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112103213312123 = 1117231511632773823
BaseRepresentation
bin11001011111010100010000…
…001101010010100001111011
3112200220221222200110010212222
4121133110100031102201323
5104143144340101441443
61034231301044154255
732420122062636215
oct3137242015224173
9480827880403788
10112103213312123
11327a0784432030
12106a642b39898b
134a72397c95087
141d97b785035b5
15ce60ddaa7468
hex65f51035287b

112103213312123 has 128 divisors (see below), whose sum is σ = 137377341702144. Its totient is φ = 90229531392000.

The previous prime is 112103213312119. The next prime is 112103213312137. The reversal of 112103213312123 is 321213312301211.

It is not a de Polignac number, because 112103213312123 - 22 = 112103213312119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112103213312092 and 112103213312101.

It is not an unprimeable number, because it can be changed into a prime (112103213312143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29323360190 + ... + 29323364012.

It is an arithmetic number, because the mean of its divisors is an integer number (1073260482048).

Almost surely, 2112103213312123 is an apocalyptic number.

112103213312123 is a deficient number, since it is larger than the sum of its proper divisors (25274128390021).

112103213312123 is a wasteful number, since it uses less digits than its factorization.

112103213312123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 112103213312123 its reverse (321213312301211), we get a palindrome (433316525613334).

The spelling of 112103213312123 in words is "one hundred twelve trillion, one hundred three billion, two hundred thirteen million, three hundred twelve thousand, one hundred twenty-three".

Divisors: 1 11 17 23 151 163 187 253 277 391 1661 1793 2567 2771 3047 3473 3749 3823 4301 4709 6371 24613 28237 30481 38203 41239 41827 42053 45151 51799 59041 63733 64991 70081 87929 108307 270743 418421 460097 496661 566099 577273 623149 649451 701063 711059 714901 767567 962021 967219 1038473 1058971 1191377 1494793 4602631 6227089 6350003 6817801 6854639 7821649 8443237 9623683 9813641 10582231 10593533 11423203 11648681 13277279 14332427 16354357 16442723 17654041 18002507 24356333 74995811 94095499 105860513 107950051 115902617 116528863 146050069 156809423 157656697 159904621 172612273 179897927 194194451 198027577 225713743 243651259 267919663 414057661 1035050489 1274928787 1599623483 1724903653 1758950831 1898735003 2164196477 2482851173 2665760191 2680163849 2718378557 2934408641 3677806283 3970082279 4554634271 17595858313 23806161247 26064453223 29323362101 29902164127 32278495051 36791340109 40455869113 43670905069 62522706811 67491398743 286708985453 404704741199 443095704791 599482424129 687749774921 742405386173 4874052752701 6594306665419 10191201210193 112103213312123