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3000122112 = 28313300493
BaseRepresentation
bin1011001011010010…
…0011101100000000
321202002020222211210
42302310203230000
522121012401422
61213411010120
7134226421461
oct26264435400
97662228753
103000122112
1112aa544169
126b8899940
1338a727cb0
14206638d68
151285ba10c
hexb2d23b00

3000122112 has 72 divisors (see below), whose sum is σ = 8598936304. Its totient is φ = 923111424.

The previous prime is 3000122063. The next prime is 3000122113. The reversal of 3000122112 is 2112210003.

It is a super-2 number, since 2×30001221122 = 18001465373822681088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3000122113) 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 7 ways as a sum of consecutive naturals, for example, 140263 + ... + 160230.

Almost surely, 23000122112 is an apocalyptic number.

3000122112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3000122112 is an abundant number, since it is smaller than the sum of its proper divisors (5598814192).

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

3000122112 is a wasteful number, since it uses less digits than its factorization.

3000122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300525 (or 300511 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3000122112 is about 54773.3704641224. The cubic root of 3000122112 is about 1442.2691384841.

Adding to 3000122112 its reverse (2112210003), we get a palindrome (5112332115).

The spelling of 3000122112 in words is "three billion, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 300493 600986 901479 1201972 1802958 2403944 3605916 3906409 4807888 7211832 7812818 9615776 11719227 14423664 15625636 19231552 23438454 28847328 31251272 38463104 46876908 57694656 62502544 76926208 93753816 115389312 125005088 187507632 230778624 250010176 375015264 500020352 750030528 1000040704 1500061056 3000122112