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203200101 = 32132375511
BaseRepresentation
bin11000001110010…
…01011001100101
3112011100122010200
430013021121211
5404004400401
632055141113
75015113056
oct1407113145
9464318120
10203200101
11a4779275
1258074799
1333137a60
141cdb672d
1512c8c686
hexc1c9665

203200101 has 24 divisors (see below), whose sum is σ = 329836416. Its totient is φ = 119607840.

The previous prime is 203200097. The next prime is 203200139. The reversal of 203200101 is 101002302.

It is a happy number.

It is not a de Polignac number, because 203200101 - 22 = 203200097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203200171) 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 23 ways as a sum of consecutive naturals, for example, 35065 + ... + 40446.

It is an arithmetic number, because the mean of its divisors is an integer number (13743184).

Almost surely, 2203200101 is an apocalyptic number.

It is an amenable number.

203200101 is a deficient number, since it is larger than the sum of its proper divisors (126636315).

203200101 is a wasteful number, since it uses less digits than its factorization.

203200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75553 (or 75550 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 203200101 is about 14254.8272876244. The cubic root of 203200101 is about 587.9061091928.

Adding to 203200101 its reverse (101002302), we get a palindrome (304202403).

The spelling of 203200101 in words is "two hundred three million, two hundred thousand, one hundred one".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 2691 75511 226533 679599 981643 1736753 2944929 5210259 8834787 15630777 22577789 67733367 203200101