Search a number
-
+
10133103003337 is a prime number
BaseRepresentation
bin1001001101110100110000…
…0000010100011011001001
31022212201022101000101210201
42103131030000110123021
52312010043332101322
633315025552212201
72064043511245516
oct223351400243311
938781271011721
1010133103003337
113257474526516
121177a4383a061
13586716b6a0b2
1427063277430d
151288ba3e4d27
hex9374c0146c9

10133103003337 has 2 divisors, whose sum is σ = 10133103003338. Its totient is φ = 10133103003336.

The previous prime is 10133103003277. The next prime is 10133103003341. The reversal of 10133103003337 is 73330030133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8863219677456 + 1269883325881 = 2977116^2 + 1126891^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133103003337 - 243 = 1337009981129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10133103003137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066551501668 + 5066551501669.

It is an arithmetic number, because the mean of its divisors is an integer number (5066551501669).

Almost surely, 210133103003337 is an apocalyptic number.

It is an amenable number.

10133103003337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133103003337 is an equidigital number, since it uses as much as digits as its factorization.

10133103003337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5103, while the sum is 28.

Adding to 10133103003337 its reverse (73330030133101), we get a palindrome (83463133136438).

The spelling of 10133103003337 in words is "ten trillion, one hundred thirty-three billion, one hundred three million, three thousand, three hundred thirty-seven".