Search a number
-
+
112101102 = 23219433757
BaseRepresentation
bin1101010111010…
…00011011101110
321210221022210200
412223220123232
5212144213402
615042414330
72530562241
oct653503356
9253838720
10112101102
1158307243
12316613a6
131a2bc819
1410c61258
159c9521c
hex6ae86ee

112101102 has 48 divisors (see below), whose sum is σ = 256598160. Its totient is φ = 35271936.

The previous prime is 112101089. The next prime is 112101109. The reversal of 112101102 is 201101211.

It is a happy number.

It is a super-2 number, since 2×1121011022 = 25133314139228808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101109) 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, 147708 + ... + 148464.

It is an arithmetic number, because the mean of its divisors is an integer number (5345795).

Almost surely, 2112101102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128299080).

112101102 is an abundant number, since it is smaller than the sum of its proper divisors (144497058).

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

112101102 is a wasteful number, since it uses less digits than its factorization.

112101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 112101102 is about 10587.7807873038. The cubic root of 112101102 is about 482.1734510016.

Adding to 112101102 its reverse (201101211), we get a palindrome (313202313).

The spelling of 112101102 in words is "one hundred twelve million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 433 757 866 1299 1514 2271 2598 3897 4542 6813 7794 8227 13626 14383 16454 24681 28766 43149 49362 74043 86298 129447 148086 258894 327781 655562 983343 1966686 2950029 5900058 6227839 12455678 18683517 37367034 56050551 112101102