Search a number
-
+
12135101196457 is a prime number
BaseRepresentation
bin1011000010010110110001…
…1001010110100010101001
31120222002211001210222102101
42300211230121112202221
53042310141401241312
641450442153333401
72361506056151521
oct260455431264251
946862731728371
1012135101196457
11395951629a378
12143ba44a07261
136a0448395255
142dd4b076c681
151609dda29a57
hexb096c6568a9

12135101196457 has 2 divisors, whose sum is σ = 12135101196458. Its totient is φ = 12135101196456.

The previous prime is 12135101196377. The next prime is 12135101196479. The reversal of 12135101196457 is 75469110153121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11446725656601 + 688375539856 = 3383301^2 + 829684^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12135101196457 is a prime.

It is a super-2 number, since 2×121351011964572 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12135101196157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6067550598228 + 6067550598229.

It is an arithmetic number, because the mean of its divisors is an integer number (6067550598229).

Almost surely, 212135101196457 is an apocalyptic number.

It is an amenable number.

12135101196457 is a deficient number, since it is larger than the sum of its proper divisors (1).

12135101196457 is an equidigital number, since it uses as much as digits as its factorization.

12135101196457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 226800, while the sum is 46.

The spelling of 12135101196457 in words is "twelve trillion, one hundred thirty-five billion, one hundred one million, one hundred ninety-six thousand, four hundred fifty-seven".