| Base | Representation |
|---|---|
| bin | 101111001011010001… |
| … | …1011111001100101000 |
| 3 | 100200111110212222220100 |
| 4 | 1132112203133030220 |
| 5 | 3124440343224112 |
| 6 | 114312523425400 |
| 7 | 10214362631223 |
| oct | 1362643371450 |
| 9 | 320443788810 |
| 10 | 101310133032 |
| 11 | 39a68a24479 |
| 12 | 17774685260 |
| 13 | 97270849a4 |
| 14 | 4c9105c5ba |
| 15 | 297e27c2dc |
| hex | 17968df328 |
101310133032 has 96 divisors (see below), whose sum is σ = 280354300200. Its totient is φ = 33038573568.
The previous prime is 101310133021. The next prime is 101310133037. The reversal of 101310133032 is 230331013101.
It is a happy number.
101310133032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 100937102436 + 373030596 = 317706^2 + 19314^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 101310132996 and 101310133014.
It is not an unprimeable number, because it can be changed into a prime (101310133037) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1309444 + ... + 1384652.
Almost surely, 2101310133032 is an apocalyptic number.
101310133032 is a gapful number since it is divisible by the number (12) 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 101310133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140177150100).
101310133032 is an abundant number, since it is smaller than the sum of its proper divisors (179044167168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101310133032 is a wasteful number, since it uses less digits than its factorization.
101310133032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75627 (or 75620 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 101310133032 its reverse (230331013101), we get a palindrome (331641146133).
The spelling of 101310133032 in words is "one hundred one billion, three hundred ten million, one hundred thirty-three thousand, thirty-two".
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