Search a number
-
+
102153442151429 is a prime number
BaseRepresentation
bin10111001110100001110011…
…101000011100110000000101
3111101200202220000122022012022
4113032201303220130300011
5101342140222142321204
61001132350553332525
730342225345334424
oct2716416350346005
9441622800568168
10102153442151429
112a605038a61459
12b55a031107145
13450004a120456
141b323782732bb
15bc23a365d5be
hex5ce873a1cc05

102153442151429 has 2 divisors, whose sum is σ = 102153442151430. Its totient is φ = 102153442151428.

The previous prime is 102153442151399. The next prime is 102153442151531. The reversal of 102153442151429 is 924151244351201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68293530720100 + 33859911431329 = 8263990^2 + 5818927^2 .

It is a cyclic number.

It is not a de Polignac number, because 102153442151429 - 212 = 102153442147333 is a prime.

It is a super-3 number, since 3×1021534421514293 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102153442151429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102153442051429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51076721075714 + 51076721075715.

It is an arithmetic number, because the mean of its divisors is an integer number (51076721075715).

Almost surely, 2102153442151429 is an apocalyptic number.

It is an amenable number.

102153442151429 is a deficient number, since it is larger than the sum of its proper divisors (1).

102153442151429 is an equidigital number, since it uses as much as digits as its factorization.

102153442151429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 102153442151429 in words is "one hundred two trillion, one hundred fifty-three billion, four hundred forty-two million, one hundred fifty-one thousand, four hundred twenty-nine".