Search a number
-
+
112313212203132 = 22331377590782117
BaseRepresentation
bin11001100010010111110101…
…000111011111000001111100
3112201200001000212102010021000
4121202113311013133001330
5104210114424311000012
61034511551041210300
732441235046026033
oct3142276507370174
9481601025363230
10112313212203132
1132871847320016
121071b077630990
134a891239a39b5
141da3dba53971a
15ceb7cec6addc
hex6625f51df07c

112313212203132 has 48 divisors (see below), whose sum is σ = 293307821039520. Its totient is φ = 37164469239936.

The previous prime is 112313212203121. The next prime is 112313212203163. The reversal of 112313212203132 is 231302212313211.

112313212203132 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 321 + 2 + 20 + 313 + 2 = 666.

It is a super-2 number, since 2×1123132122031322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112313212203096 and 112313212203105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3795376263 + ... + 3795405854.

It is an arithmetic number, because the mean of its divisors is an integer number (6110579604990).

Almost surely, 2112313212203132 is an apocalyptic number.

112313212203132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112313212203132 is an abundant number, since it is smaller than the sum of its proper divisors (180994608836388).

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

112313212203132 is a wasteful number, since it uses less digits than its factorization.

112313212203132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590782267 (or 7590782259 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 112313212203132 its reverse (231302212313211), we get a palindrome (343615424516343).

The spelling of 112313212203132 in words is "one hundred twelve trillion, three hundred thirteen billion, two hundred twelve million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1233 1644 2466 3699 4932 7398 14796 7590782117 15181564234 22772346351 30363128468 45544692702 68317039053 91089385404 136634078106 204951117159 273268156212 409902234318 819804468636 1039937150029 2079874300058 3119811450087 4159748600116 6239622900174 9359434350261 12479245800348 18718868700522 28078303050783 37437737401044 56156606101566 112313212203132