Search a number
-
+
100144111369 is a prime number
BaseRepresentation
bin101110101000100001…
…1011101111100001001
3100120111012210221212211
41131101003131330021
53120043343030434
6114001111505121
710143443621161
oct1352103357411
9316435727784
10100144111369
113951a816105
12174aa0881a1
13959c629243
144bc02555a1
152911c04464
hex17510ddf09

100144111369 has 2 divisors, whose sum is σ = 100144111370. Its totient is φ = 100144111368.

The previous prime is 100144111367. The next prime is 100144111391. The reversal of 100144111369 is 963111441001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56555022969 + 43589088400 = 237813^2 + 208780^2 .

It is a cyclic number.

It is not a de Polignac number, because 100144111369 - 21 = 100144111367 is a prime.

It is a super-2 number, since 2×1001441113692 (a number of 23 digits) contains 22 as substring.

Together with 100144111367, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100144111369.

It is not a weakly prime, because it can be changed into another prime (100144111367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50072055684 + 50072055685.

It is an arithmetic number, because the mean of its divisors is an integer number (50072055685).

Almost surely, 2100144111369 is an apocalyptic number.

It is an amenable number.

100144111369 is a deficient number, since it is larger than the sum of its proper divisors (1).

100144111369 is an equidigital number, since it uses as much as digits as its factorization.

100144111369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 100144111369 in words is "one hundred billion, one hundred forty-four million, one hundred eleven thousand, three hundred sixty-nine".