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201043403022 = 237111950345533
BaseRepresentation
bin1011101100111100011…
…1101110000100001110
3201012221001122001100210
42323033013232010032
511243214102344042
6232205201503250
720345020505220
oct2731707560416
9635831561323
10201043403022
117829783a350
1232b69041b26
1315c5c544b07
149a328ca410
155369d7aa9c
hex2ecf1ee10e

201043403022 has 128 divisors (see below), whose sum is σ = 528748093440. Its totient is φ = 49371258240.

The previous prime is 201043403021. The next prime is 201043403047. The reversal of 201043403022 is 220304340102.

It is a super-3 number, since 3×2010434030223 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 201043403022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201043403021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4392568 + ... + 4438100.

It is an arithmetic number, because the mean of its divisors is an integer number (4130844480).

Almost surely, 2201043403022 is an apocalyptic number.

201043403022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201043403022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264374046720).

201043403022 is an abundant number, since it is smaller than the sum of its proper divisors (327704690418).

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

201043403022 is a wasteful number, since it uses less digits than its factorization.

201043403022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46078.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 201043403022 its reverse (220304340102), we get a palindrome (421347743124).

The spelling of 201043403022 in words is "two hundred one billion, forty-three million, four hundred three thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 503 627 798 1006 1254 1463 1509 2926 3018 3521 4389 5533 7042 8778 9557 10563 11066 16599 19114 21126 28671 33198 38731 45533 57342 66899 77462 91066 105127 116193 133798 136599 200697 210254 232386 273198 315381 318731 401394 500863 630762 637462 735889 865127 956193 1001726 1471778 1502589 1730254 1912386 2207667 2595381 3005178 3506041 4415334 5190762 6055889 7012082 9516397 10518123 12111778 18167667 19032794 21036246 22903099 28549191 36335334 45806198 57098382 66614779 68709297 133229558 137418594 160321693 199844337 251934089 320643386 399688674 435158881 480965079 503868178 755802267 870317762 961930158 1305476643 1511604534 1763538623 2610953286 3046112167 3527077246 4786747691 5290615869 6092224334 9138336501 9573495382 10581231738 14360243073 18276673002 28720486146 33507233837 67014467674 100521701511 201043403022