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20211301310100 = 22352237728342871
BaseRepresentation
bin1001001100001110011110…
…11011110101111010010100
32122120011220100011020010220
410212013033123311322110
510122120221113410400
6110552535454314340
74154134613355555
oct446071733657224
978504810136126
1020211301310100
11649262375583a
122325103ab89b0
13b37bc0a96744
144dc33724432c
15250b205667a0
hex1261cf6f5e94

20211301310100 has 72 divisors (see below), whose sum is σ = 58502635466688. Its totient is φ = 5387412729600.

The previous prime is 20211301310027. The next prime is 20211301310107. The reversal of 20211301310100 is 101310311202.

It is a happy number.

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 20211301310100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211301310107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13458336 + ... + 14884535.

It is an arithmetic number, because the mean of its divisors is an integer number (812536603704).

Almost surely, 220211301310100 is an apocalyptic number.

20211301310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211301310100 is an abundant number, since it is smaller than the sum of its proper divisors (38291334156588).

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

20211301310100 is a wasteful number, since it uses less digits than its factorization.

20211301310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28345265 (or 28345258 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 20211301310100 its reverse (101310311202), we get a palindrome (20312611621302).

The spelling of 20211301310100 in words is "twenty trillion, two hundred eleven billion, three hundred one million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2377 4754 7131 9508 11885 14262 23770 28524 35655 47540 59425 71310 118850 142620 178275 237700 356550 713100 28342871 56685742 85028613 113371484 141714355 170057226 283428710 340114452 425143065 566857420 708571775 850286130 1417143550 1700572260 2125715325 2834287100 4251430650 8502861300 67371004367 134742008734 202113013101 269484017468 336855021835 404226026202 673710043670 808452052404 1010565065505 1347420087340 1684275109175 2021130131010 3368550218350 4042260262020 5052825327525 6737100436700 10105650655050 20211301310100