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23823731022112 = 2572191505115749
BaseRepresentation
bin1010110101010111001010…
…00001100101100100100000
310010100112012202222100111101
411122223211001211210200
511110312000120201422
6122400245420124144
75006131156315300
oct532534501454440
9103315182870441
1023823731022112
11765565109567a
122809247396654
13103a750430b08
145c51090d9600
152b4a9ae7ac27
hex15aae5065920

23823731022112 has 144 divisors (see below), whose sum is σ = 54860597568000. Its totient is φ = 10154058432000.

The previous prime is 23823731022079. The next prime is 23823731022131. The reversal of 23823731022112 is 21122013732832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1512706014 + ... + 1512721762.

It is an arithmetic number, because the mean of its divisors is an integer number (380976372000).

Almost surely, 223823731022112 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 23823731022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27430298784000).

23823731022112 is an abundant number, since it is smaller than the sum of its proper divisors (31036866545888).

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

23823731022112 is a wasteful number, since it uses less digits than its factorization.

23823731022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21015 (or 21000 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 23823731022112 its reverse (21122013732832), we get a palindrome (44945744754944).

The spelling of 23823731022112 in words is "twenty-three trillion, eight hundred twenty-three billion, seven hundred thirty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 191 196 224 382 392 764 784 1337 1528 1568 2674 3056 5051 5348 6112 9359 10102 10696 15749 18718 20204 21392 31498 35357 37436 40408 42784 62996 70714 74872 80816 110243 125992 141428 149744 161632 220486 247499 251984 282856 299488 440972 494998 503968 565712 771701 881944 964741 989996 1131424 1543402 1763888 1929482 1979992 3008059 3086804 3527776 3858964 3959984 6016118 6173608 6753187 7717928 7919968 12032236 12347216 13506374 15435856 21056413 24064472 24694432 27012748 30871712 42112826 47272309 48128944 54025496 79548199 84225652 94544618 96257888 108050992 147394891 159096398 168451304 189089236 216101984 294789782 318192796 336902608 378178472 556837393 589579564 636385592 673805216 756356944 1113674786 1179159128 1272771184 1512713888 2227349572 2358318256 2545542368 3897861751 4454699144 4716636512 7795723502 8909398288 15193706009 15591447004 17818796576 30387412018 31182894008 60774824036 62365788016 106355942063 121549648072 124731576032 212711884126 243099296144 425423768252 486198592288 744491594441 850847536504 1488983188882 1701695073008 2977966377764 3403390146016 5955932755528 11911865511056 23823731022112