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112342141400331 = 31729796077332161
BaseRepresentation
bin11001100010110010110001…
…011011100111010100001011
3112201202210200222210121100010
4121202302301123213110023
5104211103201144302311
61034533133422243003
732443310664114603
oct3142626133472413
9481683628717303
10112342141400331
1132883042081057
12107247aba26463
134a8ba8426b86b
141da5562685c03
15cec424879da6
hex662cb16e750b

112342141400331 has 128 divisors (see below), whose sum is σ = 166724363059200. Its totient is φ = 66963796623360.

The previous prime is 112342141400309. The next prime is 112342141400347. The reversal of 112342141400331 is 133004141243211.

It is not a de Polignac number, because 112342141400331 - 211 = 112342141398283 is a prime.

It is a super-2 number, since 2×1123421414003312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112342141400371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51986181891 + ... + 51986184051.

It is an arithmetic number, because the mean of its divisors is an integer number (1302534086400).

Almost surely, 2112342141400331 is an apocalyptic number.

112342141400331 is a deficient number, since it is larger than the sum of its proper divisors (54382221658869).

112342141400331 is a wasteful number, since it uses less digits than its factorization.

112342141400331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 112342141400331 its reverse (133004141243211), we get a palindrome (245346282643542).

The spelling of 112342141400331 in words is "one hundred twelve trillion, three hundred forty-two billion, one hundred forty-one million, four hundred thousand, three hundred thirty-one".

Divisors: 1 3 17 29 51 79 87 237 493 607 733 1343 1479 1821 2161 2199 2291 4029 6483 6873 10319 12461 17603 21257 30957 36737 37383 38947 47953 52809 57907 62669 63771 110211 116841 143859 170719 173721 188007 299251 361369 444931 512157 815201 897753 984419 1065373 1084107 1311727 1334793 1390637 1584013 1679303 2445603 2902223 2953257 3196119 3935181 4171911 4752039 4950851 5037909 7563827 8706669 12902999 14852553 22299359 22691481 23640829 26928221 28548151 35149549 38040083 38708997 45936377 66898077 70922487 80784663 84164467 85644453 103626433 105448647 114120249 125137027 137809131 219350983 252493401 310879299 375411081 597542333 646681411 658052949 780918409 961495891 1019336921 1761649361 1792626999 1940044233 2127329459 2342755227 2884487673 3005166557 3058010763 3628973783 5284948083 6381988377 9015499671 10886921349 16345430147 17328727657 27883380839 49036290441 51087831469 51986182971 61692554311 75958175389 83650142517 153263494407 185077662933 227874526167 474017474263 1291288981613 1422052422789 2202787086281 3873866944839 6608361258843 37447380466777 112342141400331