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112301306544 = 243710926911399
BaseRepresentation
bin110100010010110101…
…1011111001010110000
3101201212110201110110210
41220211223133022300
53314443113302134
6123331314424120
711053634232660
oct1504553371260
9351773643423
10112301306544
1143699183849
1219921592040
13a78920b95b
145614ab21a0
152dc41762e9
hex1a25adf2b0

112301306544 has 160 divisors (see below), whose sum is σ = 335871360000. Its totient is φ = 31670756352.

The previous prime is 112301306531. The next prime is 112301306603. The reversal of 112301306544 is 445603103211.

It is a super-2 number, since 2×1123013065442 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9846157 + ... + 9857555.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196000).

Almost surely, 2112301306544 is an apocalyptic number.

112301306544 is a gapful number since it is divisible by the number (14) 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 112301306544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680000).

112301306544 is an abundant number, since it is smaller than the sum of its proper divisors (223570053456).

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

112301306544 is a wasteful number, since it uses less digits than its factorization.

112301306544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 112301306544 its reverse (445603103211), we get a palindrome (557904409755).

The spelling of 112301306544 in words is "one hundred twelve billion, three hundred one million, three hundred six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 269 327 336 436 538 654 763 807 872 1076 1308 1526 1614 1744 1883 2152 2289 2616 3052 3228 3766 4304 4578 5232 5649 6104 6456 7532 9156 11298 11399 12208 12912 15064 18312 22596 22798 29321 30128 34197 36624 45192 45596 58642 68394 79793 87963 90384 91192 117284 136788 159586 175926 182384 205247 234568 239379 273576 319172 351852 410494 469136 478758 547152 615741 638344 703704 820988 957516 1231482 1242491 1276688 1407408 1641976 1915032 2462964 2484982 3066331 3283952 3727473 3830064 4925928 4969964 6132662 7454946 8697437 9198993 9851856 9939928 12265324 14909892 17394874 18397986 19879856 21464317 24530648 26092311 29819784 34789748 36795972 42928634 49061296 52184622 59639568 64392951 69579496 73591944 85857268 104369244 128785902 139158992 147183888 171714536 208738488 257571804 334230079 343429072 417476976 515143608 668460158 1002690237 1030287216 1336920316 2005380474 2339610553 2673840632 4010760948 4679221106 5347681264 7018831659 8021521896 9358442212 14037663318 16043043792 18716884424 28075326636 37433768848 56150653272 112301306544