Search a number
-
+
12312312100013 = 67223782148347
BaseRepresentation
bin1011001100101010111011…
…1111010011010010101101
31121121001020012101121121202
42303022232333103102231
53103211103344200023
642104110442135245
72410351400035232
oct263125677232255
947531205347552
1012312312100013
113a17693221072
12146a2604b1525
136b407a229473
14307cc1d81789
1516541144e128
hexb32aefd34ad

12312312100013 has 8 divisors (see below), whose sum is σ = 12501664192032. Its totient is φ = 12123124309296.

The previous prime is 12312312099949. The next prime is 12312312100019. The reversal of 12312312100013 is 31000121321321.

It is a happy number.

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 12312312100013 - 26 = 12312312099949 is a prime.

It is a super-2 number, since 2×123123121000132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312312100019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40924295 + ... + 41224052.

It is an arithmetic number, because the mean of its divisors is an integer number (1562708024004).

Almost surely, 212312312100013 is an apocalyptic number.

It is an amenable number.

12312312100013 is a deficient number, since it is larger than the sum of its proper divisors (189352092019).

12312312100013 is an equidigital number, since it uses as much as digits as its factorization.

12312312100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82150651.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12312312100013 its reverse (31000121321321), we get a palindrome (43312433421334).

The spelling of 12312312100013 in words is "twelve trillion, three hundred twelve billion, three hundred twelve million, one hundred thousand, thirteen".

Divisors: 1 67 2237 149879 82148347 5503939249 183765852239 12312312100013