Base | Representation |
---|---|
bin | 10110101111001100010110… |
… | …011101111110100110100000 |
3 | 111010001220201221102222020110 |
4 | 112233030112131332212200 |
5 | 101101400201212310422 |
6 | 552403224553011320 |
7 | 30030524466360525 |
oct | 2657142635764640 |
9 | 433056657388213 |
10 | 100000100510112 |
11 | 29954893816990 |
12 | b2708333b3b40 |
13 | 43a4c79c0799a |
14 | 1a9a0602d714c |
15 | b8637352560c |
hex | 5af31677e9a0 |
100000100510112 has 192 divisors, whose sum is σ = 303612641998848. Its totient is φ = 28482547200000.
The previous prime is 100000100510111. The next prime is 100000100510119. The reversal of 100000100510112 is 211015001000001.
100000100510112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1000001005101122 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (100000100510111) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9773287 + ... + 17190617.
It is an arithmetic number, because the mean of its divisors is an integer number (1581315843744).
Almost surely, 2100000100510112 is an apocalyptic number.
100000100510112 is a gapful number since it is divisible by the number (12) 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 100000100510112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151806320999424).
100000100510112 is an abundant number, since it is smaller than the sum of its proper divisors (203612541488736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100000100510112 is a wasteful number, since it uses less digits than its factorization.
100000100510112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7418123 (or 7418115 counting only the distinct ones).
The product of its (nonzero) digits is 10, while the sum is 12.
Adding to 100000100510112 its reverse (211015001000001), we get a palindrome (311015101510113).
The spelling of 100000100510112 in words is "one hundred trillion, one hundred million, five hundred ten thousand, one hundred twelve".
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