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2120201020 = 2257294147271
BaseRepresentation
bin111111001011111…
…1011001100111100
312110202112101000201
41332113323030330
513320232413040
6550215133244
7103353261040
oct17627731474
95422471021
102120201020
11998886453
124b2074224
1327a341922
14161828020
15c6207a9a
hex7e5fb33c

2120201020 has 192 divisors, whose sum is σ = 5527388160. Its totient is φ = 667699200.

The previous prime is 2120201009. The next prime is 2120201021. The reversal of 2120201020 is 201020212.

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 = 2120200988 and 2120201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120201021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7823485 + ... + 7823755.

It is an arithmetic number, because the mean of its divisors is an integer number (28788480).

Almost surely, 22120201020 is an apocalyptic number.

2120201020 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 2120201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763694080).

2120201020 is an abundant number, since it is smaller than the sum of its proper divisors (3407187140).

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

2120201020 is a wasteful number, since it uses less digits than its factorization.

2120201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2120201020 is about 46045.6406188469. The cubic root of 2120201020 is about 1284.6722596770.

Adding to 2120201020 its reverse (201020212), we get a palindrome (2321221232).

The spelling of 2120201020 in words is "two billion, one hundred twenty million, two hundred one thousand, twenty".