Search a number
-
+
122356775073 = 31319213777269
BaseRepresentation
bin111000111110100001…
…0000011100010100001
3102200211020212012010010
41301331002003202201
54001041313300243
6132113202155133
711561054266521
oct1617502034241
9380736765103
10122356775073
1147989234115
121b869052aa9
13b6cc54a630
145cca353681
1532b1d3e433
hex1c7d0838a1

122356775073 has 32 divisors (see below), whose sum is σ = 185027651200. Its totient is φ = 71299201536.

The previous prime is 122356775059. The next prime is 122356775077. The reversal of 122356775073 is 370577653221.

It is not a de Polignac number, because 122356775073 - 216 = 122356709537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122356775077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1544883 + ... + 1622151.

It is an arithmetic number, because the mean of its divisors is an integer number (5782114100).

Almost surely, 2122356775073 is an apocalyptic number.

122356775073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122356775073 is a deficient number, since it is larger than the sum of its proper divisors (62670876127).

122356775073 is a wasteful number, since it uses less digits than its factorization.

122356775073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79441.

The product of its (nonzero) digits is 1852200, while the sum is 48.

The spelling of 122356775073 in words is "one hundred twenty-two billion, three hundred fifty-six million, seven hundred seventy-five thousand, seventy-three".

Divisors: 1 3 13 19 39 57 247 741 2137 6411 27781 40603 77269 83343 121809 231807 527839 1004497 1468111 1583517 3013491 4404333 19085443 57256329 165123853 495371559 2146610089 3137353207 6439830267 9412059621 40785591691 122356775073