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101100001220112 = 243103138101148073
BaseRepresentation
bin10110111111001100101101…
…101010001101011000010000
3111020222001202220200021200210
4112333030231222031120100
5101222410300303020422
6555004411022244120
730203143164221046
oct2677145552153020
9436861686607623
10101100001220112
112a2392a7020924
12b409a35a26640
1344548c625a67b
141ad73a2516396
15ba4c9a41210c
hex5bf32da8d610

101100001220112 has 80 divisors (see below), whose sum is σ = 263714373307008. Its totient is φ = 33372348902400.

The previous prime is 101100001220111. The next prime is 101100001220221. The reversal of 101100001220112 is 211022100001101.

101100001220112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101100001220111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682697308 + ... + 682845380.

Almost surely, 2101100001220112 is an apocalyptic number.

101100001220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101100001220112 is an abundant number, since it is smaller than the sum of its proper divisors (162614372086896).

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

101100001220112 is a wasteful number, since it uses less digits than its factorization.

101100001220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286288 (or 286282 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101100001220112 its reverse (211022100001101), we get a palindrome (312122101221213).

The spelling of 101100001220112 in words is "one hundred one trillion, one hundred billion, one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 138101 148073 276202 296146 414303 444219 552404 592292 828606 888438 1104808 1184584 1657212 1776876 2209616 2369168 3314424 3553752 6628848 7107504 14224403 15251519 28448806 30503038 42673209 45754557 56897612 61006076 85346418 91509114 113795224 122012152 170692836 183018228 227590448 244024304 341385672 366036456 682771344 732072912 20449029373 40898058746 61347088119 81796117492 122694176238 163592234984 245388352476 327184469968 490776704952 981553409904 2106250025419 4212500050838 6318750076257 8425000101676 12637500152514 16850000203352 25275000305028 33700000406704 50550000610056 101100001220112