Search a number
-
+
100121889139 is a prime number
BaseRepresentation
bin101110100111110111…
…0101100100101110011
3100120102122222221201021
41131033232230211303
53120022200423024
6113554555320311
710143054005266
oct1351756544563
9316378887637
10100121889139
1139509218228
12174a2750097
139597b484ac
144bbb30ccdd
15290ecb4de4
hex174fbac973

100121889139 has 2 divisors, whose sum is σ = 100121889140. Its totient is φ = 100121889138.

The previous prime is 100121889137. The next prime is 100121889149. The reversal of 100121889139 is 931988121001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100121889139 - 21 = 100121889137 is a prime.

It is a super-2 number, since 2×1001218891392 (a number of 23 digits) contains 22 as substring.

Together with 100121889137, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100121889095 and 100121889104.

It is not a weakly prime, because it can be changed into another prime (100121889137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060944569 + 50060944570.

It is an arithmetic number, because the mean of its divisors is an integer number (50060944570).

Almost surely, 2100121889139 is an apocalyptic number.

100121889139 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121889139 is an equidigital number, since it uses as much as digits as its factorization.

100121889139 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 43.

The spelling of 100121889139 in words is "one hundred billion, one hundred twenty-one million, eight hundred eighty-nine thousand, one hundred thirty-nine".