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211102010222022 = 2351093472384143
BaseRepresentation
bin101111111111111100000100…
…010101001010010111000110
31000200110011012001111221100000
4233333330010111022113012
5210132143404104101042
62024550531422102130
762315421415214223
oct5777740425122706
91020404161457300
10211102010222022
1161299950396977
121b814b9811a946
1390a3aac80864a
143a1b56b1b694a
1519613ab1b474c
hexbfff0454a5c6

211102010222022 has 96 divisors (see below), whose sum is σ = 474868107237888. Its totient is φ = 70287236169696.

The previous prime is 211102010222021. The next prime is 211102010222053. The reversal of 211102010222022 is 220222010201112.

It is a happy number.

211102010222022 is a `hidden beast` number, since 211 + 10 + 201 + 0 + 2 + 220 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211102010221986 and 211102010222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102010222021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2508806083 + ... + 2508890225.

It is an arithmetic number, because the mean of its divisors is an integer number (4946542783728).

Almost surely, 2211102010222022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211102010222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237434053618944).

211102010222022 is an abundant number, since it is smaller than the sum of its proper divisors (263766097015866).

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

211102010222022 is a wasteful number, since it uses less digits than its factorization.

211102010222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89976 (or 89964 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211102010222022 its reverse (220222010201112), we get a palindrome (431324020423134).

The spelling of 211102010222022 in words is "two hundred eleven trillion, one hundred two billion, ten million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1093 2186 3279 4723 6558 9446 9837 14169 19674 28338 29511 42507 59022 84143 85014 88533 127521 168286 177066 252429 255042 265599 382563 504858 531198 757287 765126 1147689 1514574 2271861 2295378 4543722 5162239 6815583 10324478 13631166 15486717 20446749 30973434 40893498 46460151 91968299 92920302 139380453 183936598 275904897 278760906 397407389 418141359 551809794 794814778 827714691 836282718 1192222167 1254424077 1655429382 2384444334 2483144073 2508848154 3576666501 4966288146 7153333002 7449432219 10729999503 14898864438 21459999006 22348296657 32189998509 44696593314 64379997018 96569995527 193139991054 434366276177 868732552354 1303098828531 2606197657062 3909296485593 7818592971186 11727889456779 23455778913558 35183668370337 70367336740674 105551005111011 211102010222022