Base | Representation |
---|---|
bin | 110111111000110111… |
… | …1111101110101100100 |
3 | 102110210101210201110220 |
4 | 1233301233331311210 |
5 | 3431300110000400 |
6 | 131045245044340 |
7 | 11446131111510 |
oct | 1576157756544 |
9 | 373711721426 |
10 | 120020000100 |
11 | 4699a185530 |
12 | 1b3165566b0 |
13 | b41939a850 |
14 | 5b47c71140 |
15 | 31c6b067a0 |
hex | 1bf1bfdd64 |
120020000100 has 288 divisors, whose sum is σ = 466249491456. Its totient is φ = 23020761600.
The previous prime is 120020000069. The next prime is 120020000129. The reversal of 120020000100 is 1000020021.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100467 + ... + 500133.
Almost surely, 2120020000100 is an apocalyptic number.
120020000100 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 120020000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233124745728).
120020000100 is an abundant number, since it is smaller than the sum of its proper divisors (346229491356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120020000100 is a wasteful number, since it uses less digits than its factorization.
120020000100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 399715 (or 399708 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
Adding to 120020000100 its reverse (1000020021), we get a palindrome (121020020121).
The spelling of 120020000100 in words is "one hundred twenty billion, twenty million, one hundred", and thus it is an aban number.
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