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210121312200 = 23352487719101
BaseRepresentation
bin1100001110110000110…
…1001100011111001000
3202002100201022121200020
43003230031030133020
511420312023442300
6240310044540440
721116000453562
oct3035415143710
9662321277606
10210121312200
1181126003928
1234881251720
1316a781a28c7
14a2543c2332
1556ebce68a0
hex30ec34c7c8

210121312200 has 96 divisors (see below), whose sum is σ = 652714503360. Its totient is φ = 55917216000.

The previous prime is 210121312183. The next prime is 210121312211. The reversal of 210121312200 is 2213121012.

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 210121312200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67351 + ... + 651750.

It is an arithmetic number, because the mean of its divisors is an integer number (6799109410).

Almost surely, 2210121312200 is an apocalyptic number.

210121312200 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 210121312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326357251680).

210121312200 is an abundant number, since it is smaller than the sum of its proper divisors (442593191160).

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

210121312200 is a wasteful number, since it uses less digits than its factorization.

210121312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719607 (or 719598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 210121312200 its reverse (2213121012), we get a palindrome (212334433212).

The spelling of 210121312200 in words is "two hundred ten billion, one hundred twenty-one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 487 600 974 1461 1948 2435 2922 3896 4870 5844 7305 9740 11688 12175 14610 19480 24350 29220 36525 48700 58440 73050 97400 146100 292200 719101 1438202 2157303 2876404 3595505 4314606 5752808 7191010 8629212 10786515 14382020 17258424 17977525 21573030 28764040 35955050 43146060 53932575 71910100 86292120 107865150 143820200 215730300 350202187 431460600 700404374 1050606561 1400808748 1751010935 2101213122 2801617496 3502021870 4202426244 5253032805 7004043740 8404852488 8755054675 10506065610 14008087480 17510109350 21012131220 26265164025 35020218700 42024262440 52530328050 70040437400 105060656100 210121312200