Search a number
-
+
100404120389 is a prime number
BaseRepresentation
bin101110110000010001…
…1010100101101000101
3100121011100001210012112
41131200203110231011
53121111423323024
6114043000430405
710153051641026
oct1354043245505
9317140053175
10100404120389
11396435657a1
1217561178405
139611464631
144c069b8c4d
15292996400e
hex17608d4b45

100404120389 has 2 divisors, whose sum is σ = 100404120390. Its totient is φ = 100404120388.

The previous prime is 100404120317. The next prime is 100404120409. The reversal of 100404120389 is 983021404001.

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., 82777044100 + 17627076289 = 287710^2 + 132767^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100404120389 is a prime.

It is a super-2 number, since 2×1004041203892 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100404122389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50202060194 + 50202060195.

It is an arithmetic number, because the mean of its divisors is an integer number (50202060195).

Almost surely, 2100404120389 is an apocalyptic number.

It is an amenable number.

100404120389 is a deficient number, since it is larger than the sum of its proper divisors (1).

100404120389 is an equidigital number, since it uses as much as digits as its factorization.

100404120389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 100404120389 in words is "one hundred billion, four hundred four million, one hundred twenty thousand, three hundred eighty-nine".