Search a number
-
+
210001021200 = 2434526796739
BaseRepresentation
bin1100001110010100001…
…0010100100100010000
3202002001022222012110000
43003211002110210100
511420040230134300
6240250110410000
721113010141135
oct3034502244420
9662038865400
10210001021200
1181074113483
1234848b00900
1316a592a63b9
14a24242c58c
1556e1484c00
hex30e5094910

210001021200 has 300 divisors, whose sum is σ = 764933627920. Its totient is φ = 55163877120.

The previous prime is 210001021177. The next prime is 210001021231. The reversal of 210001021200 is 2120100012.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2122431 + ... + 2219169.

Almost surely, 2210001021200 is an apocalyptic number.

210001021200 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 210001021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382466813960).

210001021200 is an abundant number, since it is smaller than the sum of its proper divisors (554932606720).

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

210001021200 is a wasteful number, since it uses less digits than its factorization.

210001021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96836 (or 96816 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210001021200 its reverse (2120100012), we get a palindrome (212121121212).

The spelling of 210001021200 in words is "two hundred ten billion, one million, twenty-one thousand, two hundred".