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210204310200 = 233523111301307
BaseRepresentation
bin1100001111000100100…
…1110011101010111000
3202002120111111100112020
43003301021303222320
511420444300411300
6240322211514440
721121026104343
oct3036111635270
9662514440466
10210204310200
1181168942515
12348a4bb8a20
1316a8c442751
14a26142945a
15570423d8a0
hex30f1273ab8

210204310200 has 96 divisors (see below), whose sum is σ = 672653852160. Its totient is φ = 54246268800.

The previous prime is 210204310171. The next prime is 210204310207. The reversal of 210204310200 is 2013402012.

210204310200 is digitally balanced in base 2, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210204310200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210204310207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5632054 + ... + 5669253.

It is an arithmetic number, because the mean of its divisors is an integer number (7006810960).

Almost surely, 2210204310200 is an apocalyptic number.

210204310200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210204310200 is an abundant number, since it is smaller than the sum of its proper divisors (462449541960).

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

210204310200 is a wasteful number, since it uses less digits than its factorization.

210204310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301357 (or 11301348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 210204310200 its reverse (2013402012), we get a palindrome (212217712212).

The spelling of 210204310200 in words is "two hundred ten billion, two hundred four million, three hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 11301307 22602614 33903921 45205228 56506535 67807842 90410456 113013070 135615684 169519605 226026140 271231368 282532675 339039210 350340517 452052280 565065350 678078420 700681034 847598025 1051021551 1130130700 1356156840 1401362068 1695196050 1751702585 2102043102 2260261400 2802724136 3390392100 3503405170 4204086204 5255107755 6780784200 7006810340 8408172408 8758512925 10510215510 14013620680 17517025850 21020431020 26275538775 35034051700 42040862040 52551077550 70068103400 105102155100 210204310200