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112342243233 = 311174167269271
BaseRepresentation
bin110100010100000011…
…1101001011110100001
3101201222022202021001110
41220220013221132201
53320034103240413
6123335340053533
711054642211633
oct1505007513641
9351868667043
10112342243233
114370a2a4120
12199332342a9
13a79484294c
14561a2caa53
152dc7a608c3
hex1a281e97a1

112342243233 has 128 divisors (see below), whose sum is σ = 181219368960. Its totient is φ = 61129728000.

The previous prime is 112342243229. The next prime is 112342243241. The reversal of 112342243233 is 332342243211.

It is a happy number.

It is not a de Polignac number, because 112342243233 - 22 = 112342243229 is a prime.

It is a super-2 number, since 2×1123422432332 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112342243233.

It is not an unprimeable number, because it can be changed into a prime (112342243033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 414546888 + ... + 414547158.

It is an arithmetic number, because the mean of its divisors is an integer number (1415776320).

Almost surely, 2112342243233 is an apocalyptic number.

It is an amenable number.

112342243233 is a deficient number, since it is larger than the sum of its proper divisors (68877125727).

112342243233 is a wasteful number, since it uses less digits than its factorization.

112342243233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679.

The product of its digits is 20736, while the sum is 30.

Adding to 112342243233 its reverse (332342243211), we get a palindrome (444684486444).

The spelling of 112342243233 in words is "one hundred twelve billion, three hundred forty-two million, two hundred forty-three thousand, two hundred thirty-three".

Divisors: 1 3 11 17 33 41 51 67 123 187 201 269 271 451 561 697 737 807 813 1139 1353 2091 2211 2747 2959 2981 3417 4573 4607 7667 8241 8877 8943 11029 11111 12529 13719 13821 18023 18157 23001 30217 33087 33333 37587 46699 50303 50677 54069 54471 72899 90651 121319 122221 140097 150909 152031 187493 188887 198253 199727 218697 306391 308669 363957 366663 513689 562479 566661 594759 599181 738943 744437 801889 919173 926007 1239283 1541067 2062423 2077757 2216829 2233311 2405667 2988859 3370301 3395359 3717849 4884233 6187269 6233271 8128373 8188807 8966577 10110903 10186077 12562031 12655429 13632113 14652699 24385119 24566421 32877449 37686093 37966287 40896339 50810603 53726563 83031961 98632347 138182341 139209719 152431809 161179689 200253553 249095883 414547023 417629157 558916633 600760659 913351571 1676749899 2202789083 2740054713 3404310401 6608367249 10212931203 37447414411 112342243233