Base | Representation |
---|---|
bin | 1000100111011101… |
… | …1010000001111100 |
3 | 12222012022201210200 |
4 | 2021313122001330 |
5 | 14214112100012 |
6 | 1021303403500 |
7 | 111214126236 |
oct | 21167320174 |
9 | 5865281720 |
10 | 2313003132 |
11 | a876a2540 |
12 | 546753590 |
13 | 2ab27890b |
14 | 17d295256 |
15 | d80de3dc |
hex | 89dda07c |
2313003132 has 72 divisors (see below), whose sum is σ = 6392738352. Its totient is φ = 699321600.
The previous prime is 2313003131. The next prime is 2313003149.
2313003132 is a `hidden beast` number, since 231 + 300 + 3 + 132 = 666.
2313003132 is nontrivially palindromic in base 10.
2313003132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2313003131) 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, 174582 + ... + 187362.
Almost surely, 22313003132 is an apocalyptic number.
2313003132 is a gapful number since it is divisible by the number (22) 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 2313003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196369176).
2313003132 is an abundant number, since it is smaller than the sum of its proper divisors (4079735220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2313003132 is a wasteful number, since it uses less digits than its factorization.
2313003132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13259 (or 13254 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 2313003132 is about 48093.6911870985. The cubic root of 2313003132 is about 1322.4890158381.
It can be divided in two parts, 231300 and 3132, that added together give a palindrome (234432).
The spelling of 2313003132 in words is "two billion, three hundred thirteen million, three thousand, one hundred thirty-two".
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