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2443131020 = 2251121152631
BaseRepresentation
bin1001000110011111…
…0011100010001100
320022021011220201002
42101213303202030
520000420143040
61042232435432
7114354161651
oct22147634214
96267156632
102443131020
1110440a1550
12582248b78
132cc20a675
14192689c28
15e4745a15
hex919f388c

2443131020 has 48 divisors (see below), whose sum is σ = 5623623936. Its totient is φ = 884184000.

The previous prime is 2443131007. The next prime is 2443131037. The reversal of 2443131020 is 201313442.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2443130983 and 2443131001.

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, 20105 + ... + 72735.

It is an arithmetic number, because the mean of its divisors is an integer number (117158832).

Almost surely, 22443131020 is an apocalyptic number.

2443131020 is a gapful number since it is divisible by the number (20) 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 2443131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811811968).

2443131020 is an abundant number, since it is smaller than the sum of its proper divisors (3180492916).

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

2443131020 is a wasteful number, since it uses less digits than its factorization.

2443131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52862 (or 52860 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2443131020 is about 49428.0388039016. The cubic root of 2443131020 is about 1346.8386971300.

Adding to 2443131020 its reverse (201313442), we get a palindrome (2644444462).

The spelling of 2443131020 in words is "two billion, four hundred forty-three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 4220 4642 9284 11605 23210 46420 52631 105262 210524 263155 526310 578941 1052620 1157882 2315764 2894705 5789410 11105141 11578820 22210282 44420564 55525705 111051410 122156551 222102820 244313102 488626204 610782755 1221565510 2443131020