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23100132 = 223111391259
BaseRepresentation
bin101100000011…
…1101011100100
31121110121102110
41120013223210
521403201012
62143041020
7400230216
oct130075344
947417373
1023100132
1112048520
1278a0170
134a2a523
1430d45b6
15206473c
hex1607ae4

23100132 has 48 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 6944160.

The previous prime is 23100109. The next prime is 23100149.

It is a happy number.

23100132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 17719 + ... + 18977.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 223100132 is an apocalyptic number.

23100132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

23100132 is an abundant number, since it is smaller than the sum of its proper divisors (36170268).

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

23100132 is a wasteful number, since it uses less digits than its factorization.

23100132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 23100132 is about 4806.2596683908. The cubic root of 23100132 is about 284.7987992048.

It can be divided in two parts, 23100 and 132, that added together give a palindrome (23232).

The spelling of 23100132 in words is "twenty-three million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 834 1259 1529 1668 2518 3058 3777 4587 5036 6116 7554 9174 13849 15108 18348 27698 41547 55396 83094 166188 175001 350002 525003 700004 1050006 1925011 2100012 3850022 5775033 7700044 11550066 23100132