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2010300110020 = 225307189327209
BaseRepresentation
bin11101010000001111001…
…110010101010011000100
321010011221021022122122101
4131100033032111103010
5230414043312010040
64135304044041444
7265145052665236
oct35201716252304
97104837278571
102010300110020
11705622004a04
12285739533284
1311775548a727
146d428814256
153745c3bc09a
hex1d40f3954c4

2010300110020 has 24 divisors (see below), whose sum is σ = 4221656875800. Its totient is φ = 804114968832.

The previous prime is 2010300110009. The next prime is 2010300110029. The reversal of 2010300110020 is 200110030102.

It can be written as a sum of positive squares in 4 ways, for example, as 826630092864 + 1183670017156 = 909192^2 + 1087966^2 .

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 = 2010300109979 and 2010300110006.

It is not an unprimeable number, because it can be changed into a prime (2010300110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5980176 + ... + 6307384.

It is an arithmetic number, because the mean of its divisors is an integer number (175902369825).

Almost surely, 22010300110020 is an apocalyptic number.

2010300110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010300110020 is an abundant number, since it is smaller than the sum of its proper divisors (2211356765780).

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

2010300110020 is a wasteful number, since it uses less digits than its factorization.

2010300110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634407 (or 634405 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 2010300110020 its reverse (200110030102), we get a palindrome (2210410140122).

The spelling of 2010300110020 in words is "two trillion, ten billion, three hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 307189 327209 614378 654418 1228756 1308836 1535945 1636045 3071890 3272090 6143780 6544180 100515005501 201030011002 402060022004 502575027505 1005150055010 2010300110020