Search a number
-
+
10002022122202 = 211197310113723689
BaseRepresentation
bin1001000110001100011011…
…1110011100001011011010
31022102011222010012201000021
42101203012332130023122
52302333120130402302
633134510542101054
72051423301164305
oct221430676341332
938364863181007
1010002022122202
1132069198103a0
121156560b7a78a
13577257079c36
14268159905b3c
15125297725437
hex918c6f9c2da

10002022122202 has 128 divisors (see below), whose sum is σ = 17766772243200. Its totient is φ = 4175152128000.

The previous prime is 10002022122199. The next prime is 10002022122203. The reversal of 10002022122202 is 20222122020001.

10002022122202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10002022122203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422210374 + ... + 422234062.

It is an arithmetic number, because the mean of its divisors is an integer number (138802908150).

Almost surely, 210002022122202 is an apocalyptic number.

10002022122202 is a deficient number, since it is larger than the sum of its proper divisors (7764750120998).

10002022122202 is a wasteful number, since it uses less digits than its factorization.

10002022122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24032.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10002022122202 its reverse (20222122020001), we get a palindrome (30224144142203).

It can be divided in two parts, 100020 and 22122202, that added together give a palindrome (22222222).

The spelling of 10002022122202 in words is "ten trillion, two billion, twenty-two million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 11 19 22 38 73 101 137 146 202 209 274 418 803 1111 1387 1507 1606 1919 2222 2603 2774 3014 3838 5206 7373 10001 13837 14746 15257 20002 21109 23689 27674 28633 30514 42218 47378 57266 81103 110011 140087 152207 162206 190019 220022 260579 262903 280174 304414 380038 450091 521158 525806 900182 1010101 1540957 1729297 2020202 2090209 2392589 2891933 3081914 3245393 3458594 4180418 4785178 4951001 5783866 6490786 9902002 11111111 19022267 19191919 22222222 26318479 32856643 35699323 38044534 38383838 45459191 52636958 61662467 65713286 71398646 90918382 123324934 174658997 211111109 236913689 327784693 349317994 361423073 422222218 473827378 500051101 655569386 678287137 722846146 1000102202 1356574274 1921248967 2606050579 3318520943 3605631623 3842497934 4501360091 5212101158 6227909167 6637041886 7211263246 9002720182 12455818334 23928282589 36503730373 47856565178 49514961001 68507000837 73007460746 99029922002 137014001674 263211108479 454637369191 526422216958 909274738382 5001011061101 10002022122202