Search a number
-
+
31264877846201 is a prime number
BaseRepresentation
bin1110001101111011010111…
…11100000001111010111001
311002200220010002111221021012
413012331223330001322321
513044220432212034301
6150254515301123305
76404545550603006
oct706755374017271
9132626102457235
1031264877846201
119a643a651a25a
12360b4143b9535
13145a35ac1365c
147a132a10c8ad
1539341058eebb
hex1c6f6bf01eb9

31264877846201 has 2 divisors, whose sum is σ = 31264877846202. Its totient is φ = 31264877846200.

The previous prime is 31264877846113. The next prime is 31264877846249. The reversal of 31264877846201 is 10264877846213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28276391178025 + 2988486668176 = 5317555^2 + 1728724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31264877846201 is a prime.

It is a super-2 number, since 2×312648778462012 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31264877846261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15632438923100 + 15632438923101.

It is an arithmetic number, because the mean of its divisors is an integer number (15632438923101).

Almost surely, 231264877846201 is an apocalyptic number.

It is an amenable number.

31264877846201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31264877846201 is an equidigital number, since it uses as much as digits as its factorization.

31264877846201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21676032, while the sum is 59.

The spelling of 31264877846201 in words is "thirty-one trillion, two hundred sixty-four billion, eight hundred seventy-seven million, eight hundred forty-six thousand, two hundred one".