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210200201112 = 2331115149910567
BaseRepresentation
bin1100001111000011101…
…0001000011110011000
3202002120012202120220210
43003300322020132120
511420442222413422
6240321543451120
721120646141446
oct3036072103630
9662505676823
10210200201112
1181166596280
12348a3756aa0
1316a8b634335
14a260a79b96
155703bcb10c
hex30f0e88798

210200201112 has 128 divisors (see below), whose sum is σ = 578280960000. Its totient is φ = 63142416000.

The previous prime is 210200201051. The next prime is 210200201131. The reversal of 210200201112 is 211102002012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19886853 + ... + 19897419.

It is an arithmetic number, because the mean of its divisors is an integer number (4517820000).

Almost surely, 2210200201112 is an apocalyptic number.

210200201112 is a gapful number since it is divisible by the number (22) 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 210200201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289140480000).

210200201112 is an abundant number, since it is smaller than the sum of its proper divisors (368080758888).

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

210200201112 is a wasteful number, since it uses less digits than its factorization.

210200201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11237 (or 11233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210200201112 its reverse (211102002012), we get a palindrome (421302203124).

Subtracting 210200201112 from its reverse (211102002012), we obtain a square (901800900 = 300302).

The spelling of 210200201112 in words is "two hundred ten billion, two hundred million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 302 453 499 604 906 998 1208 1497 1661 1812 1996 2994 3322 3624 3992 4983 5489 5988 6644 9966 10567 10978 11976 13288 16467 19932 21134 21956 31701 32934 39864 42268 43912 63402 65868 75349 84536 116237 126804 131736 150698 226047 232474 253608 301396 348711 452094 464948 602792 697422 828839 904188 929896 1394844 1595617 1657678 1808376 2486517 2789688 3191234 3315356 4786851 4973034 5272933 6382468 6630712 9573702 9946068 10545866 12764936 15818799 17551787 19147404 19892136 21091732 31637598 35103574 38294808 42183464 52655361 58002263 63275196 70207148 105310722 116004526 126550392 140414296 174006789 210621444 232009052 348013578 421242888 464018104 696027156 796212883 1392054312 1592425766 2388638649 3184851532 4777277298 6369703064 8758341713 9554554596 17516683426 19109109192 26275025139 35033366852 52550050278 70066733704 105100100556 210200201112