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2021131232 = 25198214049
BaseRepresentation
bin111100001111000…
…0000001111100000
312012212010002211022
41320132000033200
513114402144412
6532315505012
7101041221611
oct17036001740
95185102738
102021131232
1194796a89a
12484a58168
13262965653
141525d9c08
15bc688a72
hex787803e0

2021131232 has 48 divisors (see below), whose sum is σ = 4194666000. Its totient is φ = 955975680.

The previous prime is 2021131159. The next prime is 2021131247. The reversal of 2021131232 is 2321311202.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2021131232.

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 7 ways as a sum of consecutive naturals, for example, 497144 + ... + 501192.

It is an arithmetic number, because the mean of its divisors is an integer number (87388875).

Almost surely, 22021131232 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 2021131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097333000).

2021131232 is an abundant number, since it is smaller than the sum of its proper divisors (2173534768).

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

2021131232 is a wasteful number, since it uses less digits than its factorization.

2021131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2021131232 is about 44956.9931378868. The cubic root of 2021131232 is about 1264.3427941173.

Adding to 2021131232 its reverse (2321311202), we get a palindrome (4342442434).

The spelling of 2021131232 in words is "two billion, twenty-one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 821 1642 3284 4049 6568 8098 13136 15599 16196 26272 31198 32392 62396 64784 76931 124792 129568 153862 249584 307724 499168 615448 1230896 2461792 3324229 6648458 13296916 26593832 53187664 63160351 106375328 126320702 252641404 505282808 1010565616 2021131232