Search a number
-
+
20012202202212 = 2233111715134918803
BaseRepresentation
bin1001000110011011101000…
…01101000001010001100100
32121212010222210001121022000
410203031310031001101210
510110334442230432322
6110321251225405300
74133556012024303
oct443156415012144
977763883047260
1020012202202212
116416144476180
1222b25ba039830
13b221b12c402c
144d284aa7243a
1524a86b2483ac
hex123374341464

20012202202212 has 384 divisors, whose sum is σ = 60502546944000. Its totient is φ = 5653234944000.

The previous prime is 20012202202189. The next prime is 20012202202247. The reversal of 20012202202212 is 21220220221002.

20012202202212 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 220 + 220 + 221 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1064299603 + ... + 1064318405.

It is an arithmetic number, because the mean of its divisors is an integer number (157558716000).

Almost surely, 220012202202212 is an apocalyptic number.

20012202202212 is a gapful number since it is divisible by the number (22) 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 20012202202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30251273472000).

20012202202212 is an abundant number, since it is smaller than the sum of its proper divisors (40490344741788).

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

20012202202212 is a wasteful number, since it uses less digits than its factorization.

20012202202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19344 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20012202202212 its reverse (21220220221002), we get a palindrome (41232422423214).

The spelling of 20012202202212 in words is "twenty trillion, twelve billion, two hundred two million, two hundred two thousand, two hundred twelve".