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20244311300 = 22522931673361
BaseRepresentation
bin10010110110101001…
…111010110100000100
31221020212020120100102
4102312221322310010
5312430020430200
613144453503232
71314446543513
oct226651726404
957225216312
1020244311300
118649427794
123b0b941b18
131ba81a7c35
14da092067a
157d74296d5
hex4b6a7ad04

20244311300 has 144 divisors (see below), whose sum is σ = 47625285120. Its totient is φ = 7451136000.

The previous prime is 20244311293. The next prime is 20244311303. The reversal of 20244311300 is 311344202.

It is a super-2 number, since 2×202443113002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20244311303) 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, 6021620 + ... + 6024980.

Almost surely, 220244311300 is an apocalyptic number.

20244311300 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 20244311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23812642560).

20244311300 is an abundant number, since it is smaller than the sum of its proper divisors (27380973820).

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

20244311300 is a wasteful number, since it uses less digits than its factorization.

20244311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3495 counting only the distinct ones).

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

Adding to 20244311300 its reverse (311344202), we get a palindrome (20555655502).

The spelling of 20244311300 in words is "twenty billion, two hundred forty-four million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 67 100 116 124 134 145 155 268 290 310 335 580 620 670 725 775 899 1340 1450 1550 1675 1798 1943 2077 2900 3100 3350 3361 3596 3886 4154 4495 6700 6722 7772 8308 8990 9715 10385 13444 16805 17980 19430 20770 22475 33610 38860 41540 44950 48575 51925 60233 67220 84025 89900 97150 97469 103850 104191 120466 168050 194300 194938 207700 208382 225187 240932 301165 336100 389876 416764 450374 487345 520955 602330 900748 974690 1041910 1125935 1204660 1505825 1949380 2083820 2251870 2436725 2604775 3011650 3021539 4503740 4873450 5209550 5629675 6023300 6043078 6530423 6980797 9746900 10419100 11259350 12086156 13060846 13961594 15107695 22518700 26121692 27923188 30215390 32652115 34903985 60430780 65304230 69807970 75538475 130608460 139615940 151076950 163260575 174519925 202443113 302153900 326521150 349039850 404886226 653042300 698079700 809772452 1012215565 2024431130 4048862260 5061077825 10122155650 20244311300