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1021000200 = 2335211372113
BaseRepresentation
bin111100110110110…
…011101000001000
32122011012011222020
4330312303220020
54042334001300
6245151324440
734205233653
oct7466635010
92564164866
101021000200
11484367620
12245b20720
131336b093c
149985689a
155e97d8a0
hex3cdb3a08

1021000200 has 288 divisors, whose sum is σ = 3580083360. Its totient is φ = 238694400.

The previous prime is 1021000157. The next prime is 1021000217. The reversal of 1021000200 is 20001201.

It is a happy number.

1021000200 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9035344 + ... + 9035456.

It is an arithmetic number, because the mean of its divisors is an integer number (12430845).

Almost surely, 21021000200 is an apocalyptic number.

1021000200 is a gapful number since it is divisible by the number (10) 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 1021000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790041680).

1021000200 is an abundant number, since it is smaller than the sum of its proper divisors (2559083160).

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

1021000200 is a wasteful number, since it uses less digits than its factorization.

1021000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1021000200 is about 31953.0937469285. The cubic root of 1021000200 is about 1006.9516295340.

Adding to 1021000200 its reverse (20001201), we get a palindrome (1041001401).

The spelling of 1021000200 in words is "one billion, twenty-one million, two hundred", and thus it is an aban number.