Search a number
-
+
10303010020 = 2252227123131
BaseRepresentation
bin10011001100001101…
…10111010011100100
3222121000221010201201
421212012313103210
5132100032310040
64422205132244
7513214066042
oct114606672344
928530833651
1010303010020
114407864a16
121bb655a084
13c82700344
146da4bb392
154047b3a9a
hex2661b74e4

10303010020 has 24 divisors (see below), whose sum is σ = 21638227968. Its totient is φ = 4120840800.

The previous prime is 10303009999. The next prime is 10303010027. The reversal of 10303010020 is 2001030301.

10303010020 is digitally balanced in base 2, because in such base 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 10303009979 and 10303010006.

It is not an unprimeable number, because it can be changed into a prime (10303010027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433855 + ... + 456985.

It is an arithmetic number, because the mean of its divisors is an integer number (901592832).

Almost surely, 210303010020 is an apocalyptic number.

10303010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10303010020 is an abundant number, since it is smaller than the sum of its proper divisors (11335217948).

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

10303010020 is a wasteful number, since it uses less digits than its factorization.

10303010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45411 (or 45409 counting only the distinct ones).

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

Adding to 10303010020 its reverse (2001030301), we get a palindrome (12304040321).

It can be divided in two parts, 103030 and 10020, that added together give a triangular number (113050 = T475).

The spelling of 10303010020 in words is "ten billion, three hundred three million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 22271 23131 44542 46262 89084 92524 111355 115655 222710 231310 445420 462620 515150501 1030301002 2060602004 2575752505 5151505010 10303010020