Search a number
-
+
333200101013137 is a prime number
BaseRepresentation
bin100101111000010110011000…
…1101010001111011010010001
31121200202121200221021022021001
41023300230301222033122101
5322133122301324410022
63140354002510102001
7130116625056032341
oct11360546152173221
91550677627238231
10333200101013137
1197193407571086
12314544b37aa901
13113bc83359cac7
145c3cd84372d21
15287c475105b27
hex12f0b31a8f691

333200101013137 has 2 divisors, whose sum is σ = 333200101013138. Its totient is φ = 333200101013136.

The previous prime is 333200101013123. The next prime is 333200101013177. The reversal of 333200101013137 is 731310101002333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331294019802256 + 1906081210881 = 18201484^2 + 1380609^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-333200101013137 is a prime.

It is a super-2 number, since 2×3332001010131372 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (333200101013177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166600050506568 + 166600050506569.

It is an arithmetic number, because the mean of its divisors is an integer number (166600050506569).

Almost surely, 2333200101013137 is an apocalyptic number.

It is an amenable number.

333200101013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

333200101013137 is an equidigital number, since it uses as much as digits as its factorization.

333200101013137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 28.

The spelling of 333200101013137 in words is "three hundred thirty-three trillion, two hundred billion, one hundred one million, thirteen thousand, one hundred thirty-seven".