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23113403532032 = 281131726899629
BaseRepresentation
bin1010100000101100000100…
…01101010000001100000000
310000211121201211111002200212
411100112002031100030000
511012142222301011112
6121054052340533252
74603613454264242
oct520260215201400
9100747654432625
1023113403532032
117401380801910
1227136480b1228
13cb877a4a21c8
1459c9a2384092
152a13753c6522
hex150582350300

23113403532032 has 144 divisors (see below), whose sum is σ = 50513543287200. Its totient is φ = 10467968286720.

The previous prime is 23113403532029. The next prime is 23113403532053. The reversal of 23113403532032 is 23023530431132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 23113403532032.

It is an unprimeable number.

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, 2400390194 + ... + 2400399822.

It is an arithmetic number, because the mean of its divisors is an integer number (350788495050).

Almost surely, 223113403532032 is an apocalyptic number.

23113403532032 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 23113403532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25256771643600).

23113403532032 is an abundant number, since it is smaller than the sum of its proper divisors (27400139755168).

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

23113403532032 is a wasteful number, since it uses less digits than its factorization.

23113403532032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12662 (or 12648 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 23113403532032 its reverse (23023530431132), we get a palindrome (46136933963164).

The spelling of 23113403532032 in words is "twenty-three trillion, one hundred thirteen billion, four hundred three million, five hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 317 352 634 704 1268 1408 2536 2689 2816 3487 5072 5378 6974 9629 10144 10756 13948 19258 20288 21512 27896 29579 38516 40576 43024 55792 59158 77032 81152 86048 105919 111584 118316 154064 172096 211838 223168 236632 308128 344192 423676 446336 473264 616256 688384 847352 852413 892672 946528 1232512 1694704 1704826 1893056 2465024 3052393 3389408 3409652 3786112 6104786 6778816 6819304 7572224 9376543 12209572 13557632 13638608 18753086 24419144 25892381 27115264 27277216 33576323 37506172 48838288 51784762 54554432 67152646 75012344 97676576 103569524 109108864 134305292 150024688 195353152 207139048 218217728 268610584 284816191 300049376 390706304 414278096 537221168 569632382 600098752 781412608 828556192 1074442336 1139264764 1200197504 1657112384 2148884672 2278529528 2400395008 3314224768 4297769344 4557059056 6628449536 8207884777 8595538688 9114118112 16415769554 18228236224 32831539108 36456472448 65663078216 72912944896 90286732547 131326156432 180573465094 262652312864 361146930188 525304625728 722293860376 1050609251456 1444587720752 2101218502912 2889175441504 5778350883008 11556701766016 23113403532032