Search a number
-
+
12303312323331 = 371175932837993
BaseRepresentation
bin1011001100001001011010…
…0011111000001100000011
31121120011222222201120221110
42303002112203320030003
53103034140423321311
642100021425454403
72406612356144241
oct263022643701403
947504888646843
1012303312323331
113a138950726a7
12146856a4a1403
136b3274826a13
143076aa9c7791
151650862b88a6
hexb30968f8303

12303312323331 has 16 divisors (see below), whose sum is σ = 16644922398720. Its totient is φ = 8082086591040.

The previous prime is 12303312323317. The next prime is 12303312323369. The reversal of 12303312323331 is 13332321330321.

It is not a de Polignac number, because 12303312323331 - 25 = 12303312323299 is a prime.

It is a super-2 number, since 2×123033123233312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12303312323371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16044330 + ... + 16793663.

It is an arithmetic number, because the mean of its divisors is an integer number (1040307649920).

Almost surely, 212303312323331 is an apocalyptic number.

12303312323331 is a deficient number, since it is larger than the sum of its proper divisors (4341610075389).

12303312323331 is a wasteful number, since it uses less digits than its factorization.

12303312323331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32839826.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 12303312323331 its reverse (13332321330321), we get a palindrome (25635633653652).

The spelling of 12303312323331 in words is "twelve trillion, three hundred three billion, three hundred twelve million, three hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 71 213 1759 5277 124889 374667 32837993 98513979 2331497503 6994492509 57762029687 173286089061 4101104107777 12303312323331