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20311012200 = 2335264752321
BaseRepresentation
bin10010111010101000…
…010111001101101000
31221102111202022210010
4102322220113031220
5313044104342300
613155235251520
71316216520003
oct227250271550
957374668703
1020311012200
1186830450a6
123b2a149ba0
131bb8c5cc1b
14da972453a
157dd202a50
hex4baa17368

20311012200 has 96 divisors (see below), whose sum is σ = 63062660160. Its totient is φ = 5407795200.

The previous prime is 20311012177. The next prime is 20311012207. The reversal of 20311012200 is 221011302.

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

It is not an unprimeable number, because it can be changed into a prime (20311012207) 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 23 ways as a sum of consecutive naturals, for example, 362040 + ... + 414360.

It is an arithmetic number, because the mean of its divisors is an integer number (656902710).

Almost surely, 220311012200 is an apocalyptic number.

20311012200 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 20311012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31531330080).

20311012200 is an abundant number, since it is smaller than the sum of its proper divisors (42751647960).

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

20311012200 is a wasteful number, since it uses less digits than its factorization.

20311012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52987 (or 52978 counting only the distinct ones).

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

Adding to 20311012200 its reverse (221011302), we get a palindrome (20532023502).

The spelling of 20311012200 in words is "twenty billion, three hundred eleven million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 647 1294 1941 2588 3235 3882 5176 6470 7764 9705 12940 15528 16175 19410 25880 32350 38820 48525 52321 64700 77640 97050 104642 129400 156963 194100 209284 261605 313926 388200 418568 523210 627852 784815 1046420 1255704 1308025 1569630 2092840 2616050 3139260 3924075 5232100 6278520 7848150 10464200 15696300 31392600 33851687 67703374 101555061 135406748 169258435 203110122 270813496 338516870 406220244 507775305 677033740 812440488 846292175 1015550610 1354067480 1692584350 2031101220 2538876525 3385168700 4062202440 5077753050 6770337400 10155506100 20311012200