Search a number
-
+
2131100000329 is a prime number
BaseRepresentation
bin11111000000101111011…
…101010110000001001001
321112201202000121220100211
4133000233131112001021
5234403443100002304
64311002553001121
7306652434056326
oct37005735260111
97481660556324
102131100000329
117518814354a3
122a50310b31a1
13125c672b9a71
1475208097b4d
153a67c6c7204
hex1f02f756049

2131100000329 has 2 divisors, whose sum is σ = 2131100000330. Its totient is φ = 2131100000328.

The previous prime is 2131100000261. The next prime is 2131100000339. The reversal of 2131100000329 is 9230000011312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1687330854729 + 443769145600 = 1298973^2 + 666160^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131100000329 - 29 = 2131099999817 is a prime.

It is a super-2 number, since 2×21311000003292 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2131100000339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065550000164 + 1065550000165.

It is an arithmetic number, because the mean of its divisors is an integer number (1065550000165).

Almost surely, 22131100000329 is an apocalyptic number.

It is an amenable number.

2131100000329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131100000329 is an equidigital number, since it uses as much as digits as its factorization.

2131100000329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 2131100000329 in words is "two trillion, one hundred thirty-one billion, one hundred million, three hundred twenty-nine", and thus it is an aban number.