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3011110020 = 22325293971453
BaseRepresentation
bin1011001101111001…
…1110010010000100
321202211221020102100
42303132132102010
522131321010040
61214442312100
7134422004262
oct26336362204
97684836370
103011110020
111305769586
127004b8630
1338caa4409
14207c99432
1512953ab30
hexb379e484

3011110020 has 144 divisors (see below), whose sum is σ = 9478974960. Its totient is φ = 772789248.

The previous prime is 3011110019. The next prime is 3011110031. The reversal of 3011110020 is 200111103.

3011110020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 338633604 + 2672476416 = 18402^2 + 51696^2 .

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 = 3011109984 and 3011110011.

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, 2071614 + ... + 2073066.

It is an arithmetic number, because the mean of its divisors is an integer number (65826215).

Almost surely, 23011110020 is an apocalyptic number.

3011110020 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 3011110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739487480).

3011110020 is an abundant number, since it is smaller than the sum of its proper divisors (6467864940).

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

3011110020 is a wasteful number, since it uses less digits than its factorization.

3011110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 3011110020 is about 54873.5821684716. The cubic root of 3011110020 is about 1444.0277572082.

Adding to 3011110020 its reverse (200111103), we get a palindrome (3211221123).

The spelling of 3011110020 in words is "three billion, eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 397 435 522 580 794 870 1044 1191 1305 1453 1588 1740 1985 2382 2610 2906 3573 3970 4359 4764 5220 5812 5955 7146 7265 7940 8718 11513 11910 13077 14292 14530 17436 17865 21795 23026 23820 26154 29060 34539 35730 42137 43590 46052 52308 57565 65385 69078 71460 84274 87180 103617 115130 126411 130770 138156 168548 172695 207234 210685 230260 252822 261540 345390 379233 414468 421370 505644 518085 576841 632055 690780 758466 842740 1036170 1153682 1264110 1516932 1730523 1896165 2072340 2307364 2528220 2884205 3461046 3792330 5191569 5768410 6922092 7584660 8652615 10383138 11536820 16728389 17305230 20766276 25957845 33456778 34610460 50185167 51915690 66913556 83641945 100370334 103831380 150555501 167283890 200740668 250925835 301111002 334567780 501851670 602222004 752777505 1003703340 1505555010 3011110020