Search a number
-
+
12101000112 = 2432174943219
BaseRepresentation
bin10110100010100011…
…01001101110110000
31011020100011111110100
423101101221232300
5144240324000422
65320434232400
7605605542465
oct132121515660
934210144410
1012101000112
11514a776543
122418725700
1311ab0685c6
1482b1cd66c
154ac5717ac
hex2d1469bb0

12101000112 has 60 divisors (see below), whose sum is σ = 35858117880. Its totient is φ = 3796391424.

The previous prime is 12101000099. The next prime is 12101000147. The reversal of 12101000112 is 21100010121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12101000094 and 12101000103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2469162 + ... + 2474057.

It is an arithmetic number, because the mean of its divisors is an integer number (597635298).

Almost surely, 212101000112 is an apocalyptic number.

12101000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101000112 is an abundant number, since it is smaller than the sum of its proper divisors (23757117768).

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

12101000112 is a wasteful number, since it uses less digits than its factorization.

12101000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943250 (or 4943241 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12101000112 its reverse (21100010121), we get a palindrome (33201010233).

The spelling of 12101000112 in words is "twelve billion, one hundred one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4943219 9886438 14829657 19772876 29659314 39545752 44488971 59318628 79091504 84034723 88977942 118637256 168069446 177955884 237274512 252104169 336138892 355911768 504208338 672277784 711823536 756312507 1008416676 1344555568 1512625014 2016833352 3025250028 4033666704 6050500056 12101000112