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20201322300 = 22352550112241
BaseRepresentation
bin10010110100000101…
…111011011100111100
31221010212100111112020
4102310011323130330
5312333014303200
613140320240140
71313415256245
oct226405733474
957125314466
1020201322300
118627135495
123ab9470050
131b9c305a63
14d98d2dccc
157d3786ea0
hex4b417b73c

20201322300 has 72 divisors (see below), whose sum is σ = 58464560112. Its totient is φ = 5385600000.

The previous prime is 20201322269. The next prime is 20201322307. The reversal of 20201322300 is 322310202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20201322300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201322307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1644180 + ... + 1656420.

Almost surely, 220201322300 is an apocalyptic number.

20201322300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201322300 is an abundant number, since it is smaller than the sum of its proper divisors (38263237812).

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

20201322300 is a wasteful number, since it uses less digits than its factorization.

20201322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17759 (or 17752 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20201322300 its reverse (322310202), we get a palindrome (20523632502).

The spelling of 20201322300 in words is "twenty billion, two hundred one million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 5501 11002 12241 16503 22004 24482 27505 33006 36723 48964 55010 61205 66012 73446 82515 110020 122410 137525 146892 165030 183615 244820 275050 306025 330060 367230 412575 550100 612050 734460 825150 918075 1224100 1650300 1836150 3672300 67337741 134675482 202013223 269350964 336688705 404026446 673377410 808052892 1010066115 1346754820 1683443525 2020132230 3366887050 4040264460 5050330575 6733774100 10100661150 20201322300