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2013032022300 = 22325213172054019
BaseRepresentation
bin11101010010110010000…
…011110000000100011100
321010102222122220011202200
4131102302003300010130
5230440142144203200
64140435114251500
7265302544603125
oct35226203600434
97112878804680
102013032022300
117067a4108052
12286180426b90
13117a9c468680
146d60759304c
153756c157800
hex1d4b20f011c

2013032022300 has 108 divisors (see below), whose sum is σ = 6795101465880. Its totient is φ = 495515571840.

The previous prime is 2013032022263. The next prime is 2013032022311. The reversal of 2013032022300 is 32202303102.

It is a happy number.

2013032022300 is a `hidden beast` number, since 20 + 1 + 3 + 0 + 320 + 22 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86015310 + ... + 86038709.

Almost surely, 22013032022300 is an apocalyptic number.

2013032022300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013032022300 is an abundant number, since it is smaller than the sum of its proper divisors (4782069443580).

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

2013032022300 is a wasteful number, since it uses less digits than its factorization.

2013032022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172054052 (or 172054042 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2013032022300 its reverse (32202303102), we get a palindrome (2045234325402).

The spelling of 2013032022300 in words is "two trillion, thirteen billion, thirty-two million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 172054019 344108038 516162057 688216076 860270095 1032324114 1548486171 1720540190 2064648228 2236702247 2580810285 3096972342 3441080380 4301350475 4473404494 5161620570 6193944684 6710106741 7742430855 8602700950 8946808988 10323241140 11183511235 12904051425 13420213482 15484861710 17205401900 20130320223 22367022470 25808102850 26840426964 30969723420 33550533705 38712154275 40260640446 44734044940 51616205700 55917556175 67101067410 77424308550 80521280892 100651601115 111835112350 134202134820 154848617100 167752668525 201303202230 223670224700 335505337050 402606404460 503258005575 671010674100 1006516011150 2013032022300