Search a number
-
+
10303020100 = 22521011020101
BaseRepresentation
bin10011001100001101…
…11001110001000100
3222121000221122120001
421212012321301010
5132100033120400
64422205251044
7513214140322
oct114606716104
928530848501
1010303020100
11440787154a
121bb6563a84
13c82704ac9
146da4c0d12
154047b6a6a
hex2661b9c44

10303020100 has 36 divisors (see below), whose sum is σ = 22578937668. Its totient is φ = 4080400000.

The previous prime is 10303020083. The next prime is 10303020107. The reversal of 10303020100 is 102030301.

It can be written as a sum of positive squares in 6 ways, for example, as 2749324356 + 7553695744 = 52434^2 + 86912^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10303020107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499951 + ... + 520150.

It is an arithmetic number, because the mean of its divisors is an integer number (627192713).

Almost surely, 210303020100 is an apocalyptic number.

10303020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10303020100 is an abundant number, since it is smaller than the sum of its proper divisors (12275917568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10303020100 is a wasteful number, since it uses less digits than its factorization.

10303020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020216 (or 1020209 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10303020100 its reverse (102030301), we get a palindrome (10405050401).

The spelling of 10303020100 in words is "ten billion, three hundred three million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 1020101 2040202 4080404 5100505 10201010 20402020 25502525 51005050 102010100 103030201 206060402 412120804 515151005 1030302010 2060604020 2575755025 5151510050 10303020100