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10221120 = 263357132
BaseRepresentation
bin100110111111…
…011001000000
3201020021202000
4212333121000
510104033440
61003024000
7152610120
oct46773100
921207660
1010221120
115851308
12350b000
13216b400
141500c80
15d6d730
hex9bf640

10221120 has 336 divisors, whose sum is σ = 44622720. Its totient is φ = 2156544.

The previous prime is 10221091. The next prime is 10221149. The reversal of 10221120 is 2112201.

10221120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10221091) and next prime (10221149).

It is a tau number, because it is divible by the number of its divisors (336).

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

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 47 ways as a sum of consecutive naturals, for example, 786234 + ... + 786246.

Almost surely, 210221120 is an apocalyptic number.

10221120 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 10221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311360).

10221120 is an abundant number, since it is smaller than the sum of its proper divisors (34401600).

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

10221120 is a wasteful number, since it uses less digits than its factorization.

10221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

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

The square root of 10221120 is about 3197.0486389794. The cubic root of 10221120 is about 217.0198683557.

Adding to 10221120 its reverse (2112201), we get a palindrome (12333321).

The spelling of 10221120 in words is "ten million, two hundred twenty-one thousand, one hundred twenty".