Search a number
-
+
32313022112 = 2573110146073
BaseRepresentation
bin11110000110000000…
…011001011010100000
310002101221122121012202
4132012000121122200
51012134113201422
622502220112332
72222514104360
oct360600313240
9102357577182
1032313022112
1112781949858
1263196956a8
13307c649537
1417c77069a0
15c91c1db92
hex7860196a0

32313022112 has 96 divisors (see below), whose sum is σ = 75794310144. Its totient is φ = 13268736000.

The previous prime is 32313022103. The next prime is 32313022117. The reversal of 32313022112 is 21122031323.

It is not an unprimeable number, because it can be changed into a prime (32313022117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678308 + ... + 724380.

It is an arithmetic number, because the mean of its divisors is an integer number (789524064).

Almost surely, 232313022112 is an apocalyptic number.

32313022112 is a gapful number since it is divisible by the number (32) 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 32313022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37897155072).

32313022112 is an abundant number, since it is smaller than the sum of its proper divisors (43481288032).

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

32313022112 is a wasteful number, since it uses less digits than its factorization.

32313022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46222 (or 46214 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 32313022112 its reverse (21122031323), we get a palindrome (53435053435).

The spelling of 32313022112 in words is "thirty-two billion, three hundred thirteen million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 101 112 124 202 217 224 248 404 434 496 707 808 868 992 1414 1616 1736 2828 3131 3232 3472 5656 6262 6944 11312 12524 21917 22624 25048 43834 46073 50096 87668 92146 100192 175336 184292 322511 350672 368584 645022 701344 737168 1290044 1428263 1474336 2580088 2856526 4653373 5160176 5713052 9306746 9997841 10320352 11426104 18613492 19995682 22852208 32573611 37226984 39991364 45704416 65147222 74453968 79982728 130294444 144254563 148907936 159965456 260588888 288509126 319930912 521177776 577018252 1009781941 1042355552 1154036504 2019563882 2308073008 4039127764 4616146016 8078255528 16156511056 32313022112