Search a number
-
+
20020202211200 = 275217232695687
BaseRepresentation
bin1001000110101010100010…
…00010101000011110000000
32121212220122022111011112012
410203111101002220132000
510111002333231224300
6110325053125352052
74134261163002542
oct443252102503600
977786568434465
1020020202211200
11641957a24a354
1222b4071268628
13b22b8783b269
144d2da933d692
1524ab88746435
hex1235510a8780

20020202211200 has 288 divisors, whose sum is σ = 54741163372560. Its totient is φ = 7209310535680.

The previous prime is 20020202211179. The next prime is 20020202211203. The reversal of 20020202211200 is 211220202002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020202211203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28429757 + ... + 29125443.

Almost surely, 220020202211200 is an apocalyptic number.

20020202211200 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 20020202211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27370581686280).

20020202211200 is an abundant number, since it is smaller than the sum of its proper divisors (34720961161360).

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

20020202211200 is a wasteful number, since it uses less digits than its factorization.

20020202211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695774 (or 695734 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20020202211200 its reverse (211220202002), we get a palindrome (20231422413202).

The spelling of 20020202211200 in words is "twenty trillion, twenty billion, two hundred two million, two hundred eleven thousand, two hundred".