Search a number
-
+
12233103102 = 23211367168347
BaseRepresentation
bin10110110010010011…
…00101011011111110
31011120112202000200200
423121021211123332
5200023133244402
65341513504330
7612101442423
oct133111453376
934515660620
1012233103102
1152082a4470
122454a120a6
1311cc53c35c
14840979d4a
154b8e6821c
hex2d92656fe

12233103102 has 48 divisors (see below), whose sum is σ = 28993565952. Its totient is φ = 3696878160.

The previous prime is 12233103097. The next prime is 12233103109. The reversal of 12233103102 is 20130133221.

12233103102 is a `hidden beast` number, since 1 + 22 + 331 + 0 + 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 not an unprimeable number, because it can be changed into a prime (12233103109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11508 + ... + 156839.

It is an arithmetic number, because the mean of its divisors is an integer number (604032624).

Almost surely, 212233103102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233103102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496782976).

12233103102 is an abundant number, since it is smaller than the sum of its proper divisors (16760462850).

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

12233103102 is a wasteful number, since it uses less digits than its factorization.

12233103102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168733 (or 168730 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12233103102 its reverse (20130133221), we get a palindrome (32363236323).

The spelling of 12233103102 in words is "twelve billion, two hundred thirty-three million, one hundred three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 367 734 1101 2202 3303 4037 6606 8074 12111 24222 36333 72666 168347 336694 505041 1010082 1515123 1851817 3030246 3703634 5555451 11110902 16666353 33332706 61783349 123566698 185350047 370700094 556050141 679616839 1112100282 1359233678 2038850517 4077701034 6116551551 12233103102