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3012042120 = 2335113222127
BaseRepresentation
bin1011001110001000…
…0001110110001000
321202220200121000120
42303202001312020
522132040321440
61214514303240
7134432635623
oct26342016610
97686617016
103012042120
11130624590a
12700887b20
1339003c759
1420805cdba
15129671dd0
hexb3881d88

3012042120 has 64 divisors (see below), whose sum is σ = 9116133120. Its totient is φ = 796099584.

The previous prime is 3012042101. The next prime is 3012042139. The reversal of 3012042120 is 212402103.

It is an interprime number because it is at equal distance from previous prime (3012042101) and next prime (3012042139).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3012042120.

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 15 ways as a sum of consecutive naturals, for example, 97504 + ... + 124623.

It is an arithmetic number, because the mean of its divisors is an integer number (142439580).

Almost surely, 23012042120 is an apocalyptic number.

3012042120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3012042120 is an abundant number, since it is smaller than the sum of its proper divisors (6104091000).

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

3012042120 is a wasteful number, since it uses less digits than its factorization.

3012042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222254 (or 222250 counting only the distinct ones).

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

The square root of 3012042120 is about 54882.0746692397. The cubic root of 3012042120 is about 1444.1767431750.

Adding to 3012042120 its reverse (212402103), we get a palindrome (3224444223).

It can be divided in two parts, 30120421 and 20, that added together give a triangular number (30120441 = T7761).

The spelling of 3012042120 in words is "three billion, twelve million, forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 222127 444254 666381 888508 1110635 1332762 1777016 2221270 2665524 3331905 4442540 5331048 6663810 8885080 13327620 25100351 26655240 50200702 75301053 100401404 125501755 150602106 200802808 251003510 301204212 376505265 502007020 602408424 753010530 1004014040 1506021060 3012042120