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2002101122220 = 2235792851148153
BaseRepresentation
bin11101001000100110100…
…001101011010010101100
321002101202212110220210120
4131020212201223102230
5230300300341402340
64131430315204540
7264434634514563
oct35104641532254
97071685426716
102002101122220
117020a4986031
1228402b746750
13116a49955c64
146cc8b94cbda
153712c6b74d0
hex1d22686b4ac

2002101122220 has 96 divisors (see below), whose sum is σ = 5678873195520. Its totient is φ = 526947033600.

The previous prime is 2002101122129. The next prime is 2002101122251. The reversal of 2002101122220 is 222211012002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002101122220.

It is an unprimeable number.

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, 13439664 + ... + 13587816.

It is an arithmetic number, because the mean of its divisors is an integer number (59154929120).

Almost surely, 22002101122220 is an apocalyptic number.

2002101122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002101122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839436597760).

2002101122220 is an abundant number, since it is smaller than the sum of its proper divisors (3676772073300).

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

2002101122220 is a wasteful number, since it uses less digits than its factorization.

2002101122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151095 (or 151093 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2002101122220 its reverse (222211012002), we get a palindrome (2224312134222).

The spelling of 2002101122220 in words is "two trillion, two billion, one hundred one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 2851 4740 5702 8553 11404 14255 17106 28510 34212 42765 57020 85530 148153 171060 225229 296306 444459 450458 592612 675687 740765 888918 900916 1126145 1351374 1481530 1777836 2222295 2252290 2702748 2963060 3378435 4444590 4504580 6756870 8889180 11704087 13513740 23408174 35112261 46816348 58520435 70224522 117040870 140449044 175561305 234081740 351122610 422384203 702245220 844768406 1267152609 1689536812 2111921015 2534305218 4223842030 5068610436 6335763045 8447684060 12671526090 25343052180 33368352037 66736704074 100105056111 133473408148 166841760185 200210112222 333683520370 400420224444 500525280555 667367040740 1001050561110 2002101122220