Search a number
-
+
20212123220300 = 225211234761674159
BaseRepresentation
bin1001001100010000000000…
…11011001011100101001100
32122120021000121201120222102
410212020000123023211030
510122123412021022200
6110553153214534232
74154164153445324
oct446100033134514
978507017646872
1020212123220300
116492a056a1070
1223252b3207378
13b37cc214b33b
144dc3b4474284
15250b6c7ba6d5
hex1262006cb94c

20212123220300 has 576 divisors, whose sum is σ = 52612312596480. Its totient is φ = 6665307264000.

The previous prime is 20212123220287. The next prime is 20212123220329. The reversal of 20212123220300 is 302232121202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4859849621 + ... + 4859853779.

It is an arithmetic number, because the mean of its divisors is an integer number (91340820480).

Almost surely, 220212123220300 is an apocalyptic number.

20212123220300 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 20212123220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26306156298240).

20212123220300 is an abundant number, since it is smaller than the sum of its proper divisors (32400189376180).

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

20212123220300 is a wasteful number, since it uses less digits than its factorization.

20212123220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20212123220300 its reverse (302232121202), we get a palindrome (20514355341502).

The spelling of 20212123220300 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-three million, two hundred twenty thousand, three hundred".