Search a number
-
+
2010131300322 = 2321737917332603
BaseRepresentation
bin11101010000000101001…
…010010111111111100010
321010011111111200020021100
4131100011022113333202
5230413222103102242
64135235213535230
7265140633064545
oct35200512277742
97104444606240
102010131300322
11705545795762
122856b0aa4516
13117729504132
146d41023085c
153744c67454c
hex1d405297fe2

2010131300322 has 48 divisors (see below), whose sum is σ = 4623645443040. Its totient is φ = 628965461376.

The previous prime is 2010131300299. The next prime is 2010131300323. The reversal of 2010131300322 is 2230031310102.

2010131300322 is a `hidden beast` number, since 2 + 0 + 10 + 1 + 31 + 300 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2010131300295 and 2010131300304.

It is not an unprimeable number, because it can be changed into a prime (2010131300323) 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, 8550328 + ... + 8782275.

It is an arithmetic number, because the mean of its divisors is an integer number (96325946730).

Almost surely, 22010131300322 is an apocalyptic number.

2010131300322 is an abundant number, since it is smaller than the sum of its proper divisors (2613514142718).

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

2010131300322 is a wasteful number, since it uses less digits than its factorization.

2010131300322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17333007 (or 17333004 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2010131300322 its reverse (2230031310102), we get a palindrome (4240162610424).

The spelling of 2010131300322 in words is "two trillion, ten billion, one hundred thirty-one million, three hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 379 758 1137 2274 3411 6443 6822 12886 19329 38658 57987 115974 17332603 34665206 51997809 103995618 155993427 294654251 311986854 589308502 883962753 1767925506 2651888259 5303776518 6569056537 13138113074 19707169611 39414339222 59121508833 111673961129 118243017666 223347922258 335021883387 670043766774 1005065650161 2010131300322