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100112120112222 = 232378310117931349
BaseRepresentation
bin10110110000110100101011…
…010110110110010001011110
3111010110121212210002100212200
4112300310223112312101132
5101110214110222042342
6552530512325512330
730041601443314011
oct2660645326662136
9433417783070780
10100112120112222
1129998347981a49
12b28a4965726a6
1343b26bc95320a
141aa16497d9378
15b8922caa394c
hex5b0d2b5b645e

100112120112222 has 96 divisors (see below), whose sum is σ = 227688265677600. Its totient is φ = 31760003577600.

The previous prime is 100112120112211. The next prime is 100112120112229. The reversal of 100112120112222 is 222211021211001.

100112120112222 is a `hidden beast` number, since 100 + 112 + 120 + 112 + 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 = 100112120112195 and 100112120112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112120112229) 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, 3382597 + ... + 14548752.

It is an arithmetic number, because the mean of its divisors is an integer number (2371752767475).

Almost surely, 2100112120112222 is an apocalyptic number.

100112120112222 is an abundant number, since it is smaller than the sum of its proper divisors (127576145565378).

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

100112120112222 is a wasteful number, since it uses less digits than its factorization.

100112120112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17931578 (or 17931575 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100112120112222 its reverse (222211021211001), we get a palindrome (322323141323223).

The spelling of 100112120112222 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 83 101 111 166 202 222 249 303 333 498 606 666 747 909 1494 1818 3071 3737 6142 7474 8383 9213 11211 16766 18426 22422 25149 27639 33633 50298 55278 67266 75447 150894 310171 620342 930513 1861026 2791539 5583078 17931349 35862698 53794047 107588094 161382141 322764282 663459913 1326919826 1488301967 1811066249 1990379739 2976603934 3622132498 3980759478 4464905901 5433198747 5971139217 8929811802 10866397494 11942278434 13394717703 16299596241 26789435406 32599192482 55067172779 67009451213 110134345558 134018902426 150318498667 165201518337 201028353639 300636997334 330403036674 402056707278 450955496001 495604555011 603085060917 901910992002 991209110022 1206170121834 1352866488003 2705732976006 5561784450679 11123568901358 16685353352037 33370706704074 50056060056111 100112120112222