Search a number
-
+
1010221200 = 243352891051
BaseRepresentation
bin111100001101101…
…100000010010000
32121101220112222000
4330031230002100
54032104034300
6244124314000
734014511212
oct7415540220
92541815860
101010221200
1147927515a
122423a2900
131313a8631
149824c5b2
155da4ec00
hex3c36c090

1010221200 has 240 divisors, whose sum is σ = 3639499200. Its totient is φ = 266112000.

The previous prime is 1010221189. The next prime is 1010221229. The reversal of 1010221200 is 21220101.

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 (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960675 + ... + 961725.

It is an arithmetic number, because the mean of its divisors is an integer number (15164580).

Almost surely, 21010221200 is an apocalyptic number.

1010221200 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 1010221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819749600).

1010221200 is an abundant number, since it is smaller than the sum of its proper divisors (2629278000).

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

1010221200 is a wasteful number, since it uses less digits than its factorization.

1010221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1150 counting only the distinct ones).

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

The square root of 1010221200 is about 31783.9770953857. The cubic root of 1010221200 is about 1003.3955240335.

Adding to 1010221200 its reverse (21220101), we get a palindrome (1031441301).

The spelling of 1010221200 in words is "one billion, ten million, two hundred twenty-one thousand, two hundred".