Search a number
-
+
222000021122110 = 257111016914131073
BaseRepresentation
bin110010011110100001101000…
…011001100010110000111110
31002010000222212011200112021121
4302132201220121202300332
5213044222020401401420
62104053222441221154
764521654322356130
oct6236415031426076
91063028764615247
10222000021122110
1164810753438560
1220a95111a917ba
1396b46872c106a
143cb6c0346d050
151a9eae3bc62aa
hexc9e868662c3e

222000021122110 has 128 divisors (see below), whose sum is σ = 503863592629248. Its totient is φ = 68410552320000.

The previous prime is 222000021122107. The next prime is 222000021122119. The reversal of 222000021122110 is 11221120000222.

It is a happy number.

It is a super-3 number, since 3×2220000211221103 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222000021122119) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 51673534 + ... + 55804606.

It is an arithmetic number, because the mean of its divisors is an integer number (3936434317416).

Almost surely, 2222000021122110 is an apocalyptic number.

222000021122110 is an abundant number, since it is smaller than the sum of its proper divisors (281863571507138).

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

222000021122110 is a wasteful number, since it uses less digits than its factorization.

222000021122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131890.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222000021122110 its reverse (11221120000222), we get a palindrome (233221141122332).

The spelling of 222000021122110 in words is "two hundred twenty-two trillion, twenty-one million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 101 110 154 202 385 505 691 707 770 1010 1111 1382 1414 2222 3455 3535 4837 5555 6910 7070 7601 7777 9674 11110 15202 15554 24185 38005 38885 48370 53207 69791 76010 77770 106414 139582 266035 348955 488537 532070 697910 767701 977074 1535402 2442685 3838505 4131073 4885370 5373907 7677010 8262146 10747814 20655365 26869535 28917511 41310730 45441803 53739070 57835022 90883606 144587555 227209015 289175110 318092621 417238373 454418030 636185242 834476746 1590463105 2086191865 2854571443 2920668611 3180926210 4172383730 4589622103 5709142886 5841337222 9179244206 14272857215 14603343055 19982000101 22948110515 28545714430 29206686110 31400285873 32127354721 39964000202 45896221030 62800571746 64254709442 99910000505 157001429365 160636773605 199820001010 219802001111 288311715743 314002858730 321273547210 439604002222 576623431486 1099010005555 1441558578715 2018182010201 2198020011110 2883117157430 3171428873173 4036364020402 6342857746346 10090910051005 15857144365865 20181820102010 22200002112211 31714288731730 44400004224422 111000010561055 222000021122110