| Base | Representation |
|---|---|
| bin | 1001001101001011011001… |
| … | …0010110011101111010000 |
| 3 | 1022211122122200021010100200 |
| 4 | 2103102312102303233100 |
| 5 | 2311314324320130300 |
| 6 | 33305552213015200 |
| 7 | 2063201425513341 |
| oct | 223226622635720 |
| 9 | 38748580233320 |
| 10 | 10122001333200 |
| 11 | 3252797966419 |
| 12 | 1175865924500 |
| 13 | 585667b65a03 |
| 14 | 26dc9c19a0c8 |
| 15 | 12846a971200 |
| hex | 934b64b3bd0 |
10122001333200 has 360 divisors, whose sum is σ = 36091306743648. Its totient is φ = 2625099217920.
The previous prime is 10122001333183. The next prime is 10122001333217. The reversal of 10122001333200 is 233310022101.
10122001333200 is a `hidden beast` number, since 1 + 0 + 12 + 200 + 133 + 320 + 0 = 666.
10122001333200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10122001333183) and next prime (10122001333217).
It is a tau number, because it is divible by the number of its divisors (360).
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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 328588999 + ... + 328619801.
Almost surely, 210122001333200 is an apocalyptic number.
10122001333200 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 10122001333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045653371824).
10122001333200 is an abundant number, since it is smaller than the sum of its proper divisors (25969305410448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10122001333200 is a wasteful number, since it uses less digits than its factorization.
10122001333200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33331 (or 33317 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10122001333200 its reverse (233310022101), we get a palindrome (10355311355301).
The spelling of 10122001333200 in words is "ten trillion, one hundred twenty-two billion, one million, three hundred thirty-three thousand, two hundred".
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