| Base | Representation |
|---|---|
| bin | 1110010011100… |
| … | …01011000110100 |
| 3 | 22100210201221020 |
| 4 | 13021301120310 |
| 5 | 221210031400 |
| 6 | 15524021140 |
| 7 | 2655000231 |
| oct | 711613064 |
| 9 | 270721836 |
| 10 | 120002100 |
| 11 | 61813399 |
| 12 | 342317b0 |
| 13 | 1bb27b7a |
| 14 | 11d1a788 |
| 15 | a8062a0 |
| hex | 7271634 |
120002100 has 144 divisors (see below), whose sum is σ = 376017600. Its totient is φ = 29445120.
The previous prime is 120002089. The next prime is 120002111. The reversal of 120002100 is 1200021.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (120002089) and next prime (120002111).
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 a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210616 + ... + 211184.
Almost surely, 2120002100 is an apocalyptic number.
120002100 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 120002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188008800).
120002100 is an abundant number, since it is smaller than the sum of its proper divisors (256015500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120002100 is a wasteful number, since it uses less digits than its factorization.
120002100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 642 (or 635 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 120002100 is about 10954.5470011315. The cubic root of 120002100 is about 493.2452920967.
Adding to 120002100 its reverse (1200021), we get a palindrome (121202121).
Multiplying 120002100 by its reverse (1200021), we get a square (144005040044100 = 120002102).
120002100 divided by its reverse (1200021) gives a square (100 = 102).
The spelling of 120002100 in words is "one hundred twenty million, two thousand, one hundred".
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