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271231801361 is a prime number
BaseRepresentation
bin1111110010011010101…
…1001101100000010001
3221221002121111010011122
43330212223031200101
513420440320120421
6324334022452025
725411243162163
oct3744653154021
9857077433148
10271231801361
11a503530a924
1244696b94015
131c766a13b71
14d1b0544933
1570c6ca32ab
hex3f26acd811

271231801361 has 2 divisors, whose sum is σ = 271231801362. Its totient is φ = 271231801360.

The previous prime is 271231801343. The next prime is 271231801369. The reversal of 271231801361 is 163108132172.

271231801361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 263389636225 + 7842165136 = 513215^2 + 88556^2 .

It is a cyclic number.

It is not a de Polignac number, because 271231801361 - 210 = 271231800337 is a prime.

It is a super-2 number, since 2×2712318013612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (271231801369) 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 as a sum of consecutive naturals, namely, 135615900680 + 135615900681.

It is an arithmetic number, because the mean of its divisors is an integer number (135615900681).

Almost surely, 2271231801361 is an apocalyptic number.

It is an amenable number.

271231801361 is a deficient number, since it is larger than the sum of its proper divisors (1).

271231801361 is an equidigital number, since it uses as much as digits as its factorization.

271231801361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 271231801361 in words is "two hundred seventy-one billion, two hundred thirty-one million, eight hundred one thousand, three hundred sixty-one".