Search a number
-
+
12101012313 = 313437215869
BaseRepresentation
bin10110100010100011…
…01100101101011001
31011020100012010012020
423101101230231121
5144240324343223
65320434405053
7605605623165
oct132121545531
934210163166
1012101012313
11514a784725
122418730789
1311ab071020
1482b1d3ca5
154ac5751e3
hex2d146cb59

12101012313 has 16 divisors (see below), whose sum is σ = 17779903680. Its totient is φ = 7273594944.

The previous prime is 12101012299. The next prime is 12101012327. The reversal of 12101012313 is 31321010121.

It is a happy number.

12101012313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12101012299) and next prime (12101012327).

It is not a de Polignac number, because 12101012313 - 212 = 12101008217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101012292 and 12101012301.

It is not an unprimeable number, because it can be changed into a prime (12101012113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3606258 + ... + 3609611.

It is an arithmetic number, because the mean of its divisors is an integer number (1111243980).

Almost surely, 212101012313 is an apocalyptic number.

12101012313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12101012313 is a deficient number, since it is larger than the sum of its proper divisors (5678891367).

12101012313 is a wasteful number, since it uses less digits than its factorization.

12101012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7215928.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12101012313 its reverse (31321010121), we get a palindrome (43422022434).

The spelling of 12101012313 in words is "twelve billion, one hundred one million, twelve thousand, three hundred thirteen".

Divisors: 1 3 13 39 43 129 559 1677 7215869 21647607 93806297 281418891 310282367 930847101 4033670771 12101012313