Base | Representation |
---|---|
bin | 111000111101010001… |
… | …0100000110110011000 |
3 | 102200201100011100202200 |
4 | 1301322202200312120 |
5 | 4001000111431323 |
6 | 132105105530200 |
7 | 11560035636600 |
oct | 1617242406630 |
9 | 380640140680 |
10 | 122314952088 |
11 | 4796766896a |
12 | 1b857043960 |
13 | b6c39960c4 |
14 | 5cc4987c00 |
15 | 32ad32c443 |
hex | 1c7a8a0d98 |
122314952088 has 144 divisors (see below), whose sum is σ = 386274526560. Its totient is φ = 34863696000.
The previous prime is 122314952059. The next prime is 122314952113. The reversal of 122314952088 is 880259413221.
122314952088 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 49 + 520 + 88 = 666.
It is a congruent number.
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 in 35 ways as a sum of consecutive naturals, for example, 1444113 + ... + 1526463.
It is an arithmetic number, because the mean of its divisors is an integer number (2682461990).
Almost surely, 2122314952088 is an apocalyptic number.
122314952088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122314952088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193137263280).
122314952088 is an abundant number, since it is smaller than the sum of its proper divisors (263959574472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122314952088 is a wasteful number, since it uses less digits than its factorization.
122314952088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 82798 (or 82784 counting only the distinct ones).
The product of its (nonzero) digits is 276480, while the sum is 45.
The spelling of 122314952088 in words is "one hundred twenty-two billion, three hundred fourteen million, nine hundred fifty-two thousand, eighty-eight".
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