Search a number
-
+
33114410102281 is a prime number
BaseRepresentation
bin1111000011110000011001…
…01001101010111000001001
311100020201002011202102022211
413201320030221222320021
513320021302441233111
6154232314444145121
76655302644435644
oct741701451527011
9140221064672284
1033114410102281
11a607819236a72
123869964b381a1
1315628a2028311
14826a63050a5b
153c65ad897521
hex1e1e0ca6ae09

33114410102281 has 2 divisors, whose sum is σ = 33114410102282. Its totient is φ = 33114410102280.

The previous prime is 33114410102261. The next prime is 33114410102339. The reversal of 33114410102281 is 18220101441133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30478790977600 + 2635619124681 = 5520760^2 + 1623459^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33114410102281 is a prime.

It is a super-2 number, since 2×331144101022812 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33114410102201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16557205051140 + 16557205051141.

It is an arithmetic number, because the mean of its divisors is an integer number (16557205051141).

Almost surely, 233114410102281 is an apocalyptic number.

It is an amenable number.

33114410102281 is a deficient number, since it is larger than the sum of its proper divisors (1).

33114410102281 is an equidigital number, since it uses as much as digits as its factorization.

33114410102281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 33114410102281 in words is "thirty-three trillion, one hundred fourteen billion, four hundred ten million, one hundred two thousand, two hundred eighty-one".