| Base | Representation |
|---|---|
| bin | 101110100111111101… |
| … | …1000010010100000000 |
| 3 | 100120102220002021220000 |
| 4 | 1131033323002110000 |
| 5 | 3120024012430330 |
| 6 | 113555152520000 |
| 7 | 10143123340020 |
| oct | 1351773022400 |
| 9 | 316386067800 |
| 10 | 100125123840 |
| 11 | 39510027535 |
| 12 | 174a3850000 |
| 13 | 959870b911 |
| 14 | 4bbb911a80 |
| 15 | 2910203560 |
| hex | 174fec2500 |
100125123840 has 1440 divisors, whose sum is σ = 442334027520. Its totient is φ = 21116878848.
The previous prime is 100125123829. The next prime is 100125123841. The reversal of 100125123840 is 48321521001.
100125123840 is a `hidden beast` number, since 100 + 1 + 2 + 512 + 3 + 8 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100125123841) by changing a digit.
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 159 ways as a sum of consecutive naturals, for example, 730840252 + ... + 730840388.
It is an arithmetic number, because the mean of its divisors is an integer number (307176408).
Almost surely, 2100125123840 is an apocalyptic number.
100125123840 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 100125123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221167013760).
100125123840 is an abundant number, since it is smaller than the sum of its proper divisors (342208903680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100125123840 is a wasteful number, since it uses less digits than its factorization.
100125123840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 249 (or 226 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
Adding to 100125123840 its reverse (48321521001), we get a palindrome (148446644841).
The spelling of 100125123840 in words is "one hundred billion, one hundred twenty-five million, one hundred twenty-three thousand, eight hundred forty".
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