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10022021022222 = 23311175031973113
BaseRepresentation
bin1001000111010110111100…
…0000001100001000001110
31022111002120212200002101000
42101311233000030020032
52303200044340202342
633152015232001130
72053032011060256
oct221655700141016
938432525602330
1010022021022222
113214351658a40
12115a4026901a6
135790c345aca1
142690d59c2966
15125a6832544c
hex91d6f00c20e

10022021022222 has 128 divisors (see below), whose sum is σ = 25776129899520. Its totient is φ = 2852646405120.

The previous prime is 10022021022203. The next prime is 10022021022263. The reversal of 10022021022222 is 22222012022001.

10022021022222 is a `hidden beast` number, since 10 + 0 + 220 + 210 + 2 + 2 + 222 = 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 = 10022021022195 and 10022021022204.

It is a congruent number.

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, 4092738 + ... + 6065850.

It is an arithmetic number, because the mean of its divisors is an integer number (201376014840).

Almost surely, 210022021022222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022021022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888064949760).

10022021022222 is an abundant number, since it is smaller than the sum of its proper divisors (15754108877298).

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

10022021022222 is a wasteful number, since it uses less digits than its factorization.

10022021022222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973655 (or 1973649 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10022021022222 its reverse (22222012022001), we get a palindrome (32244033044223).

The spelling of 10022021022222 in words is "ten trillion, twenty-two billion, twenty-one million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 503 561 594 918 1006 1122 1509 1683 3018 3366 4527 5049 5533 8551 9054 10098 11066 13581 16599 17102 25653 27162 33198 49797 51306 76959 94061 99594 149391 153918 188122 230877 282183 298782 461754 564366 846549 1693098 1973113 2539647 3946226 5079294 5919339 11838678 17758017 21704243 33542921 35516034 43408486 53274051 65112729 67085842 100628763 106548102 130225458 195338187 201257526 301886289 368972131 390676374 586014561 603772578 737944262 905658867 992475839 1106916393 1172029122 1811317734 1984951678 2213832786 2977427517 3320749179 5954855034 6641498358 8932282551 9962247537 10917234229 16872089263 17864565102 19924495074 21834468458 26796847653 32751702687 33744178526 50616267789 53593695306 65503405374 98255108061 101232535578 151848803367 185592981893 196510216122 294765324183 303697606734 371185963786 455546410101 556778945679 589530648366 911092820202 1113557891358 1670336837037 3340673674074 5011010511111 10022021022222