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10221331320 = 23325173337487
BaseRepresentation
bin10011000010011110…
…10010001101111000
3222101100020102121200
421201033102031320
5131413130100240
64410130334200
7511202611524
oct114117221570
928340212550
1010221331320
114375747562
121b9312a360
13c6b802b55
146cd6d8d84
153ec52c930
hex2613d2378

10221331320 has 192 divisors, whose sum is σ = 33579299520. Its totient is φ = 2696343552.

The previous prime is 10221331303. The next prime is 10221331321. The reversal of 10221331320 is 2313312201.

10221331320 is a `hidden beast` number, since 10 + 2 + 2 + 1 + 331 + 320 = 666.

It is a super-2 number, since 2×102213313202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10221331293 and 10221331302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221331321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20988117 + ... + 20988603.

It is an arithmetic number, because the mean of its divisors is an integer number (174892185).

Almost surely, 210221331320 is an apocalyptic number.

10221331320 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 10221331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16789649760).

10221331320 is an abundant number, since it is smaller than the sum of its proper divisors (23357968200).

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

10221331320 is a wasteful number, since it uses less digits than its factorization.

10221331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10221331320 its reverse (2313312201), we get a palindrome (12534643521).

The spelling of 10221331320 in words is "ten billion, two hundred twenty-one million, three hundred thirty-one thousand, three hundred twenty".