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3000122124 = 2231741935099
BaseRepresentation
bin1011001011010010…
…0011101100001100
321202002020222212020
42302310203230030
522121012401444
61213411010140
7134226421506
oct26264435414
97662228766
103000122124
1112aa54417a
126b8899950
1338a727cbc
14206638d76
151285ba119
hexb2d23b0c

3000122124 has 48 divisors (see below), whose sum is σ = 7429968000. Its totient is φ = 938941696.

The previous prime is 3000122117. The next prime is 3000122131. The reversal of 3000122124 is 4212210003.

It is an interprime number because it is at equal distance from previous prime (3000122117) and next prime (3000122131).

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, 67927 + ... + 103025.

It is an arithmetic number, because the mean of its divisors is an integer number (154791000).

Almost surely, 23000122124 is an apocalyptic number.

3000122124 is a gapful number since it is divisible by the number (34) 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 3000122124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714984000).

3000122124 is an abundant number, since it is smaller than the sum of its proper divisors (4429845876).

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

3000122124 is a wasteful number, since it uses less digits than its factorization.

3000122124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35542 (or 35540 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3000122124 is about 54773.3705736647. The cubic root of 3000122124 is about 1442.2691404070.

Adding to 3000122124 its reverse (4212210003), we get a palindrome (7212332127).

It can be divided in two parts, 30001 and 22124, that added together give a palindrome (52125).

The spelling of 3000122124 in words is "three billion, one hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 419 838 1257 1676 2514 5028 7123 14246 21369 28492 35099 42738 70198 85476 105297 140396 210594 421188 596683 1193366 1790049 2386732 3580098 7160196 14706481 29412962 44119443 58825924 88238886 176477772 250010177 500020354 750030531 1000040708 1500061062 3000122124