Search a number
-
+
12311220213301 = 73191657879941
BaseRepresentation
bin1011001100100110110111…
…1010000101011000110101
31121120221102002211000122011
42303021231322011120311
53103201334333311201
642103410235204221
72410312341123112
oct263115572053065
947527362730564
1012311220213301
113a17182948459
121469bb68a6671
136b3c34c59659
14307c1ad55909
1516539a66c151
hexb326de85635

12311220213301 has 8 divisors (see below), whose sum is σ = 12479946363864. Its totient is φ = 12142496206080.

The previous prime is 12311220213277. The next prime is 12311220213307. The reversal of 12311220213301 is 10331202211321.

It can be written as a sum of positive squares in 4 ways, for example, as 6598039882225 + 5713180331076 = 2568665^2 + 2390226^2 .

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 12311220213301 - 29 = 12311220212789 is a prime.

It is a super-2 number, since 2×123112202133012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311220213307) 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, 13550991 + ... + 14430931.

It is an arithmetic number, because the mean of its divisors is an integer number (1559993295483).

Almost surely, 212311220213301 is an apocalyptic number.

It is an amenable number.

12311220213301 is a deficient number, since it is larger than the sum of its proper divisors (168726150563).

12311220213301 is an equidigital number, since it uses as much as digits as its factorization.

12311220213301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071671.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12311220213301 its reverse (10331202211321), we get a palindrome (22642422424622).

It can be divided in two parts, 12311220 and 213301, that added together give a square (12524521 = 35392).

The spelling of 12311220213301 in words is "twelve trillion, three hundred eleven billion, two hundred twenty million, two hundred thirteen thousand, three hundred one".

Divisors: 1 73 191657 879941 13990961 64235693 168646852237 12311220213301