Search a number
-
+
3164105152001 is a prime number
BaseRepresentation
bin101110000010110011010…
…111010001011000000001
3102012111002221001202022202
4232002303113101120001
5403320041404331001
610421323030242545
7444412322014343
oct56026327213001
912174087052282
103164105152001
11100a986963342
124312844b6455
1319c4b2416a41
14ad201ad3293
155748b7c796b
hex2e0b35d1601

3164105152001 has 2 divisors, whose sum is σ = 3164105152002. Its totient is φ = 3164105152000.

The previous prime is 3164105151967. The next prime is 3164105152027. The reversal of 3164105152001 is 1002515014613.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3105577930225 + 58527221776 = 1762265^2 + 241924^2 .

It is a cyclic number.

It is not a de Polignac number, because 3164105152001 - 230 = 3163031410177 is a prime.

It is a super-2 number, since 2×31641051520012 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3164105152051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1582052576000 + 1582052576001.

It is an arithmetic number, because the mean of its divisors is an integer number (1582052576001).

Almost surely, 23164105152001 is an apocalyptic number.

It is an amenable number.

3164105152001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3164105152001 is an equidigital number, since it uses as much as digits as its factorization.

3164105152001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 3164105152001 in words is "three trillion, one hundred sixty-four billion, one hundred five million, one hundred fifty-two thousand, one".