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112300144011 = 34112329233811
BaseRepresentation
bin110100010010110011…
…1000011010110001011
3101201212101112101210000
41220211213003112023
53314442314102021
6123331233454043
711053621321446
oct1504547032613
9351771471700
10112300144011
114369855a380
1219921111323
13a788bc2773
14561488c65d
152dc3ee6b26
hex1a259c358b

112300144011 has 160 divisors (see below), whose sum is σ = 198641963520. Its totient is φ = 62509708800.

The previous prime is 112300144009. The next prime is 112300144031. The reversal of 112300144011 is 110441003211.

It is not a de Polignac number, because 112300144011 - 21 = 112300144009 is a prime.

It is a super-2 number, since 2×1123001440112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112300144031) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 138470796 + ... + 138471606.

It is an arithmetic number, because the mean of its divisors is an integer number (1241512272).

Almost surely, 2112300144011 is an apocalyptic number.

112300144011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112300144011 is a deficient number, since it is larger than the sum of its proper divisors (86341819509).

112300144011 is a wasteful number, since it uses less digits than its factorization.

112300144011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112300144011 its reverse (110441003211), we get a palindrome (222741147222).

The spelling of 112300144011 in words is "one hundred twelve billion, three hundred million, one hundred forty-four thousand, eleven".

Divisors: 1 3 9 11 23 27 29 33 69 81 87 99 207 233 253 261 297 319 621 667 699 759 783 811 891 957 1863 2001 2097 2277 2349 2433 2563 2871 5359 6003 6291 6757 6831 7299 7337 7689 8613 8921 16077 18009 18653 18873 20271 20493 21897 22011 23067 23519 25839 26763 48231 54027 55959 58949 60813 65691 66033 69201 70557 74327 80289 144693 155411 167877 176847 182439 188963 198099 205183 207603 211671 222981 240867 258709 434079 466233 503631 530541 540937 547317 566889 594297 615549 635013 668943 722601 776127 1398699 1510893 1591623 1622811 1700667 1709521 1846647 1905039 2006829 2078593 2328381 4196097 4346149 4774869 4868433 5102001 5128563 5479927 5539941 5950307 6020487 6235779 6985143 12588291 13038447 14605299 15306003 15385689 16439781 16619823 17850921 18707337 20955429 39115341 43815897 46157067 47807639 49319343 53552763 56122011 60279197 117346023 126038321 138471201 143422917 147958029 160658289 168366033 180837591 352038069 378114963 430268751 443874087 481974867 542512773 1134344889 1290806253 1386421531 1627538319 3403034667 3872418759 4159264593 4882614957 10209104001 12477793779 37433381337 112300144011