Search a number
-
+
10021232232 = 233211107118253
BaseRepresentation
bin10010101010100111…
…11101111001101000
3221212101201100021100
421111103331321220
5131010413412412
64334221441400
7503223032334
oct112523757150
927771640240
1010021232232
1142827a7110
121b38110260
13c3921271b
146b0ccc7c4
153d9ba3edc
hex2554fde68

10021232232 has 96 divisors (see below), whose sum is σ = 29885150880. Its totient is φ = 3008330880.

The previous prime is 10021232197. The next prime is 10021232261. The reversal of 10021232232 is 23223212001.

10021232232 is a `hidden beast` number, since 100 + 212 + 322 + 32 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 25618 + ... + 143870.

It is an arithmetic number, because the mean of its divisors is an integer number (311303655).

Almost surely, 210021232232 is an apocalyptic number.

10021232232 is a gapful number since it is divisible by the number (12) 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 10021232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942575440).

10021232232 is an abundant number, since it is smaller than the sum of its proper divisors (19863918648).

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

10021232232 is a wasteful number, since it uses less digits than its factorization.

10021232232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118383 (or 118376 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10021232232 its reverse (23223212001), we get a palindrome (33244444233).

The spelling of 10021232232 in words is "ten billion, twenty-one million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 107 132 198 214 264 321 396 428 642 792 856 963 1177 1284 1926 2354 2568 3531 3852 4708 7062 7704 9416 10593 14124 21186 28248 42372 84744 118253 236506 354759 473012 709518 946024 1064277 1300783 1419036 2128554 2601566 2838072 3902349 4257108 5203132 7804698 8514216 10406264 11707047 12653071 15609396 23414094 25306142 31218792 37959213 46828188 50612284 75918426 93656376 101224568 113877639 139183781 151836852 227755278 278367562 303673704 417551343 455510556 556735124 835102686 911021112 1113470248 1252654029 1670205372 2505308058 3340410744 5010616116 10021232232