Search a number
-
+
3012100020 = 223451997859
BaseRepresentation
bin1011001110001000…
…1111111110110100
321202220210112110000
42303202033332310
522132044200040
61214515431300
7134433266466
oct26342177664
97686715400
103012100020
111306285366
127008b5530
1339005cc07
14208076136
15129684130
hexb388ffb4

3012100020 has 120 divisors (see below), whose sum is σ = 9946490400. Its totient is φ = 760943808.

The previous prime is 3012099949. The next prime is 3012100057. The reversal of 3012100020 is 200012103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3012099975 and 3012100011.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 18150 + ... + 79709.

It is an arithmetic number, because the mean of its divisors is an integer number (82887420).

Almost surely, 23012100020 is an apocalyptic number.

3012100020 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 3012100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973245200).

3012100020 is an abundant number, since it is smaller than the sum of its proper divisors (6934390380).

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

3012100020 is a wasteful number, since it uses less digits than its factorization.

3012100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97899 (or 97888 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3012100020 is about 54882.6021613407. The cubic root of 3012100020 is about 1444.1859968413.

Adding to 3012100020 its reverse (200012103), we get a palindrome (3212112123).

The spelling of 3012100020 in words is "three billion, twelve million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 15390 30780 97859 195718 293577 391436 489295 587154 880731 978590 1174308 1467885 1761462 1859321 1957180 2642193 2935770 3522924 3718642 4403655 5284386 5577963 5871540 7437284 7926579 8807310 9296605 10568772 11155926 13210965 15853158 16733889 17614620 18593210 22311852 26421930 27889815 31706316 33467778 37186420 39632895 50201667 52843860 55779630 66935556 79265790 83669445 100403334 111559260 150605001 158531580 167338890 200806668 251008335 301210002 334677780 502016670 602420004 753025005 1004033340 1506050010 3012100020