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2010013110 = 233574125939
BaseRepresentation
bin111011111001110…
…0101110110110110
312012002012020122000
41313303211312312
513104030404420
6531241320130
7100544554350
oct16763456666
95162166560
102010013110
11941666666
12481196046
13260571b91
14150d440d0
15bb6de690
hex77ce5db6

2010013110 has 128 divisors (see below), whose sum is σ = 6275404800. Its totient is φ = 448208640.

The previous prime is 2010013099. The next prime is 2010013133. The reversal of 2010013110 is 113100102.

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 = 2010013092 and 2010013101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64521 + ... + 90459.

It is an arithmetic number, because the mean of its divisors is an integer number (49026600).

Almost surely, 22010013110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010013110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137702400).

2010013110 is an abundant number, since it is smaller than the sum of its proper divisors (4265391690).

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

2010013110 is a wasteful number, since it uses less digits than its factorization.

2010013110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26003 (or 25997 counting only the distinct ones).

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

The square root of 2010013110 is about 44833.1697518701. The cubic root of 2010013110 is about 1262.0201720032.

Adding to 2010013110 its reverse (113100102), we get a palindrome (2123113212).

The spelling of 2010013110 in words is "two billion, ten million, thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 82 90 105 123 126 135 189 205 210 246 270 287 315 369 378 410 574 615 630 738 861 945 1107 1230 1435 1722 1845 1890 2214 2583 2870 3690 4305 5166 5535 7749 8610 11070 12915 15498 25830 25939 38745 51878 77490 77817 129695 155634 181573 233451 259390 363146 389085 466902 544719 700353 778170 907865 1063499 1089438 1167255 1400706 1634157 1815730 2126998 2334510 2723595 3190497 3268314 3501765 4902471 5317495 5447190 6380994 7003530 7444493 8170785 9571491 9804942 10634990 14888986 15952485 16341570 19142982 22333479 24512355 28714473 31904970 37222465 44666958 47857455 49024710 57428946 67000437 74444930 95714910 111667395 134000874 143572365 201001311 223334790 287144730 335002185 402002622 670004370 1005006555 2010013110