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2021112132 = 2231326948163
BaseRepresentation
bin111100001110111…
…1011100101000100
312012212002010121220
41320131323211010
513114401042012
6532315240340
7101041112124
oct17035734504
95185063556
102021112132
11947957506
12484a490b0
13262959a50
141525d2c84
15bc68308c
hex7877b944

2021112132 has 48 divisors (see below), whose sum is σ = 5097677760. Its totient is φ = 619555968.

The previous prime is 2021112127. The next prime is 2021112169. The reversal of 2021112132 is 2312111202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17883 + ... + 66045.

It is an arithmetic number, because the mean of its divisors is an integer number (106201620).

Almost surely, 22021112132 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 2021112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548838880).

2021112132 is an abundant number, since it is smaller than the sum of its proper divisors (3076565628).

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

2021112132 is a wasteful number, since it uses less digits than its factorization.

2021112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48452 (or 48450 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2021112132 is about 44956.7807121462. The cubic root of 2021112132 is about 1264.3388113603.

Adding to 2021112132 its reverse (2312111202), we get a palindrome (4333223334).

The spelling of 2021112132 in words is "two billion, twenty-one million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 269 538 807 1076 1614 3228 3497 6994 10491 13988 20982 41964 48163 96326 144489 192652 288978 577956 626119 1252238 1878357 2504476 3756714 7513428 12955847 25911694 38867541 51823388 77735082 155470164 168426011 336852022 505278033 673704044 1010556066 2021112132