Base | Representation |
---|---|
bin | 10011001110001001… |
… | …01110110011101000 |
3 | 222122011110002210200 |
4 | 21213010232303220 |
5 | 132113210300021 |
6 | 4423544512200 |
7 | 513501664140 |
oct | 114704566350 |
9 | 28564402720 |
10 | 10319228136 |
11 | 4415a31918 |
12 | 1bbba7b660 |
13 | c85b8b269 |
14 | 6dc6dd920 |
15 | 405e19126 |
hex | 26712ece8 |
10319228136 has 96 divisors (see below), whose sum is σ = 32020747200. Its totient is φ = 2940940800.
The previous prime is 10319228119. The next prime is 10319228203. The reversal of 10319228136 is 63182291301.
10319228136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×103192281363 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 10319228136.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 176575 + ... + 227633.
It is an arithmetic number, because the mean of its divisors is an integer number (333549450).
Almost surely, 210319228136 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10319228136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16010373600).
10319228136 is an abundant number, since it is smaller than the sum of its proper divisors (21701519064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10319228136 is a wasteful number, since it uses less digits than its factorization.
10319228136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51479 (or 51472 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
It can be divided in two parts, 103192 and 28136, that added together give a triangular number (131328 = T512).
The spelling of 10319228136 in words is "ten billion, three hundred nineteen million, two hundred twenty-eight thousand, one hundred thirty-six".
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