Search a number
-
+
122210120097 = 32131044530941
BaseRepresentation
bin111000111010001001…
…0100111000110100001
3102200110000220100022100
41301310102213012201
54000241242320342
6132050443001013
711554323611142
oct1616422470641
9380400810270
10122210120097
114791347705a
121b827b09169
13b6a8050140
145cb4a99ac9
1532a4020e4c
hex1c744a71a1

122210120097 has 12 divisors (see below), whose sum is σ = 190104631444. Its totient is φ = 75206227680.

The previous prime is 122210120027. The next prime is 122210120107. The reversal of 122210120097 is 790021012221.

It can be written as a sum of positive squares in 2 ways, for example, as 18345077136 + 103865042961 = 135444^2 + 322281^2 .

It is not a de Polignac number, because 122210120097 - 214 = 122210103713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122210120097.

It is not an unprimeable number, because it can be changed into a prime (122210120027) 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 in 11 ways as a sum of consecutive naturals, for example, 522265354 + ... + 522265587.

Almost surely, 2122210120097 is an apocalyptic number.

It is an amenable number.

122210120097 is a deficient number, since it is larger than the sum of its proper divisors (67894511347).

122210120097 is a wasteful number, since it uses less digits than its factorization.

122210120097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044530960 (or 1044530957 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 122210120097 in words is "one hundred twenty-two billion, two hundred ten million, one hundred twenty thousand, ninety-seven".

Divisors: 1 3 9 13 39 117 1044530941 3133592823 9400778469 13578902233 40736706699 122210120097