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12210211210093 = 131138311920497
BaseRepresentation
bin1011000110101110100101…
…0011010100001101101101
31121020021200121120000012021
42301223221103110031231
53100023003032210333
641545143225510141
72400105262555231
oct261535123241555
947207617500167
1012210211210093
1139883599aa306
121452507042351
136a75583a9ac0
14302d97cc25c1
15162937a7382d
hexb1ae94d436d

12210211210093 has 8 divisors (see below), whose sum is σ = 13265825114808. Its totient is φ = 11171221146624.

The previous prime is 12210211209971. The next prime is 12210211210117. The reversal of 12210211210093 is 39001211201221.

It can be written as a sum of positive squares in 4 ways, for example, as 2318852837284 + 9891358372809 = 1522778^2 + 3145053^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12210211210093 - 213 = 12210211201901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210211210993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4155958780 + ... + 4155961717.

It is an arithmetic number, because the mean of its divisors is an integer number (1658228139351).

Almost surely, 212210211210093 is an apocalyptic number.

12210211210093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12210211210093 is a deficient number, since it is larger than the sum of its proper divisors (1055613904715).

12210211210093 is a wasteful number, since it uses less digits than its factorization.

12210211210093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311920623.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 12210211210093 in words is "twelve trillion, two hundred ten billion, two hundred eleven million, two hundred ten thousand, ninety-three".

Divisors: 1 13 113 1469 8311920497 108054966461 939247016161 12210211210093