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112201323102 = 232112103500153
BaseRepresentation
bin110100001111110111…
…0000101001001011110
3101201121111120202222100
41220133232011021132
53314242014314402
6123313343425530
711051311340031
oct1503756051136
9351544522870
10112201323102
11436477a3800
12198b3bb52a6
13a7715a285b
1456056c7018
152dba4c671c
hex1a1fb8525e

112201323102 has 72 divisors (see below), whose sum is σ = 269807074992. Its totient is φ = 33670232640.

The previous prime is 112201323097. The next prime is 112201323121. The reversal of 112201323102 is 201323102211.

112201323102 is a `hidden beast` number, since 1 + 1 + 220 + 132 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25743 + ... + 474410.

It is an arithmetic number, because the mean of its divisors is an integer number (3747320486).

Almost surely, 2112201323102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112201323102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134903537496).

112201323102 is an abundant number, since it is smaller than the sum of its proper divisors (157605751890).

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

112201323102 is a wasteful number, since it uses less digits than its factorization.

112201323102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500286 (or 500272 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112201323102 its reverse (201323102211), we get a palindrome (313524425313).

The spelling of 112201323102 in words is "one hundred twelve billion, two hundred one million, three hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 121 198 206 242 309 363 618 726 927 1089 1133 1854 2178 2266 3399 6798 10197 12463 20394 24926 37389 74778 112167 224334 500153 1000306 1500459 3000918 4501377 5501683 9002754 11003366 16505049 33010098 49515147 51515759 60518513 99030294 103031518 121037026 154547277 181555539 309094554 363111078 463641831 544666617 566673349 927283662 1089333234 1133346698 1700020047 3400040094 5100060141 6233406839 10200120282 12466813678 18700220517 37400441034 56100661551 112201323102