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112202021110122 = 2345915193772663
BaseRepresentation
bin11001100000110000010001…
…100111001000000101101010
3112201021102000202202100110000
4121200300101213020011222
5104201304214401010442
61034344521422203430
732430220452235146
oct3140602147100552
9481242022670400
10112202021110122
11328296788a8119
1210701605a23576
134a7b7b37b0838
141d9c86d0a4226
15ce89732e6d4c
hex660c119c816a

112202021110122 has 80 divisors (see below), whose sum is σ = 255694081452480. Its totient is φ = 36764296417728.

The previous prime is 112202021110117. The next prime is 112202021110129. The reversal of 112202021110122 is 221011120202211.

112202021110122 is a `hidden beast` number, since 11 + 220 + 202 + 1 + 110 + 122 = 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 = 112202021110095 and 112202021110104.

It is not an unprimeable number, because it can be changed into a prime (112202021110129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144828363 + ... + 145601025.

It is an arithmetic number, because the mean of its divisors is an integer number (3196176018156).

Almost surely, 2112202021110122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112202021110122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127847040726240).

112202021110122 is an abundant number, since it is smaller than the sum of its proper divisors (143492060342358).

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

112202021110122 is a wasteful number, since it uses less digits than its factorization.

112202021110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787929 (or 787920 counting only the distinct ones).

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

Adding to 112202021110122 its reverse (221011120202211), we get a palindrome (333213141312333).

The spelling of 112202021110122 in words is "one hundred twelve trillion, two hundred two billion, twenty-one million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 1062 1593 3186 4779 9558 15193 30386 45579 91158 136737 273474 410211 772663 820422 896387 1230633 1545326 1792774 2317989 2461266 2689161 4635978 5378322 6953967 8067483 13907934 16134966 20861901 24202449 41723802 45587117 48404898 62585703 72607347 91174234 125171406 136761351 145214694 273522702 410284053 820568106 1230852159 2461704318 3692556477 7385112954 11739068959 23478137918 35217206877 70434413754 105651620631 211303241262 316954861893 633909723786 692605068581 950864585679 1385210137162 1901729171358 2077815205743 4155630411486 6233445617229 12466891234458 18700336851687 37400673703374 56101010555061 112202021110122