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3024131020 = 2251729306707
BaseRepresentation
bin1011010001000000…
…1001001111001100
321210202102202212121
42310100021033030
522143134143040
61220025342324
7134640455341
oct26420111714
97722382777
103024131020
111312052439
127049379a4
133926b3051
142098c87c8
1512a75dc4a
hexb44093cc

3024131020 has 48 divisors (see below), whose sum is σ = 6956137440. Its totient is φ = 1099234304.

The previous prime is 3024131009. The next prime is 3024131021. The reversal of 3024131020 is 201314203.

It is a happy number.

It is a super-2 number, since 2×30241310202 = 18290736852252480800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3024130985 and 3024131003.

It is not an unprimeable number, because it can be changed into a prime (3024131021) by changing a digit.

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, 143494 + ... + 163213.

It is an arithmetic number, because the mean of its divisors is an integer number (144919530).

Almost surely, 23024131020 is an apocalyptic number.

It is an amenable number.

3024131020 is an abundant number, since it is smaller than the sum of its proper divisors (3932006420).

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

3024131020 is a wasteful number, since it uses less digits than its factorization.

3024131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306762 (or 306760 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3024131020 is about 54992.0996143992. The cubic root of 3024131020 is about 1446.1062429151.

Adding to 3024131020 its reverse (201314203), we get a palindrome (3225445223).

The spelling of 3024131020 in words is "three billion, twenty-four million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 306707 613414 1226828 1533535 3067070 5214019 6134140 8894503 10428038 17789006 20856076 26070095 35578012 44472515 52140190 88945030 104280380 151206551 177890060 302413102 604826204 756032755 1512065510 3024131020