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3011016060 = 22325132944371
BaseRepresentation
bin1011001101111000…
…0111010101111100
321202211202110112100
42303132013111330
522131310003220
61214440305100
7134421133323
oct26336072574
97684673470
103011016060
111305704a28
12700472190
1338ca70710
14207c730ba
1512951cd90
hexb378757c

3011016060 has 144 divisors (see below), whose sum is σ = 10175387040. Its totient is φ = 715599360.

The previous prime is 3011016053. The next prime is 3011016061. The reversal of 3011016060 is 606101103.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011016061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45675 + ... + 90045.

It is an arithmetic number, because the mean of its divisors is an integer number (70662410).

Almost surely, 23011016060 is an apocalyptic number.

3011016060 is a gapful number since it is divisible by the number (30) 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 3011016060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087693520).

3011016060 is an abundant number, since it is smaller than the sum of its proper divisors (7164370980).

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

3011016060 is a wasteful number, since it uses less digits than its factorization.

3011016060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44428 (or 44423 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3011016060 is about 54872.7260121091. The cubic root of 3011016060 is about 1444.0127370265.

Adding to 3011016060 its reverse (606101103), we get a palindrome (3617117163).

The spelling of 3011016060 in words is "three billion, eleven million, sixteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 44371 67860 88742 133113 177484 221855 266226 399339 443710 532452 576823 665565 798678 887420 1153646 1286759 1331130 1597356 1730469 1996695 2307292 2573518 2662260 2884115 3460938 3860277 3993390 5147036 5191407 5768230 6433795 6921876 7720554 7986780 8652345 10382814 11536460 11580831 12867590 15441108 16727867 17304690 19301385 20765628 23161662 25735180 25957035 33455734 34609380 38602770 46323324 50183601 51914070 57904155 66911468 77205540 83639335 100367202 103828140 115808310 150550803 167278670 200734404 231616620 250918005 301101606 334557340 501836010 602203212 752754015 1003672020 1505508030 3011016060