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203996961 = 347359783
BaseRepresentation
bin11000010100010…
…11111100100001
3112012212010020000
430022023330201
5404210400321
632124210213
75024642220
oct1412137441
9465763200
10203996961
11a5172a33
1258399969
133335667c
141d142cb7
1512d98826
hexc28bf21

203996961 has 20 divisors (see below), whose sum is σ = 348270912. Its totient is φ = 116569368.

The previous prime is 203996953. The next prime is 203996963. The reversal of 203996961 is 169699302.

It is a happy number.

It is not a de Polignac number, because 203996961 - 23 = 203996953 is a prime.

It is a super-2 number, since 2×2039969612 = 83229520194471042, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (203996963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179325 + ... + 180458.

Almost surely, 2203996961 is an apocalyptic number.

203996961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

203996961 is a deficient number, since it is larger than the sum of its proper divisors (144273951).

203996961 is an equidigital number, since it uses as much as digits as its factorization.

203996961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359802 (or 359793 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 203996961 is about 14282.7504704101. The cubic root of 203996961 is about 588.6736084908.

The spelling of 203996961 in words is "two hundred three million, nine hundred ninety-six thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 359783 1079349 2518481 3238047 7555443 9714141 22666329 29142423 67998987 203996961