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11321132020 = 22511435212297
BaseRepresentation
bin10101000101100101…
…01100001111110100
31002012222201002112221
422202302230033310
5141141202211040
65111215052124
7550356014542
oct124262541764
932188632487
1011321132020
11488a536060
12223b511044
1310b5613bb3
147957c4d92
15463d7474a
hex2a2cac3f4

11321132020 has 96 divisors (see below), whose sum is σ = 26601353856. Its totient is φ = 4011571200.

The previous prime is 11321131999. The next prime is 11321132021. The reversal of 11321132020 is 2023112311.

11321132020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11321131985 and 11321132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321132021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927512 + ... + 4929808.

It is an arithmetic number, because the mean of its divisors is an integer number (277097436).

Almost surely, 211321132020 is an apocalyptic number.

11321132020 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 11321132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300676928).

11321132020 is an abundant number, since it is smaller than the sum of its proper divisors (15280221836).

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

11321132020 is a wasteful number, since it uses less digits than its factorization.

11321132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11321132020 its reverse (2023112311), we get a palindrome (13344244331).

It can be divided in two parts, 11321 and 132020, that added together give a palindrome (143341).

The spelling of 11321132020 in words is "eleven billion, three hundred twenty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 521 860 946 1042 1892 2084 2297 2365 2605 4594 4730 5210 5731 9188 9460 10420 11462 11485 22403 22924 22970 25267 28655 44806 45940 50534 57310 89612 98771 101068 112015 114620 126335 197542 224030 246433 252670 395084 448060 492866 493855 505340 985732 987710 1086481 1196737 1232165 1975420 2172962 2393474 2464330 4345924 4786948 4928660 5432405 5983685 10864810 11967370 13164107 21729620 23934740 26328214 51459691 52656428 65820535 102919382 131641070 205838764 257298455 263282140 514596910 566056601 1029193820 1132113202 2264226404 2830283005 5660566010 11321132020