Base | Representation |
---|---|
bin | 110000000011111001… |
… | …0111001111010010100 |
3 | 100212101212211020110100 |
4 | 1200013302321322110 |
5 | 3142333230000040 |
6 | 115225232254100 |
7 | 10312432345101 |
oct | 1400762717224 |
9 | 325355736410 |
10 | 103210000020 |
11 | 3a853399686 |
12 | 180049a1330 |
13 | 996a86cb3a |
14 | 4dd14cdaa8 |
15 | 2a40e60b30 |
hex | 1807cb9e94 |
103210000020 has 72 divisors (see below), whose sum is σ = 321531714504. Its totient is φ = 26778809088.
The previous prime is 103210000013. The next prime is 103210000027. The reversal of 103210000020 is 20000012301.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (103210000013) and next prime (103210000027).
It can be written as a sum of positive squares in 4 ways, for example, as 60144619536 + 43065380484 = 245244^2 + 207522^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 103209999957 and 103210000011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103210000027) 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, 7741839 + ... + 7755158.
It is an arithmetic number, because the mean of its divisors is an integer number (4465718257).
Almost surely, 2103210000020 is an apocalyptic number.
103210000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
103210000020 is an abundant number, since it is smaller than the sum of its proper divisors (218321714484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103210000020 is a wasteful number, since it uses less digits than its factorization.
103210000020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15497049 (or 15497044 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 103210000020 its reverse (20000012301), we get a palindrome (123210012321).
The spelling of 103210000020 in words is "one hundred three billion, two hundred ten million, twenty", and thus it is an aban number.
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