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215400001200 = 2435210916310103
BaseRepresentation
bin1100100010011011010…
…1110010111010110000
3202120222121002210200020
43020212311302322300
512012114400014300
6242541533323440
721363545541456
oct3104665627260
9676877083606
10215400001200
118339475a01a
12358b5036580
13174099aa217
14a5d54aa9d6
15590a44c8a0
hex3226d72eb0

215400001200 has 240 divisors, whose sum is σ = 700669559040. Its totient is φ = 56558269440.

The previous prime is 215400001181. The next prime is 215400001259. The reversal of 215400001200 is 2100004512.

215400001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 215400001200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21315349 + ... + 21325451.

It is an arithmetic number, because the mean of its divisors is an integer number (2919456496).

Almost surely, 2215400001200 is an apocalyptic number.

215400001200 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 215400001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350334779520).

215400001200 is an abundant number, since it is smaller than the sum of its proper divisors (485269557840).

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

215400001200 is a wasteful number, since it uses less digits than its factorization.

215400001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396 (or 10385 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 215400001200 its reverse (2100004512), we get a palindrome (217500005712).

The spelling of 215400001200 in words is "two hundred fifteen billion, four hundred million, one thousand, two hundred".