| Base | Representation |
|---|---|
| bin | 101110101000110011… |
| … | …1100011100000000000 |
| 3 | 100120111212121120111200 |
| 4 | 1131101213203200000 |
| 5 | 3120103303240303 |
| 6 | 114002050341200 |
| 7 | 10143620211216 |
| oct | 1352147434000 |
| 9 | 316455546450 |
| 10 | 100153571328 |
| 11 | 39525097558 |
| 12 | 174b128a800 |
| 13 | 95a158c055 |
| 14 | 4bc15d8cb6 |
| 15 | 29129723a3 |
| hex | 17519e3800 |
100153571328 has 144 divisors (see below), whose sum is σ = 291002952240. Its totient is φ = 33183596544.
The previous prime is 100153571317. The next prime is 100153571339. The reversal of 100153571328 is 823175351001.
It is a happy number.
100153571328 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 53 + 571 + 32 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (100153571317) and next prime (100153571339).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 100153571292 and 100153571301.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3061876 + ... + 3094412.
It is an arithmetic number, because the mean of its divisors is an integer number (2020853835).
Almost surely, 2100153571328 is an apocalyptic number.
100153571328 is a gapful number since it is divisible by the number (18) 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 100153571328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145501476120).
100153571328 is an abundant number, since it is smaller than the sum of its proper divisors (190849380912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100153571328 is a wasteful number, since it uses less digits than its factorization.
100153571328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32732 (or 32709 counting only the distinct ones).
The product of its (nonzero) digits is 25200, while the sum is 36.
The spelling of 100153571328 in words is "one hundred billion, one hundred fifty-three million, five hundred seventy-one thousand, three hundred twenty-eight".
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