Search a number
-
+
1012121210112 = 2831317866159
BaseRepresentation
bin11101011101001110010…
…00000000110100000000
310120202110110121200211220
432232213020000310000
5113040311012210422
62052543450035040
7133060210224015
oct16564710006400
93522413550756
101012121210112
11360269045511
121441a5418a80
137459a58c00c
1436db61b770c
151b4da97ae5c
hexeba7200d00

1012121210112 has 36 divisors (see below), whose sum is σ = 2693718431040. Its totient is φ = 337373736448.

The previous prime is 1012121210071. The next prime is 1012121210119. The reversal of 1012121210112 is 2110121212101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1012121210091 and 1012121210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012121210119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 658932312 + ... + 658933847.

Almost surely, 21012121210112 is an apocalyptic number.

1012121210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012121210112 is an abundant number, since it is smaller than the sum of its proper divisors (1681597220928).

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

1012121210112 is an equidigital number, since it uses as much as digits as its factorization.

1012121210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317866178 (or 1317866164 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1012121210112 its reverse (2110121212101), we get a palindrome (3122242422213).

The spelling of 1012121210112 in words is "one trillion, twelve billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1317866159 2635732318 3953598477 5271464636 7907196954 10542929272 15814393908 21085858544 31628787816 42171717088 63257575632 84343434176 126515151264 168686868352 253030302528 337373736704 506060605056 1012121210112