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203415121 = 771319
BaseRepresentation
bin11000001111111…
…01111001010001
3112011202120002101
430013331321101
5404033240441
632103520401
75020000000
oct1407757121
9464676071
10203415121
11a4905878
1258159101
13331b18a0
141d030c37
1512cd1231
hexc1fde51

203415121 has 32 divisors (see below), whose sum is σ = 269024000. Its totient is φ = 152473104.

The previous prime is 203415119. The next prime is 203415131. The reversal of 203415121 is 121514302.

It is not a de Polignac number, because 203415121 - 21 = 203415119 is a prime.

It is a super-2 number, since 2×2034151212 = 82755422902889282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 203415121 = 493 + 5883 = 4413 + 4903.

It is not an unprimeable number, because it can be changed into a prime (203415131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10706050 + ... + 10706068.

It is an arithmetic number, because the mean of its divisors is an integer number (8407000).

Almost surely, 2203415121 is an apocalyptic number.

It is an amenable number.

203415121 is a deficient number, since it is larger than the sum of its proper divisors (65608879).

203415121 is an frugal number, since it uses more digits than its factorization.

203415121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 203415121 is about 14262.3672999962. The cubic root of 203415121 is about 588.1134040530.

Adding to 203415121 its reverse (121514302), we get a palindrome (324929423).

The spelling of 203415121 in words is "two hundred three million, four hundred fifteen thousand, one hundred twenty-one".

Divisors: 1 7 13 19 49 91 133 247 343 637 931 1729 2401 4459 6517 12103 16807 31213 45619 84721 117649 218491 319333 593047 823543 1529437 2235331 4151329 10706059 15647317 29059303 203415121