Base | Representation |
---|---|
bin | 1011000010000100111001… |
… | …0101111101010110111100 |
3 | 1120221122102121022201020000 |
4 | 2300201032111331112330 |
5 | 3042220324304214400 |
6 | 41444330034354300 |
7 | 2361246122643462 |
oct | 260411625752674 |
9 | 46848377281200 |
10 | 12130302023100 |
11 | 395748328a3a8 |
12 | 143ab2572b990 |
13 | 69cb6201ccc1 |
14 | 2dd177226832 |
15 | 16080c542600 |
hex | b084e57d5bc |
12130302023100 has 180 divisors, whose sum is σ = 39333393298584. Its totient is φ = 3233780910720.
The previous prime is 12130302023083. The next prime is 12130302023117. The reversal of 12130302023100 is 132020303121.
12130302023100 is a `hidden beast` number, since 1 + 2 + 130 + 302 + 0 + 231 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (12130302023083) and next prime (12130302023117).
It is a tau number, because it is divible by the number of its divisors (180).
It is a super-2 number, since 2×121303020231002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27099307 + ... + 27543293.
Almost surely, 212130302023100 is an apocalyptic number.
12130302023100 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 12130302023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19666696649292).
12130302023100 is an abundant number, since it is smaller than the sum of its proper divisors (27203091275484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12130302023100 is a wasteful number, since it uses less digits than its factorization.
12130302023100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 447386 (or 447370 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 12130302023100 its reverse (132020303121), we get a palindrome (12262322326221).
The spelling of 12130302023100 in words is "twelve trillion, one hundred thirty billion, three hundred two million, twenty-three thousand, one hundred".
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