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3012113430 = 232559599947
BaseRepresentation
bin1011001110001001…
…0011010000010110
321202220211012211200
42303202103100112
522132100112210
61214520013330
7134433353544
oct26342232026
97686735750
103012113430
111306294447
12700901246
13390066051
1420807ad94
151296880c0
hexb3893416

3012113430 has 96 divisors (see below), whose sum is σ = 7985952000. Its totient is φ = 787465536.

The previous prime is 3012113387. The next prime is 3012113477. The reversal of 3012113430 is 343112103.

3012113430 is a `hidden beast` number, since 301 + 21 + 1 + 343 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3180217 + ... + 3181163.

It is an arithmetic number, because the mean of its divisors is an integer number (83187000).

Almost surely, 23012113430 is an apocalyptic number.

3012113430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012113430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992976000).

3012113430 is an abundant number, since it is smaller than the sum of its proper divisors (4973838570).

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

3012113430 is a wasteful number, since it uses less digits than its factorization.

3012113430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3012113430 is about 54882.7243310680. The cubic root of 3012113430 is about 1444.1881400310.

Adding to 3012113430 its reverse (343112103), we get a palindrome (3355225533).

The spelling of 3012113430 in words is "three billion, twelve million, one hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 599 885 947 1062 1198 1770 1797 1894 2655 2841 2995 3594 4735 5310 5391 5682 5990 8523 8985 9470 10782 14205 17046 17970 26955 28410 35341 42615 53910 55873 70682 85230 106023 111746 167619 176705 212046 279365 318069 335238 353410 502857 530115 558730 567253 636138 838095 1005714 1060230 1134506 1590345 1676190 1701759 2514285 2836265 3180690 3403518 5028570 5105277 5672530 8508795 10210554 17017590 25526385 33467927 51052770 66935854 100403781 167339635 200807562 301211343 334679270 502018905 602422686 1004037810 1506056715 3012113430