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23200023582112 = 2513217214844101
BaseRepresentation
bin1010100011001101011010…
…01010100001010110100000
310001010220022112101120011211
411101212231022201112200
511020102122014111422
6121201535501115504
74613101132461346
oct521465512412640
9101126275346154
1023200023582112
117435090541563
1227283a0b58b94
13cc39a2c9b800
145a2c5c413996
152a3744b5b577
hex1519ad2a15a0

23200023582112 has 108 divisors (see below), whose sum is σ = 52539259151106. Its totient is φ = 10077837619200.

The previous prime is 23200023582107. The next prime is 23200023582157. The reversal of 23200023582112 is 21128532000232.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 2389237952656 + 20810785629456 = 1545716^2 + 4561884^2 .

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 17 ways as a sum of consecutive naturals, for example, 5859139 + ... + 8984962.

Almost surely, 223200023582112 is an apocalyptic number.

It is an amenable number.

23200023582112 is an abundant number, since it is smaller than the sum of its proper divisors (29339235568994).

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

23200023582112 is a wasteful number, since it uses less digits than its factorization.

23200023582112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14844171 (or 14844133 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 23200023582112 its reverse (21128532000232), we get a palindrome (44328555582344).

The spelling of 23200023582112 in words is "twenty-three trillion, two hundred billion, twenty-three million, five hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 169 208 221 272 289 338 416 442 544 578 676 884 1156 1352 1768 2312 2704 2873 3536 3757 4624 5408 5746 7072 7514 9248 11492 15028 22984 30056 45968 48841 60112 91936 97682 120224 195364 390728 781456 1562912 14844101 29688202 59376404 118752808 192973313 237505616 252349717 385946626 475011232 504699434 771893252 1009398868 1543786504 2018797736 2508653069 3087573008 3280546321 4037595472 4289945189 5017306138 6175146016 6561092642 8075190944 8579890378 10034612276 13122185284 17159780756 20069224552 26244370568 34319561512 40138449104 42647102173 52488741136 55769287457 68639123024 80276898208 85294204346 104977482272 111538574914 137278246048 170588408692 223077149828 341176817384 446154299656 682353634768 725000736941 892308599312 1364707269536 1450001473882 1784617198624 2900002947764 5800005895528 11600011791056 23200023582112