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112112002220022 = 23275919975783817
BaseRepresentation
bin11001011111011100011100…
…000100010011111111110110
3112200221210200012022220222100
4121133130130010103333312
5104143320340032020042
61034235313125042530
732420552633264340
oct3137343404237766
9480853605286870
10112112002220022
11327a4484554682
12106a8082856446
134a73168aa63ac
141d9836d88a290
15ce645548824c
hex65f71c113ff6

112112002220022 has 96 divisors (see below), whose sum is σ = 283734614592000. Its totient is φ = 31330848345984.

The previous prime is 112112002220021. The next prime is 112112002220039. The reversal of 112112002220022 is 220022200211211.

It is a happy number.

112112002220022 is a `hidden beast` number, since 11 + 211 + 200 + 2 + 220 + 0 + 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 = 112112002219977 and 112112002220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112002220021) 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, 36412543 + ... + 39371274.

It is an arithmetic number, because the mean of its divisors is an integer number (2955568902000).

Almost surely, 2112112002220022 is an apocalyptic number.

112112002220022 is an abundant number, since it is smaller than the sum of its proper divisors (171622612371978).

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

112112002220022 is a wasteful number, since it uses less digits than its factorization.

112112002220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75784090 (or 75784087 counting only the distinct ones).

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

Adding to 112112002220022 its reverse (220022200211211), we get a palindrome (332134202431233).

The spelling of 112112002220022 in words is "one hundred twelve trillion, one hundred twelve billion, two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 199 354 398 413 531 597 826 1062 1194 1239 1393 1791 2478 2786 3582 3717 4179 7434 8358 11741 12537 23482 25074 35223 70446 82187 105669 164374 211338 246561 493122 739683 1479366 75783817 151567634 227351451 454702902 530486719 682054353 1060973438 1364108706 1591460157 3182920314 4471245203 4774380471 8942490406 9548760942 13413735609 15080979583 26827471218 30161959166 31298716421 40241206827 45242938749 62597432842 80482413654 90485877498 93896149263 105566857081 135728816247 187792298526 211133714162 271457632494 281688447789 316700571243 563376895578 633401142486 889777795397 950101713729 1779555590794 1900203427458 2669333386191 5338666772382 6228444567779 8008000158573 12456889135558 16016000317146 18685333703337 37370667406674 56056001110011 112112002220022