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268131132301 is a prime number
BaseRepresentation
bin1111100110110111011…
…1000110001110001101
3221122002112000210211211
43321231313012032031
513343113032213201
6323102220414421
725241353006534
oct3715567061615
9848075023754
10268131132301
11a379404130a
1243b706a7411
131c391513446
14cd9881531b
156e94976651
hex3e6ddc638d

268131132301 has 2 divisors, whose sum is σ = 268131132302. Its totient is φ = 268131132300.

The previous prime is 268131132289. The next prime is 268131132319. The reversal of 268131132301 is 103231131862.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145001024100 + 123130108201 = 380790^2 + 350899^2 .

It is a cyclic number.

It is not a de Polignac number, because 268131132301 - 213 = 268131124109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (268131132371) 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 as a sum of consecutive naturals, namely, 134065566150 + 134065566151.

It is an arithmetic number, because the mean of its divisors is an integer number (134065566151).

Almost surely, 2268131132301 is an apocalyptic number.

It is an amenable number.

268131132301 is a deficient number, since it is larger than the sum of its proper divisors (1).

268131132301 is an equidigital number, since it uses as much as digits as its factorization.

268131132301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 268131132301 in words is "two hundred sixty-eight billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred one".