| Base | Representation |
|---|---|
| bin | 101111011111110101… |
| … | …1001000000010110000 |
| 3 | 100202021112222221010020 |
| 4 | 1132333223020002300 |
| 5 | 3132344000014300 |
| 6 | 114505210003440 |
| 7 | 10240440463536 |
| oct | 1367753100260 |
| 9 | 322245887106 |
| 10 | 102000001200 |
| 11 | 3a292383659 |
| 12 | 17927716580 |
| 13 | 9806c874c6 |
| 14 | 4d1891a156 |
| 15 | 29beaec8a0 |
| hex | 17bfac80b0 |
102000001200 has 120 divisors (see below), whose sum is σ = 327581451600. Its totient is φ = 27129953280.
The previous prime is 102000001141. The next prime is 102000001237. The reversal of 102000001200 is 2100000201.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (120).
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 pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357546 + ... + 576054.
It is an arithmetic number, because the mean of its divisors is an integer number (2729845430).
Almost surely, 2102000001200 is an apocalyptic number.
102000001200 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 102000001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163790725800).
102000001200 is an abundant number, since it is smaller than the sum of its proper divisors (225581450400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102000001200 is a wasteful number, since it uses less digits than its factorization.
102000001200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 218919 (or 218908 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
Adding to 102000001200 its reverse (2100000201), we get a palindrome (104100001401).
Subtracting from 102000001200 its reverse (2100000201), we obtain a palindrome (99900000999).
It can be divided in two parts, 102000001 and 200, that added together give a palindrome (102000201).
The spelling of 102000001200 in words is "one hundred two billion, one thousand, two hundred".
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