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200531100 = 223527118681
BaseRepresentation
bin10111111001111…
…01110010011100
3111222100000221210
423330331302130
5402313443400
631522024420
74653325530
oct1374756234
9458300853
10200531100
11a3215a90
12571a8110
1332711c73
141c8bdbc0
1512911950
hexbf3dc9c

200531100 has 144 divisors (see below), whose sum is σ = 723453696. Its totient is φ = 41664000.

The previous prime is 200531077. The next prime is 200531113. The reversal of 200531100 is 1135002.

200531100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18760 + ... + 27440.

It is an arithmetic number, because the mean of its divisors is an integer number (5023984).

Almost surely, 2200531100 is an apocalyptic number.

200531100 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 200531100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361726848).

200531100 is an abundant number, since it is smaller than the sum of its proper divisors (522922596).

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

200531100 is a wasteful number, since it uses less digits than its factorization.

200531100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 200531100 is about 14160.9003951020. The cubic root of 200531100 is about 585.3207387190.

Adding to 200531100 its reverse (1135002), we get a palindrome (201666102).

The spelling of 200531100 in words is "two hundred million, five hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 8681 11550 17362 23100 26043 34724 43405 52086 60767 86810 95491 104172 121534 130215 173620 182301 190982 217025 243068 260430 286473 303835 364602 381964 434050 477455 520860 572946 607670 651075 668437 729204 868100 911505 954910 1145892 1215340 1302150 1336874 1432365 1519175 1823010 1909820 2005311 2387275 2604300 2673748 2864730 3038350 3342185 3646020 4010622 4557525 4774550 5729460 6076700 6684370 7161825 8021244 9115050 9549100 10026555 13368740 14323650 16710925 18230100 20053110 28647300 33421850 40106220 50132775 66843700 100265550 200531100