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12303211230321 = 311676121909091
BaseRepresentation
bin1011001100001001000010…
…0010001111010001110001
31121120011201221111112101220
42303002100202033101301
53103033434033332241
642100003415015253
72406610020650364
oct263022042172161
947504657445356
1012303211230321
113a13842aa4a60
12146854066a529
136b32598bc87b
1430769b3d00db
1516507c49a166
hexb309088f471

12303211230321 has 32 divisors (see below), whose sum is σ = 18165665435136. Its totient is φ = 7343992656000.

The previous prime is 12303211230319. The next prime is 12303211230341.

12303211230321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12303211230321 - 21 = 12303211230319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12303211230291 and 12303211230300.

It is not an unprimeable number, because it can be changed into a prime (12303211230341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13078986 + ... + 13988076.

It is an arithmetic number, because the mean of its divisors is an integer number (567677044848).

Almost surely, 212303211230321 is an apocalyptic number.

12303211230321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12303211230321 is a deficient number, since it is larger than the sum of its proper divisors (5862454204815).

12303211230321 is a wasteful number, since it uses less digits than its factorization.

12303211230321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915293.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1230321 and 1230321, that added together give a palindrome (2460642).

The spelling of 12303211230321 in words is "twelve trillion, three hundred three billion, two hundred eleven million, two hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 11 33 67 201 737 2211 6121 18363 67331 201993 410107 909091 1230321 2727273 4511177 10000001 13533531 30000003 60909097 182727291 670000067 2010000201 5564546011 16693638033 61210006121 183630018363 372824582737 1118473748211 4101070410107 12303211230321