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122123133032 = 2315265391629
BaseRepresentation
bin111000110111100011…
…0110010000001101000
3102200012222012221111012
41301233012302001220
54000102010224112
6132034054323052
711552216334425
oct1615706620150
9380188187435
10122123133032
114787936341a
121b802959488
13b6930146c4
145ca72d4d4c
15329b58c022
hex1c6f1b2068

122123133032 has 8 divisors (see below), whose sum is σ = 228980874450. Its totient is φ = 61061566512.

The previous prime is 122123133001. The next prime is 122123133059. The reversal of 122123133032 is 230331321221.

It can be written as a sum of positive squares in only one way, i.e., 122014681636 + 108451396 = 349306^2 + 10414^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 122123132989 and 122123133007.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 7632695807 + ... + 7632695822.

Almost surely, 2122123133032 is an apocalyptic number.

It is an amenable number.

122123133032 is a deficient number, since it is larger than the sum of its proper divisors (106857741418).

122123133032 is a wasteful number, since it uses less digits than its factorization.

122123133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15265391635 (or 15265391631 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122123133032 its reverse (230331321221), we get a palindrome (352454454253).

The spelling of 122123133032 in words is "one hundred twenty-two billion, one hundred twenty-three million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 15265391629 30530783258 61061566516 122123133032