| Base | Representation |
|---|---|
| bin | 101111001011010101… |
| … | …1000010101000110000 |
| 3 | 100200111121121121011220 |
| 4 | 1132112223002220300 |
| 5 | 3124441400110300 |
| 6 | 114313034105040 |
| 7 | 10214415516264 |
| oct | 1362653025060 |
| 9 | 320447547156 |
| 10 | 101312113200 |
| 11 | 39a6a057181 |
| 12 | 1777527b180 |
| 13 | 97275c909c |
| 14 | 4c914160a4 |
| 15 | 297e51dda0 |
| hex | 1796ac2a30 |
101312113200 has 120 divisors (see below), whose sum is σ = 324683552256. Its totient is φ = 27004320000.
The previous prime is 101312113183. The next prime is 101312113211. The reversal of 101312113200 is 2311213101.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×1013121132002 (a number of 23 digits) contains 22 as substring.
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 101312113200.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2803245 + ... + 2839155.
Almost surely, 2101312113200 is an apocalyptic number.
101312113200 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 101312113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162341776128).
101312113200 is an abundant number, since it is smaller than the sum of its proper divisors (223371439056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101312113200 is a wasteful number, since it uses less digits than its factorization.
101312113200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38283 (or 38272 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
Adding to 101312113200 its reverse (2311213101), we get a palindrome (103623326301).
Subtracting from 101312113200 its reverse (2311213101), we obtain a palindrome (99000900099).
The spelling of 101312113200 in words is "one hundred one billion, three hundred twelve million, one hundred thirteen thousand, two hundred".
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