Base | Representation |
---|---|
bin | 10010101011110011… |
… | …11111110010100010 |
3 | 221220002110211110100 |
4 | 21111321333302202 |
5 | 131020441421232 |
6 | 4335215243230 |
7 | 503403543153 |
oct | 112571776242 |
9 | 27802424410 |
10 | 10031201442 |
11 | 4288396129 |
12 | 1b3b519516 |
13 | c3b2c3272 |
14 | 6b236592a |
15 | 3da9c2c7c |
hex | 255e7fca2 |
10031201442 has 48 divisors (see below), whose sum is σ = 22525921080. Its totient is φ = 3222374400.
The previous prime is 10031201431. The next prime is 10031201447. The reversal of 10031201442 is 24410213001.
10031201442 is a `hidden beast` number, since 100 + 3 + 120 + 1 + 442 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 9502155441 + 529046001 = 97479^2 + 23001^2 .
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 (10031201447) 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, 264642 + ... + 300162.
Almost surely, 210031201442 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10031201442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11262960540).
10031201442 is an abundant number, since it is smaller than the sum of its proper divisors (12494719638).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10031201442 is a wasteful number, since it uses less digits than its factorization.
10031201442 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 36099 (or 36096 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 10031201442 its reverse (24410213001), we get a palindrome (34441414443).
The spelling of 10031201442 in words is "ten billion, thirty-one million, two hundred one thousand, four hundred forty-two".
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