Base | Representation |
---|---|
bin | 10011000001100001… |
… | …01100101001101010 |
3 | 222100210011001201200 |
4 | 21200300230221222 |
5 | 131404102010010 |
6 | 4405242425030 |
7 | 511044505056 |
oct | 114060545152 |
9 | 28323131650 |
10 | 10213313130 |
11 | 4371170359 |
12 | 1b90502176 |
13 | c69c56367 |
14 | 6cc60cc66 |
15 | 3eb996cc0 |
hex | 260c2ca6a |
10213313130 has 96 divisors (see below), whose sum is σ = 27906937344. Its totient is φ = 2588277888.
The previous prime is 10213313111. The next prime is 10213313137. The reversal of 10213313130 is 3131331201.
It is a happy number.
10213313130 is a `hidden beast` number, since 1 + 0 + 21 + 331 + 313 + 0 = 666.
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 (10213313137) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107527 + ... + 178853.
It is an arithmetic number, because the mean of its divisors is an integer number (290697264).
Almost surely, 210213313130 is an apocalyptic number.
10213313130 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 10213313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953468672).
10213313130 is an abundant number, since it is smaller than the sum of its proper divisors (17693624214).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10213313130 is a wasteful number, since it uses less digits than its factorization.
10213313130 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 71420 (or 71417 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 10213313130 its reverse (3131331201), we get a palindrome (13344644331).
The spelling of 10213313130 in words is "ten billion, two hundred thirteen million, three hundred thirteen thousand, one hundred thirty".
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