Search a number
-
+
100102135153 is a prime number
BaseRepresentation
bin101110100111010001…
…1010101110101110001
3100120101021211100100011
41131032203111311301
53120002121311103
6113553012054521
710142424052426
oct1351643256561
9316337740304
10100102135153
11394a9055819
1217498004441
139593a20047
144bb8849d4d
15290d1b1d6d
hex174e8d5d71

100102135153 has 2 divisors, whose sum is σ = 100102135154. Its totient is φ = 100102135152.

The previous prime is 100102135121. The next prime is 100102135157. The reversal of 100102135153 is 351531201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67591160289 + 32510974864 = 259983^2 + 180308^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102135153 - 25 = 100102135121 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102135157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051067576 + 50051067577.

It is an arithmetic number, because the mean of its divisors is an integer number (50051067577).

Almost surely, 2100102135153 is an apocalyptic number.

It is an amenable number.

100102135153 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102135153 is an equidigital number, since it uses as much as digits as its factorization.

100102135153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 100102135153 its reverse (351531201001), we get a palindrome (451633336154).

The spelling of 100102135153 in words is "one hundred billion, one hundred two million, one hundred thirty-five thousand, one hundred fifty-three".