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201003111192 = 233132339177151
BaseRepresentation
bin1011101100110010111…
…0000001001100011000
3201012211020211000100210
42323030232001030120
511243123244024232
6232201202131120
720344021153302
oct2731456011430
9635736730323
10201003111192
117827701a514
1232b57650aa0
1315c540a84b0
149a2b3dc972
15536656c5cc
hex2eccb81318

201003111192 has 128 divisors (see below), whose sum is σ = 564914165760. Its totient is φ = 59134732800.

The previous prime is 201003111149. The next prime is 201003111209. The reversal of 201003111192 is 291111300102.

It is a happy number.

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, 28104817 + ... + 28111967.

It is an arithmetic number, because the mean of its divisors is an integer number (4413391920).

Almost surely, 2201003111192 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 201003111192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282457082880).

201003111192 is an abundant number, since it is smaller than the sum of its proper divisors (363911054568).

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

201003111192 is a wasteful number, since it uses less digits than its factorization.

201003111192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113 (or 11109 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 201003111192 its reverse (291111300102), we get a palindrome (492114411294).

The spelling of 201003111192 in words is "two hundred one billion, three million, one hundred eleven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 3917 7151 7176 7834 11751 14302 15668 21453 23502 28604 31336 42906 47004 50921 57208 85812 90091 92963 94008 101842 152763 164473 171624 180182 185926 203684 270273 278889 305526 328946 360364 371852 407368 493419 540546 557778 611052 657892 720728 743704 986838 1081092 1115556 1171183 1222104 1315784 1973676 2138149 2162184 2231112 2342366 3513549 3947352 4276298 4684732 6414447 7027098 8552596 9369464 12828894 14054196 17105192 25657788 28010467 28108392 51315576 56020934 84031401 112041868 168062802 224083736 336125604 364136071 644240741 672251208 728272142 1092408213 1288481482 1456544284 1932722223 2184816426 2576962964 2913088568 3865444446 4369632852 5153925928 7730888892 8375129633 8739265704 15461777784 16750259266 25125388899 33500518532 50250777798 67001037064 100501555596 201003111192