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200112011010 = 23253785770121
BaseRepresentation
bin1011101001011110011…
…0101111011100000010
3201010112011001102201100
42322113212233130002
511234312133323020
6231532530515230
720312651012502
oct2722746573402
9633464042640
10200112011010
117795a01678a
1232949135b16
1315b415a9992
149984d1ba02
1553131eca90
hex2e979af702

200112011010 has 96 divisors (see below), whose sum is σ = 534984298992. Its totient is φ = 51859630080.

The previous prime is 200112010951. The next prime is 200112011051. The reversal of 200112011010 is 10110211002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 130797232281 + 69314778729 = 361659^2 + 263277^2 .

It is a super-3 number, since 3×2001120110103 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 200112010983 and 200112011001.

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, 2818750 + ... + 2888870.

Almost surely, 2200112011010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200112011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267492149496).

200112011010 is an abundant number, since it is smaller than the sum of its proper divisors (334872287982).

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

200112011010 is a wasteful number, since it uses less digits than its factorization.

200112011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71028 (or 71025 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200112011010 its reverse (10110211002), we get a palindrome (210222222012).

The spelling of 200112011010 in words is "two hundred billion, one hundred twelve million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 857 1110 1665 1714 2571 3330 4285 5142 7713 8570 12855 15426 25710 31709 38565 63418 70121 77130 95127 140242 158545 190254 210363 285381 317090 350605 420726 475635 570762 631089 701210 951270 1051815 1262178 1426905 2103630 2594477 2853810 3155445 5188954 6310890 7783431 12972385 15566862 23350293 25944770 38917155 46700586 60093697 77834310 116751465 120187394 180281091 233502930 300468485 360562182 540843273 600936970 901405455 1081686546 1802810910 2223466789 2704216365 4446933578 5408432730 6670400367 11117333945 13340800734 20011201101 22234667890 33352001835 40022402202 66704003670 100056005505 200112011010