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203145201 = 32731414359
BaseRepresentation
bin11000001101110…
…11111111110001
3112011020211211100
430012323333301
5404001121301
632054035013
75014464030
oct1406737761
9464224740
10203145201
11a4740aa6
1258048a69
1333118a7c
141cda0717
1512c7b286
hexc1bbff1

203145201 has 96 divisors (see below), whose sum is σ = 369008640. Its totient is φ = 105235200.

The previous prime is 203145197. The next prime is 203145221. The reversal of 203145201 is 102541302.

It is not a de Polignac number, because 203145201 - 22 = 203145197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (203145221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3443110 + ... + 3443168.

It is an arithmetic number, because the mean of its divisors is an integer number (3843840).

Almost surely, 2203145201 is an apocalyptic number.

203145201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

203145201 is a deficient number, since it is larger than the sum of its proper divisors (165863439).

203145201 is a wasteful number, since it uses less digits than its factorization.

203145201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 203145201 is about 14252.9014940818. The cubic root of 203145201 is about 587.8531581815.

Adding to 203145201 its reverse (102541302), we get a palindrome (305686503).

The spelling of 203145201 in words is "two hundred three million, one hundred forty-five thousand, two hundred one".

Divisors: 1 3 7 9 21 31 41 43 59 63 93 123 129 177 217 279 287 301 369 387 413 531 651 861 903 1239 1271 1333 1763 1829 1953 2419 2537 2583 2709 3717 3813 3999 5289 5487 7257 7611 8897 9331 11439 11997 12341 12803 15867 16461 16933 17759 21771 22833 26691 27993 37023 38409 50799 53277 54653 74989 78647 80073 83979 104017 111069 115227 152397 159831 163959 224967 235941 312051 382571 491877 524923 550529 674901 707823 728119 936153 1147713 1574769 1651587 2184357 3224527 3443139 4724307 4954761 6553071 9673581 22571689 29020743 67715067 203145201