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123311440337 is a prime number
BaseRepresentation
bin111001011010111101…
…1110100000111010001
3102210021210020012122212
41302311323310013101
54010020212042322
6132352024041505
711623525643261
oct1626573640721
9383253205585
10123311440337
1148329103278
121ba94903295
13b822273a17
145d7b05d7a1
15331aa680e2
hex1cb5ef41d1

123311440337 has 2 divisors, whose sum is σ = 123311440338. Its totient is φ = 123311440336.

The previous prime is 123311440309. The next prime is 123311440361. The reversal of 123311440337 is 733044113321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66401043856 + 56910396481 = 257684^2 + 238559^2 .

It is a cyclic number.

It is not a de Polignac number, because 123311440337 - 214 = 123311423953 is a prime.

It is a super-2 number, since 2×1233114403372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123311442337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61655720168 + 61655720169.

It is an arithmetic number, because the mean of its divisors is an integer number (61655720169).

Almost surely, 2123311440337 is an apocalyptic number.

It is an amenable number.

123311440337 is a deficient number, since it is larger than the sum of its proper divisors (1).

123311440337 is an equidigital number, since it uses as much as digits as its factorization.

123311440337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 32.

Adding to 123311440337 its reverse (733044113321), we get a palindrome (856355553658).

The spelling of 123311440337 in words is "one hundred twenty-three billion, three hundred eleven million, four hundred forty thousand, three hundred thirty-seven".