Search a number
-
+
20010220100200 = 235211172292579091
BaseRepresentation
bin1001000110010111111100…
…00011111001101001101000
32121211221212122101101111101
410203023332003321221220
510110321412321201300
6110320322422211144
74133455623315241
oct443137603715150
977757778341441
1020010220100200
116415317643640
1222b2146283ab4
13b21c567753c5
144d26dd715cc8
1524a7a221db6a
hex1232fe0f9a68

20010220100200 has 384 divisors, whose sum is σ = 54189316483200. Its totient is φ = 6791233536000.

The previous prime is 20010220100173. The next prime is 20010220100209. The reversal of 20010220100200 is 200102201002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20010220100209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2201097655 + ... + 2201106745.

It is an arithmetic number, because the mean of its divisors is an integer number (141118011675).

Almost surely, 220010220100200 is an apocalyptic number.

20010220100200 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 20010220100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27094658241600).

20010220100200 is an abundant number, since it is smaller than the sum of its proper divisors (34179096383000).

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

20010220100200 is a wasteful number, since it uses less digits than its factorization.

20010220100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9621 (or 9612 counting only the distinct ones).

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

Adding to 20010220100200 its reverse (200102201002), we get a palindrome (20210322301202).

20010220100200 divided by its reverse (200102201002) gives a square (100 = 102).

It can be divided in two parts, 200102 and 20100200, that added together give a palindrome (20300302).

The spelling of 20010220100200 in words is "twenty trillion, ten billion, two hundred twenty million, one hundred thousand, two hundred".