Search a number
-
+
2130130330020 = 22325711251612307
BaseRepresentation
bin11110111111110101101…
…010010110000110100100
321112122020110000112202200
4132333311222112012210
5234400001331030040
64310322433334500
7306616421026230
oct36776552260644
97478213015680
102130130330020
11751424047880
122a4a00407430
13125b4143b954
14751553a35c0
153a6224d7630
hex1eff5a961a4

2130130330020 has 288 divisors, whose sum is σ = 8087873504256. Its totient is φ = 440860320000.

The previous prime is 2130130330001. The next prime is 2130130330033. The reversal of 2130130330020 is 200330310312.

2130130330020 is a `hidden beast` number, since 2 + 1 + 301 + 30 + 330 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×21301303300202 (a number of 25 digits) contains 22 as substring.

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 = 2130130329975 and 2130130330002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3172707 + ... + 3785013.

It is an arithmetic number, because the mean of its divisors is an integer number (28082894112).

Almost surely, 22130130330020 is an apocalyptic number.

2130130330020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130130330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043936752128).

2130130330020 is an abundant number, since it is smaller than the sum of its proper divisors (5957743174236).

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

2130130330020 is a wasteful number, since it uses less digits than its factorization.

2130130330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612591 (or 612586 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2130130330020 its reverse (200330310312), we get a palindrome (2330460640332).

The spelling of 2130130330020 in words is "two trillion, one hundred thirty billion, one hundred thirty million, three hundred thirty thousand, twenty".