Search a number
-
+
106144818973 is a prime number
BaseRepresentation
bin110001011011010111…
…0010110011100011101
3101010222102012111012121
41202312232112130131
53214341033201343
6120432351502541
710445240034424
oct1426656263435
9333872174177
10106144818973
1141019a8a596
12186a3827a51
13a0178b20bb
1451cd1aa2bb
152b6392baed
hex18b6b9671d

106144818973 has 2 divisors, whose sum is σ = 106144818974. Its totient is φ = 106144818972.

The previous prime is 106144818917. The next prime is 106144819043. The reversal of 106144818973 is 379818441601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98780089849 + 7364729124 = 314293^2 + 85818^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106144818973 is a prime.

It is a super-2 number, since 2×1061448189732 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106144818973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106144818673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53072409486 + 53072409487.

It is an arithmetic number, because the mean of its divisors is an integer number (53072409487).

Almost surely, 2106144818973 is an apocalyptic number.

It is an amenable number.

106144818973 is a deficient number, since it is larger than the sum of its proper divisors (1).

106144818973 is an equidigital number, since it uses as much as digits as its factorization.

106144818973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 106144818973 in words is "one hundred six billion, one hundred forty-four million, eight hundred eighteen thousand, nine hundred seventy-three".