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21102132 = 22323101757
BaseRepresentation
bin101000001111…
…1111000110100
31110201002200110
41100133320310
520400232012
62032143020
7344236152
oct120377064
943632613
1021102132
1110a03387
127097a70
1344aac8c
142b343d2
151cbc73c
hex141fe34

21102132 has 48 divisors (see below), whose sum is σ = 51956352. Its totient is φ = 6652800.

The previous prime is 21102113. The next prime is 21102161. The reversal of 21102132 is 23120112.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27498 + ... + 28254.

It is an arithmetic number, because the mean of its divisors is an integer number (1082424).

Almost surely, 221102132 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 21102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25978176).

21102132 is an abundant number, since it is smaller than the sum of its proper divisors (30854220).

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

21102132 is a wasteful number, since it uses less digits than its factorization.

21102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 21102132 is about 4593.7056936639. The cubic root of 21102132 is about 276.3389555390.

Adding to 21102132 its reverse (23120112), we get a palindrome (44222244).

The spelling of 21102132 in words is "twenty-one million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 101 138 202 276 303 404 606 757 1212 1514 2271 2323 3028 4542 4646 6969 9084 9292 13938 17411 27876 34822 52233 69644 76457 104466 152914 208932 229371 305828 458742 917484 1758511 3517022 5275533 7034044 10551066 21102132