Base | Representation |
---|---|
bin | 100100011101… |
… | …0000010100100 |
3 | 1022221222212120 |
4 | 1020322002210 |
5 | 14343041400 |
6 | 1521345540 |
7 | 321310260 |
oct | 110720244 |
9 | 38858776 |
10 | 19112100 |
11 | a874227 |
12 | 64982b0 |
13 | 3c62247 |
14 | 27770a0 |
15 | 1a27ca0 |
hex | 123a0a4 |
19112100 has 144 divisors (see below), whose sum is σ = 66662400. Its totient is φ = 4129920.
The previous prime is 19112087. The next prime is 19112101. The reversal of 19112100 is 121191.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 19112100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19112101) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39661 + ... + 40139.
Almost surely, 219112100 is an apocalyptic number.
19112100 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 19112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33331200).
19112100 is an abundant number, since it is smaller than the sum of its proper divisors (47550300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19112100 is a wasteful number, since it uses less digits than its factorization.
19112100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 522 (or 515 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 15.
The square root of 19112100 is about 4371.7387845113. The cubic root of 19112100 is about 267.3639218210.
Adding to 19112100 its reverse (121191), we get a palindrome (19233291).
The spelling of 19112100 in words is "nineteen million, one hundred twelve thousand, one hundred".
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