Search a number
-
+
32030131122 = 232111398811321
BaseRepresentation
bin11101110101001001…
…010000001110110010
310001200020100020201200
4131311021100032302
51011044203143442
622414152512030
72212510423323
oct356511201662
9101606306650
1032030131122
11126471a0650
12625a9ab616
133035b5c012
14179bd0844a
15c76e8e34c
hex7752503b2

32030131122 has 96 divisors (see below), whose sum is σ = 76396582080. Its totient is φ = 9618048000.

The previous prime is 32030131099. The next prime is 32030131129. The reversal of 32030131122 is 22113103023.

32030131122 is a `hidden beast` number, since 32 + 0 + 301 + 311 + 22 = 666.

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 = 32030131095 and 32030131104.

It is not an unprimeable number, because it can be changed into a prime (32030131129) 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 47 ways as a sum of consecutive naturals, for example, 24246222 + ... + 24247542.

It is an arithmetic number, because the mean of its divisors is an integer number (795797730).

Almost surely, 232030131122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32030131122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38198291040).

32030131122 is an abundant number, since it is smaller than the sum of its proper divisors (44366450958).

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

32030131122 is a wasteful number, since it uses less digits than its factorization.

32030131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2357 counting only the distinct ones).

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

Adding to 32030131122 its reverse (22113103023), we get a palindrome (54143234145).

The spelling of 32030131122 in words is "thirty-two billion, thirty million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 139 198 278 417 834 881 1251 1321 1529 1762 2502 2642 2643 3058 3963 4587 5286 7926 7929 9174 9691 11889 13761 14531 15858 19382 23778 27522 29062 29073 43593 58146 87186 87219 122459 130779 174438 183619 244918 261558 367238 367377 550857 734754 1101714 1102131 1163801 1347049 1652571 2019809 2204262 2327602 2694098 3305142 3491403 4039618 4041147 6059427 6982806 8082294 10474209 12118854 12123441 12801811 18178281 20948418 24246882 25603622 36356562 38405433 76810866 115216299 161768339 230432598 323536678 485305017 970610034 1455915051 1779451729 2911830102 3558903458 5338355187 10676710374 16015065561 32030131122