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201061116 = 2236192191
BaseRepresentation
bin10111111101111…
…11001011111100
3112000022222000000
423332333023330
5402432423431
631541234300
74660664004
oct1376771374
9460288000
10201061116
11a3548213
1257402990
1332869299
141c9bb004
15129b89e6
hexbfbf2fc

201061116 has 126 divisors (see below), whose sum is σ = 559685952. Its totient is φ = 63160560.

The previous prime is 201061103. The next prime is 201061127. The reversal of 201061116 is 611160102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1052581 + ... + 1052771.

It is an arithmetic number, because the mean of its divisors is an integer number (4441952).

Almost surely, 2201061116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201061116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279842976).

201061116 is an abundant number, since it is smaller than the sum of its proper divisors (358624836).

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

201061116 is a wasteful number, since it uses less digits than its factorization.

201061116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 201061116 is about 14179.6021100735. The cubic root of 201061116 is about 585.8359646014.

The spelling of 201061116 in words is "two hundred one million, sixty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 191 228 243 324 342 361 382 486 513 573 684 722 729 764 972 1026 1083 1146 1444 1458 1539 1719 2052 2166 2292 2916 3078 3249 3438 3629 4332 4617 5157 6156 6498 6876 7258 9234 9747 10314 10887 12996 13851 14516 15471 18468 19494 20628 21774 27702 29241 30942 32661 38988 43548 46413 55404 58482 61884 65322 68951 87723 92826 97983 116964 130644 137902 139239 175446 185652 195966 206853 263169 275804 278478 293949 350892 391932 413706 526338 556956 587898 620559 827412 881847 1052676 1175796 1241118 1763694 1861677 2482236 2645541 3527388 3723354 5291082 5585031 7446708 10582164 11170062 16755093 22340124 33510186 50265279 67020372 100530558 201061116