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3000002120 = 235257291829
BaseRepresentation
bin1011001011010000…
…0110011001001000
321202002000220020122
42302310012121020
522121000031440
61213404242412
7134225411603
oct26264063110
97662026218
103000002120
1112aa471aa5
126b8840408
1338a6b54ab
1420660733a
151285947b5
hexb2d06648

3000002120 has 32 divisors (see below), whose sum is σ = 6776292600. Its totient is φ = 1195327488.

The previous prime is 3000002119. The next prime is 3000002141. The reversal of 3000002120 is 212000003.

It can be written as a sum of positive squares in 4 ways, for example, as 2564612164 + 435389956 = 50642^2 + 20866^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 3000002098 and 3000002107.

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, 135635 + ... + 156194.

Almost surely, 23000002120 is an apocalyptic number.

It is an amenable number.

3000002120 is an abundant number, since it is smaller than the sum of its proper divisors (3776290480).

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

3000002120 is a wasteful number, since it uses less digits than its factorization.

3000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292097 (or 292093 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 3000002120 is about 54772.2751033769. The cubic root of 3000002120 is about 1442.2499100372.

Adding to 3000002120 its reverse (212000003), we get a palindrome (3212002123).

The spelling of 3000002120 in words is "three billion, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 257 514 1028 1285 2056 2570 5140 10280 291829 583658 1167316 1459145 2334632 2918290 5836580 11673160 75000053 150000106 300000212 375000265 600000424 750000530 1500001060 3000002120