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20031131232 = 2532710198377
BaseRepresentation
bin10010101001111100…
…101100111001100000
31220201000002220021100
4102221330230321200
5312010432144412
613111400354400
71306250543340
oct225174547140
956630086240
1020031131232
11854a062412
123a70475a00
131b72c87798
14d804aad20
157c3869edc
hex4a9f2ce60

20031131232 has 144 divisors (see below), whose sum is σ = 65746410912. Its totient is φ = 5666457600.

The previous prime is 20031131221. The next prime is 20031131233. The reversal of 20031131232 is 23213113002.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20031131233) 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 23 ways as a sum of consecutive naturals, for example, 154428 + ... + 252804.

It is an arithmetic number, because the mean of its divisors is an integer number (456572298).

Almost surely, 220031131232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32873205456).

20031131232 is an abundant number, since it is smaller than the sum of its proper divisors (45715279680).

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

20031131232 is a wasteful number, since it uses less digits than its factorization.

20031131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98501 (or 98490 counting only the distinct ones).

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

Adding to 20031131232 its reverse (23213113002), we get a palindrome (43244244234).

The spelling of 20031131232 in words is "twenty billion, thirty-one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 126 144 168 202 224 252 288 303 336 404 504 606 672 707 808 909 1008 1212 1414 1616 1818 2016 2121 2424 2828 3232 3636 4242 4848 5656 6363 7272 8484 9696 11312 12726 14544 16968 22624 25452 29088 33936 50904 67872 98377 101808 196754 203616 295131 393508 590262 688639 787016 885393 1180524 1377278 1574032 1770786 2065917 2361048 2754556 3148064 3541572 4131834 4722096 5509112 6197751 7083144 8263668 9444192 9936077 11018224 12395502 14166288 16527336 19872154 22036448 24791004 28332576 29808231 33054672 39744308 49582008 59616462 66109344 69552539 79488616 89424693 99164016 119232924 139105078 158977232 178849386 198328032 208657617 238465848 278210156 317954464 357698772 417315234 476931696 556420312 625972851 715397544 834630468 953863392 1112840624 1251945702 1430795088 1669260936 2225681248 2503891404 2861590176 3338521872 5007782808 6677043744 10015565616 20031131232