Search a number
-
+
2131133103829 is a prime number
BaseRepresentation
bin11111000000110001011…
…011100111111011010101
321112201211022220201211101
4133000301123213323111
5234404030033310304
64311010134310101
7306653315332102
oct37006133477325
97481738821741
102131133103829
11751899095664
122a50401b8331
13125c7110a532
147520c633aa9
153a6805658a4
hex1f0316e7ed5

2131133103829 has 2 divisors, whose sum is σ = 2131133103830. Its totient is φ = 2131133103828.

The previous prime is 2131133103817. The next prime is 2131133103947. The reversal of 2131133103829 is 9283013311312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1342349325604 + 788783778225 = 1158598^2 + 888135^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131133103829 - 29 = 2131133103317 is a prime.

It is a super-2 number, since 2×21311331038292 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131133103809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065566551914 + 1065566551915.

It is an arithmetic number, because the mean of its divisors is an integer number (1065566551915).

Almost surely, 22131133103829 is an apocalyptic number.

It is an amenable number.

2131133103829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131133103829 is an equidigital number, since it uses as much as digits as its factorization.

2131133103829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 2131133103829 in words is "two trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred three thousand, eight hundred twenty-nine".