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20112021300 = 22352753180701
BaseRepresentation
bin10010101110110001…
…010001011100110100
31220220122022112120210
4102232301101130310
5312142134140200
613123410225420
71311252234420
oct225661213464
956818275523
1020112021300
118590791308
123a93585270
131b8696a027
14d8b125b80
157ca9e7650
hex4aec51734

20112021300 has 144 divisors (see below), whose sum is σ = 67758913152. Its totient is φ = 4510272000.

The previous prime is 20112021283. The next prime is 20112021301. The reversal of 20112021300 is 312021102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112021301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20950 + ... + 201650.

It is an arithmetic number, because the mean of its divisors is an integer number (470548008).

Almost surely, 220112021300 is an apocalyptic number.

20112021300 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 20112021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33879456576).

20112021300 is an abundant number, since it is smaller than the sum of its proper divisors (47646891852).

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

20112021300 is a wasteful number, since it uses less digits than its factorization.

20112021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180778 (or 180771 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20112021300 its reverse (312021102), we get a palindrome (20424042402).

The spelling of 20112021300 in words is "twenty billion, one hundred twelve million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 53 60 70 75 84 100 105 106 140 150 159 175 210 212 265 300 318 350 371 420 525 530 636 700 742 795 1050 1060 1113 1325 1484 1590 1855 2100 2226 2650 3180 3710 3975 4452 5300 5565 7420 7950 9275 11130 15900 18550 22260 27825 37100 55650 111300 180701 361402 542103 722804 903505 1084206 1264907 1807010 2168412 2529814 2710515 3614020 3794721 4517525 5059628 5421030 6324535 7589442 9035050 9577153 10842060 12649070 13552575 15178884 18070100 18973605 19154306 25298140 27105150 28731459 31622675 37947210 38308612 47885765 54210300 57462918 63245350 67040071 75894420 94868025 95771530 114925836 126490700 134080142 143657295 189736050 191543060 201120213 239428825 268160284 287314590 335200355 379472100 402240426 478857650 574629180 670400710 718286475 804480852 957715300 1005601065 1340801420 1436572950 1676001775 2011202130 2873145900 3352003550 4022404260 5028005325 6704007100 10056010650 20112021300