is 2013220203119. The next prime is 2013220203143. The reversal of 2013220203120 is 213020223102.

2013220203120 is a `hidden beast` number, since 20 + 1 + 322 + 0 + 203 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2013220203093 and 2013220203102.

It is a congruent number.

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, 199719187 + ... + 199729266.

Almost surely, 22013220203120 is an apocalyptic number.

2013220203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013220203120 is an abundant number, since it is smaller than the sum of its proper divisors (5713710691056).

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

2013220203120 is a wasteful number, since it uses less digits than its factorization.

2013220203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399448479 (or 399448470 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2013220203120 its reverse (213020223102), we get a palindrome (2226240426222).

The spelling of 2013220203120 in words is "two trillion, thirteen billion, two hundred twenty million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 399448453 798896906 1198345359 1597793812 1997242265 2396690718 2796139171 3195587624 3595036077 3994484530 4793381436 5592278342 5991726795 6391175248 7190072154 7988969060 8388417513 9586762872 11184556684 11983453590 13980695855 14380144308 15977938120 16776835026 17975180385 19173525744 22369113368 23966907180 25165252539 27961391710 28760288616 31955876240 33553670052 35950360770 41942087565 44738226736 47933814360 50330505078 55922783420 57520577232 67107340104 71900721540 83884175130 95867628720 100661010156 111845566840 125826262695 134214680208 143801443080 167768350260 201322020312 223691133680 251652525390 287602886160 335536700520 402644040624 503305050780 671073401040 1006610101560 2013220203120