Base | Representation |
---|---|
bin | 10011000001011111… |
… | …01000010001001000 |
3 | 222100202121211111200 |
4 | 21200233220101020 |
5 | 131404014024112 |
6 | 4405232424200 |
7 | 511042230336 |
oct | 114057502110 |
9 | 28322554450 |
10 | 10213033032 |
11 | 4370a99974 |
12 | 1b903a8060 |
13 | c69b88a17 |
14 | 6cc578b56 |
15 | 3eb93dcdc |
hex | 260be8448 |
10213033032 has 72 divisors (see below), whose sum is σ = 27764831250. Its totient is φ = 3391524864.
The previous prime is 10213033027. The next prime is 10213033063. The reversal of 10213033032 is 23033031201.
It can be written as a sum of positive squares in 3 ways, for example, as 6197783076 + 4015249956 = 78726^2 + 63366^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×102130330322 (a number of 21 digits) contains 22 as substring.
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 = 10213032996 and 10213033014.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8176344 + ... + 8177592.
Almost surely, 210213033032 is an apocalyptic number.
10213033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10213033032 is an abundant number, since it is smaller than the sum of its proper divisors (17551798218).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10213033032 is a wasteful number, since it uses less digits than its factorization.
10213033032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1935 (or 1591 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 10213033032 its reverse (23033031201), we get a palindrome (33246064233).
The spelling of 10213033032 in words is "ten billion, two hundred thirteen million, thirty-three thousand, thirty-two".
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