Search a number
-
+
100020092129 is a prime number
BaseRepresentation
bin101110100100110101…
…0010111110011100001
3100120011120110010110122
41131021222113303201
53114320120422004
6113540521410025
710140406520066
oct1351152276341
9316146403418
10100020092129
1139466809671
1217474639915
13957ca25a89
144bab9b0c6d
152905da7cbe
hex1749a97ce1

100020092129 has 2 divisors, whose sum is σ = 100020092130. Its totient is φ = 100020092128.

The previous prime is 100020092009. The next prime is 100020092131. The reversal of 100020092129 is 921290020001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82423539025 + 17596553104 = 287095^2 + 132652^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020092129 - 212 = 100020088033 is a prime.

Together with 100020092131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100020092098 and 100020092107.

It is not a weakly prime, because it can be changed into another prime (100020092929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010046064 + 50010046065.

It is an arithmetic number, because the mean of its divisors is an integer number (50010046065).

Almost surely, 2100020092129 is an apocalyptic number.

It is an amenable number.

100020092129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020092129 is an equidigital number, since it uses as much as digits as its factorization.

100020092129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 100020092129 in words is "one hundred billion, twenty million, ninety-two thousand, one hundred twenty-nine".