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23332102112 = 2511831017907
BaseRepresentation
bin10101101110101100…
…111001111111100000
32020020001110121001002
4111232230321333200
5340241004231422
614415115531132
71454122411214
oct255654717740
966201417032
1023332102112
1199933aa720
124631a59aa8
13227ab199a7
1411b4a5a944
15918560692
hex56eb39fe0

23332102112 has 96 divisors (see below), whose sum is σ = 51223342464. Its totient is φ = 10372672000.

The previous prime is 23332102111. The next prime is 23332102141. The reversal of 23332102112 is 21120123332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332102111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2946863 + ... + 2954769.

It is an arithmetic number, because the mean of its divisors is an integer number (533576484).

Almost surely, 223332102112 is an apocalyptic number.

23332102112 is a gapful number since it is divisible by the number (22) 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 23332102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25611671232).

23332102112 is an abundant number, since it is smaller than the sum of its proper divisors (27891240352).

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

23332102112 is a wasteful number, since it uses less digits than its factorization.

23332102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8104 counting only the distinct ones).

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

Adding to 23332102112 its reverse (21120123332), we get a palindrome (44452225444).

The spelling of 23332102112 in words is "twenty-three billion, three hundred thirty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 83 88 101 166 176 202 332 352 404 664 808 913 1111 1328 1616 1826 2222 2656 3232 3652 4444 7304 7907 8383 8888 14608 15814 16766 17776 29216 31628 33532 35552 63256 67064 86977 92213 126512 134128 173954 184426 253024 268256 347908 368852 656281 695816 737704 798607 1312562 1391632 1475408 1597214 2625124 2783264 2950816 3194428 5250248 6388856 7219091 8784677 10500496 12777712 14438182 17569354 21000992 25555424 28876364 35138708 57752728 66284381 70277416 115505456 132568762 140554832 231010912 265137524 281109664 530275048 729128191 1060550096 1458256382 2121100192 2916512764 5833025528 11666051056 23332102112