Search a number
-
+
10101112 = 237612957
BaseRepresentation
bin100110100010…
…000101111000
3201000012010021
4212202011320
510041213422
61000300224
7151600210
oct46420570
921005107
1010101112
11577a12a
123471674
1321288b8
1414ad240
15d47dc7
hex9a2178

10101112 has 32 divisors (see below), whose sum is σ = 22007520. Its totient is φ = 4256640.

The previous prime is 10101109. The next prime is 10101137. The reversal of 10101112 is 21110101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10101095 and 10101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1938 + ... + 4894.

It is an arithmetic number, because the mean of its divisors is an integer number (687735).

Almost surely, 210101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11003760).

10101112 is an abundant number, since it is smaller than the sum of its proper divisors (11906408).

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

10101112 is a wasteful number, since it uses less digits than its factorization.

10101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 10101112 is about 3178.2246616625. The cubic root of 10101112 is about 216.1671659759.

Adding to 10101112 its reverse (21110101), we get a palindrome (31211213).

Multiplying 10101112 by its reverse (21110101), we get a palindrome (213235494532312).

The spelling of 10101112 in words is "ten million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 2957 3416 5914 11828 20699 23656 41398 82796 165592 180377 360754 721508 1262639 1443016 2525278 5050556 10101112