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2010000231120 = 243572170918387
BaseRepresentation
bin11101001111111101010…
…110011000101011010000
321010011011101001020010110
4131033331112120223100
5230412440024343440
64135214212401320
7265134452031600
oct35177526305320
97104141036113
102010000231120
11705488803502
12285675016240
13117708302aab
146d3daa72c00
1537440dd4080
hex1d3fd598ad0

2010000231120 has 120 divisors (see below), whose sum is σ = 7248306998304. Its totient is φ = 459428621568.

The previous prime is 2010000231101. The next prime is 2010000231143. The reversal of 2010000231120 is 211320000102.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 2010000231096 and 2010000231105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85447434 + ... + 85470953.

Almost surely, 22010000231120 is an apocalyptic number.

2010000231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010000231120 is an abundant number, since it is smaller than the sum of its proper divisors (5238306767184).

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

2010000231120 is a wasteful number, since it uses less digits than its factorization.

2010000231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170918417 (or 170918404 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2010000231120 its reverse (211320000102), we get a palindrome (2221320231222).

The spelling of 2010000231120 in words is "two trillion, ten billion, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 170918387 341836774 512755161 683673548 854591935 1025510322 1196428709 1367347096 1709183870 2051020644 2392857418 2563775805 2734694192 3418367740 3589286127 4102041288 4785714836 5127551610 5982143545 6836735480 7178572254 8204082576 8375000963 9571429672 10255103220 11964287090 13673470960 14357144508 16750001926 17946430635 19142859344 20510206440 23928574180 25125002889 28714289016 33500003852 35892861270 41020412880 41875004815 47857148360 50250005778 57428578032 67000007704 71785722540 83750009630 95714296720 100500011556 125625014445 134000015408 143571445080 167500019260 201000023112 251250028890 287142890160 335000038520 402000046224 502500057780 670000077040 1005000115560 2010000231120