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10110022222122 = 234101895169031
BaseRepresentation
bin1001001100011110110001…
…0010001000000100101010
31022210111201211110020020000
42103013230102020010222
52311120311142101442
633300251411043430
72062265526660264
oct223075422100452
938714654406200
1010110022222122
1132486aaa81a19
121173481ba0576
135844a91360c4
1426d483258b34
15127eb8e79d4c
hex931ec48812a

10110022222122 has 80 divisors (see below), whose sum is σ = 22881122504064. Its totient is φ = 3336219900000.

The previous prime is 10110022222063. The next prime is 10110022222141. The reversal of 10110022222122 is 22122222001101.

It is a happy number.

10110022222122 is a `hidden beast` number, since 101 + 100 + 222 + 221 + 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 = 10110022222095 and 10110022222104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 146421747 + ... + 146490777.

Almost surely, 210110022222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110022222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11440561252032).

10110022222122 is an abundant number, since it is smaller than the sum of its proper divisors (12771100281942).

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

10110022222122 is a wasteful number, since it uses less digits than its factorization.

10110022222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78097 (or 78088 counting only the distinct ones).

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

Adding to 10110022222122 its reverse (22122222001101), we get a palindrome (32232244223223).

The spelling of 10110022222122 in words is "ten trillion, one hundred ten billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 5454 8181 8951 16362 17902 26853 53706 69031 80559 138062 161118 207093 241677 414186 483354 621279 725031 904051 1242558 1450062 1808102 1863837 2712153 3727674 5424306 5591511 6972131 8136459 11183022 13944262 16272918 20916393 24409377 41832786 48818754 62749179 73228131 125498358 146456262 188247537 376495074 564742611 617896481 1129485222 1235792962 1853689443 3707378886 5561068329 11122136658 16683204987 33366409974 50049614961 62407544581 100099229922 124815089162 187222633743 374445267486 561667901229 1123335802458 1685003703687 3370007407374 5055011111061 10110022222122