Base | Representation |
---|---|
bin | 111000110100100100… |
… | …1010100000000010000 |
3 | 102122222000001102111201 |
4 | 1301221021110000100 |
5 | 3444400410230300 |
6 | 132020123120544 |
7 | 11546563342633 |
oct | 1615111240020 |
9 | 378860042451 |
10 | 122023133200 |
11 | 47827972031 |
12 | 1b795373154 |
13 | b6783a0cc7 |
14 | 5c97d03c1a |
15 | 32928d766a |
hex | 1c69254010 |
122023133200 has 30 divisors (see below), whose sum is σ = 293160578474. Its totient is φ = 48809253120.
The previous prime is 122023133153. The next prime is 122023133201. The reversal of 122023133200 is 2331320221.
122023133200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 7054336 + 122016078864 = 2656^2 + 349308^2 .
It is not an unprimeable number, because it can be changed into a prime (122023133201) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152528517 + ... + 152529316.
Almost surely, 2122023133200 is an apocalyptic number.
122023133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122023133200 is an abundant number, since it is smaller than the sum of its proper divisors (171137445274).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122023133200 is a wasteful number, since it uses less digits than its factorization.
122023133200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 305057851 (or 305057840 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 19.
Adding to 122023133200 its reverse (2331320221), we get a palindrome (124354453421).
The spelling of 122023133200 in words is "one hundred twenty-two billion, twenty-three million, one hundred thirty-three thousand, two hundred".
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