Base | Representation |
---|---|
bin | 10111000010100100111111… |
… | …100100101101001000110000 |
3 | 111021210021012100002200110000 |
4 | 113002210333210231020300 |
5 | 101240211401340014300 |
6 | 555303214523110000 |
7 | 30226004060254002 |
oct | 2702447744551060 |
9 | 437707170080400 |
10 | 101332230001200 |
11 | 2a3188371232a0 |
12 | b446a46972300 |
13 | 447078560c4c3 |
14 | 1b04712a52372 |
15 | baad3ceb4c00 |
hex | 5c293f92d230 |
101332230001200 has 1200 divisors, whose sum is σ = 407364410509056. Its totient is φ = 23911150233600.
The previous prime is 101332230001193. The next prime is 101332230001207. The reversal of 101332230001200 is 2100032233101.
101332230001200 is a `hidden beast` number, since 10 + 1 + 332 + 2 + 300 + 0 + 1 + 20 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (101332230001193) and next prime (101332230001207).
It is a tau number, because it is divible by the number of its divisors (1200).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (101332230001207) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4490272317 + ... + 4490294883.
Almost surely, 2101332230001200 is an apocalyptic number.
101332230001200 is a gapful number since it is divisible by the number (10) 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 101332230001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203682205254528).
101332230001200 is an abundant number, since it is smaller than the sum of its proper divisors (306032180507856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101332230001200 is a wasteful number, since it uses less digits than its factorization.
101332230001200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22944 (or 22924 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 101332230001200 its reverse (2100032233101), we get a palindrome (103432262234301).
The spelling of 101332230001200 in words is "one hundred one trillion, three hundred thirty-two billion, two hundred thirty million, one thousand, two hundred".
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