| Base | Representation |
|---|---|
| bin | 1001001101110001000011… |
| … | …1001101111101110010000 |
| 3 | 1022212121202021011222012220 |
| 4 | 2103130100321233232100 |
| 5 | 2312001031011040100 |
| 6 | 33314343331221040 |
| 7 | 2064010111050030 |
| oct | 223342071575620 |
| 9 | 38777667158186 |
| 10 | 10132111424400 |
| 11 | 3257005834599 |
| 12 | 1177807747780 |
| 13 | 5865b95babb4 |
| 14 | 27057abb98c0 |
| 15 | 12885d328aa0 |
| hex | 93710e6fb90 |
10132111424400 has 240 divisors, whose sum is σ = 37196512128000. Its totient is φ = 2309459489280.
The previous prime is 10132111424389. The next prime is 10132111424401. The reversal of 10132111424400 is 442411123101.
It is a happy number.
10132111424400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (10132111424401) 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, 1335651 + ... + 4695549.
It is an arithmetic number, because the mean of its divisors is an integer number (154985467200).
Almost surely, 210132111424400 is an apocalyptic number.
10132111424400 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 10132111424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18598256064000).
10132111424400 is an abundant number, since it is smaller than the sum of its proper divisors (27064400703600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10132111424400 is a wasteful number, since it uses less digits than its factorization.
10132111424400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3360286 (or 3360275 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 24.
Adding to 10132111424400 its reverse (442411123101), we get a palindrome (10574522547501).
The spelling of 10132111424400 in words is "ten trillion, one hundred thirty-two billion, one hundred eleven million, four hundred twenty-four thousand, four hundred".
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