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2002121120010 = 23511191791783897
BaseRepresentation
bin11101001000100111101…
…101111101100100001010
321002101211021002220121110
4131020213231331210022
5230300321001320020
64131432311551150
7264435266504304
oct35104755754412
97071737086543
102002121120010
117021051a4730
1228403638b4b6
13116a50b3837b
146cc90476974
153712e3178e0
hex1d227b7d90a

2002121120010 has 128 divisors (see below), whose sum is σ = 5548636339200. Its totient is φ = 457248222720.

The previous prime is 2002121120009. The next prime is 2002121120101. The reversal of 2002121120010 is 100211212002.

It is a super-3 number, since 3×20021211200103 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230382 + ... + 2014278.

It is an arithmetic number, because the mean of its divisors is an integer number (43348721400).

Almost surely, 22002121120010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002121120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774318169600).

2002121120010 is an abundant number, since it is smaller than the sum of its proper divisors (3546515219190).

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

2002121120010 is a wasteful number, since it uses less digits than its factorization.

2002121120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784116.

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

Adding to 2002121120010 its reverse (100211212002), we get a palindrome (2102332332012).

The spelling of 2002121120010 in words is "two trillion, two billion, one hundred twenty-one million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 179 190 209 285 330 358 418 537 570 627 895 1045 1074 1254 1790 1969 2090 2685 3135 3401 3938 5370 5907 6270 6802 9845 10203 11814 17005 19690 20406 29535 34010 37411 51015 59070 74822 102030 112233 187055 224466 374110 561165 1122330 1783897 3567794 5351691 8919485 10703382 17838970 19622867 26758455 33894043 39245734 53516910 58868601 67788086 98114335 101682129 117737202 169470215 196228670 203364258 294343005 319317563 338940430 372834473 508410645 588686010 638635126 745668946 957952689 1016821290 1118503419 1596587815 1864172365 1915905378 2237006838 3193175630 3512493193 3728344730 4789763445 5592517095 6067033697 7024986386 9579526890 10537479579 11185034190 12134067394 17562465965 18201101091 21074959158 30335168485 35124931930 36402202182 52687397895 60670336970 66737370667 91005505455 105374795790 133474741334 182011010910 200212112001 333686853335 400424224002 667373706670 1001060560005 2002121120010