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2002110112020 = 2235172385341437
BaseRepresentation
bin11101001000100111000…
…011111110000100010100
321002101210111101122111010
4131020213003332010110
5230300310142041040
64131431240012220
7264435104106114
oct35104703760424
97071714348433
102002110112020
117020a9a66217
12284032761070
13116a4b782a75
146cc8cc0d044
153712d390e80
hex1d2270fe114

2002110112020 has 96 divisors (see below), whose sum is σ = 6193740204288. Its totient is φ = 480642967552.

The previous prime is 2002110112007. The next prime is 2002110112021. The reversal of 2002110112020 is 202110112002.

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 = 2002110111987 and 2002110112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002110112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42647259 + ... + 42694178.

It is an arithmetic number, because the mean of its divisors is an integer number (64518127128).

Almost surely, 22002110112020 is an apocalyptic number.

2002110112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002110112020 is an abundant number, since it is smaller than the sum of its proper divisors (4191630092268).

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

2002110112020 is a wasteful number, since it uses less digits than its factorization.

2002110112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85341489 (or 85341487 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002110112020 its reverse (202110112002), we get a palindrome (2204220224022).

The spelling of 2002110112020 in words is "two trillion, two billion, one hundred ten million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 690 782 1020 1173 1380 1564 1955 2346 3910 4692 5865 7820 11730 23460 85341437 170682874 256024311 341365748 426707185 512048622 853414370 1024097244 1280121555 1450804429 1706828740 1962853051 2560243110 2901608858 3925706102 4352413287 5120486220 5803217716 5888559153 7254022145 7851412204 8704826574 9814265255 11777118306 14508044290 17409653148 19628530510 21762066435 23554236612 29016088580 29442795765 33368501867 39257061020 43524132870 58885591530 66737003734 87048265740 100105505601 117771183060 133474007468 166842509335 200211011202 333685018670 400422022404 500527528005 667370037340 1001055056010 2002110112020