Search a number
-
+
110001100837949 is a prime number
BaseRepresentation
bin11001000000101110100000…
…100010100101010000111101
3112102111000001211222010212222
4121000232200202211100331
5103404224223303303244
61025541450314335125
732112213552502616
oct3100564042452075
9472430054863788
10110001100837949
1132060228778022
1210406b4a12a4a5
13494c0a0386669
141d2412021ac0d
15cab5ab1b1bee
hex640ba08a543d

110001100837949 has 2 divisors, whose sum is σ = 110001100837950. Its totient is φ = 110001100837948.

The previous prime is 110001100837807. The next prime is 110001100837961. The reversal of 110001100837949 is 949738001100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75454413602500 + 34546687235449 = 8686450^2 + 5877643^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110001100837949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110001100837049) 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, 55000550418974 + 55000550418975.

It is an arithmetic number, because the mean of its divisors is an integer number (55000550418975).

Almost surely, 2110001100837949 is an apocalyptic number.

It is an amenable number.

110001100837949 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001100837949 is an equidigital number, since it uses as much as digits as its factorization.

110001100837949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 44.

The spelling of 110001100837949 in words is "one hundred ten trillion, one billion, one hundred million, eight hundred thirty-seven thousand, nine hundred forty-nine".