| Base | Representation |
|---|---|
| bin | 101111001011010101… |
| … | …1000000001110100010 |
| 3 | 100200111121121002122100 |
| 4 | 1132112223000032202 |
| 5 | 3124441344301310 |
| 6 | 114313033551230 |
| 7 | 10214415445434 |
| oct | 1362653001642 |
| 9 | 320447532570 |
| 10 | 101312103330 |
| 11 | 39a6a04a819 |
| 12 | 17775275516 |
| 13 | 97275c4749 |
| 14 | 4c91412654 |
| 15 | 297e51aec0 |
| hex | 1796ac03a2 |
101312103330 has 96 divisors (see below), whose sum is σ = 279277889904. Its totient is φ = 25393471488.
The previous prime is 101312103323. The next prime is 101312103331. The reversal of 101312103330 is 33301213101.
It is a happy number.
101312103330 is a `hidden beast` number, since 10 + 1 + 312 + 10 + 3 + 330 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 84763081881 + 16549021449 = 291141^2 + 128643^2 .
It is a super-2 number, since 2×1013121033302 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (101312103331) 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 47 ways as a sum of consecutive naturals, for example, 1114474 + ... + 1201946.
Almost surely, 2101312103330 is an apocalyptic number.
101312103330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 101312103330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139638944952).
101312103330 is an abundant number, since it is smaller than the sum of its proper divisors (177965786574).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101312103330 is a wasteful number, since it uses less digits than its factorization.
101312103330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 88260 (or 88257 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 101312103330 its reverse (33301213101), we get a palindrome (134613316431).
The spelling of 101312103330 in words is "one hundred one billion, three hundred twelve million, one hundred three thousand, three hundred thirty".
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