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201012210 = 232572192399
BaseRepresentation
bin10111111101100…
…11001111110010
3112000020110220200
423332303033302
5402424342320
631540220030
74660401300
oct1376631762
9460213820
10201012210
11a35144a3
125739a616
133284cc49
141c9a7270
15129a9290
hexbfb33f2

201012210 has 144 divisors (see below), whose sum is σ = 640224000. Its totient is φ = 43509312.

The previous prime is 201012187. The next prime is 201012221. The reversal of 201012210 is 12210102.

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 = 201012192 and 201012201.

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 71 ways as a sum of consecutive naturals, for example, 82591 + ... + 84989.

It is an arithmetic number, because the mean of its divisors is an integer number (4446000).

Almost surely, 2201012210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320112000).

201012210 is an abundant number, since it is smaller than the sum of its proper divisors (439211790).

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

201012210 is a wasteful number, since it uses less digits than its factorization.

201012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201012210 is about 14177.8774857170. The cubic root of 201012210 is about 585.7884612725.

Adding to 201012210 its reverse (12210102), we get a palindrome (213222312).

The spelling of 201012210 in words is "two hundred one million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 210 245 266 285 294 315 342 399 441 490 570 630 665 735 798 855 882 931 1197 1330 1470 1710 1862 1995 2205 2394 2399 2793 3990 4410 4655 4798 5586 5985 7197 8379 9310 11970 11995 13965 14394 16758 16793 21591 23990 27930 33586 35985 41895 43182 45581 50379 71970 83790 83965 91162 100758 107955 117551 136743 151137 167930 215910 227905 235102 251895 273486 302274 319067 352653 410229 455810 503790 587755 638134 683715 705306 755685 820458 957201 1057959 1175510 1367430 1511370 1595335 1763265 1914402 2051145 2115918 2233469 2871603 3190670 3526530 4102290 4466938 4786005 5289795 5743206 6700407 9572010 10579590 11167345 13400814 14358015 20101221 22334690 28716030 33502035 40202442 67004070 100506105 201012210