Search a number
-
+
2120230020 = 2235295383277
BaseRepresentation
bin111111001100000…
…0010010010000100
312110202120211210210
41332120002102010
513320234330040
6550215515420
7103353441426
oct17630022204
95422524723
102120230020
119988a6217
124b2088b70
1327a351b9c
14161834816
15c6211480
hex7e602484

2120230020 has 192 divisors, whose sum is σ = 6355480320. Its totient is φ = 527235072.

The previous prime is 2120229997. The next prime is 2120230039. The reversal of 2120230020 is 200320212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120229978 and 2120230005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7654122 + ... + 7654398.

It is an arithmetic number, because the mean of its divisors is an integer number (33101460).

Almost surely, 22120230020 is an apocalyptic number.

2120230020 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 2120230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177740160).

2120230020 is an abundant number, since it is smaller than the sum of its proper divisors (4235250300).

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

2120230020 is a wasteful number, since it uses less digits than its factorization.

2120230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2120230020 is about 46045.9555227167. The cubic root of 2120230020 is about 1284.6781168772.

Adding to 2120230020 its reverse (200320212), we get a palindrome (2320550232).

The spelling of 2120230020 in words is "two billion, one hundred twenty million, two hundred thirty thousand, twenty".