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201144405 = 35711349499
BaseRepresentation
bin10111111110100…
…11100001010101
3112000111012020210
423333103201111
5402443110110
631543120033
74661461560
oct1377234125
9460435223
10201144405
11a35a4850
1257443019
1332898177
141c9dd4d7
15129d3520
hexbfd3855

201144405 has 64 divisors (see below), whose sum is σ = 403200000. Its totient is φ = 83185920.

The previous prime is 201144403. The next prime is 201144421. The reversal of 201144405 is 504441102.

It is a happy number.

It is not a de Polignac number, because 201144405 - 21 = 201144403 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201144403) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 402846 + ... + 403344.

It is an arithmetic number, because the mean of its divisors is an integer number (6300000).

Almost surely, 2201144405 is an apocalyptic number.

It is an amenable number.

201144405 is an abundant number, since it is smaller than the sum of its proper divisors (202055595).

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

201144405 is a wasteful number, since it uses less digits than its factorization.

201144405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 201144405 is about 14182.5387360656. The cubic root of 201144405 is about 585.9168470658.

Adding to 201144405 its reverse (504441102), we get a palindrome (705585507).

The spelling of 201144405 in words is "two hundred one million, one hundred forty-four thousand, four hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 349 385 499 1047 1155 1497 1745 2443 2495 3493 3839 5235 5489 7329 7485 10479 11517 12215 16467 17465 19195 26873 27445 36645 38423 52395 57585 80619 82335 115269 134365 174151 192115 403095 522453 576345 870755 1219057 1915661 2612265 3657171 5746983 6095285 9578305 13409627 18285855 28734915 40228881 67048135 201144405