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203040100 = 22525093989
BaseRepresentation
bin11000001101000…
…10010101100100
3112011001111122201
430012202111210
5403434240400
632051504244
75013545434
oct1406422544
9464044581
10203040100
11a467a03a
1257bb8084
13330acc93
141cd742c4
1512c5a06a
hexc1a2564

203040100 has 36 divisors (see below), whose sum is σ = 441573300. Its totient is φ = 81036160.

The previous prime is 203040091. The next prime is 203040121. The reversal of 203040100 is 1040302.

It can be written as a sum of positive squares in 6 ways, for example, as 34596 + 203005504 = 186^2 + 14248^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48906 + ... + 52894.

It is an arithmetic number, because the mean of its divisors is an integer number (12265925).

Almost surely, 2203040100 is an apocalyptic number.

203040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203040100 is an abundant number, since it is smaller than the sum of its proper divisors (238533200).

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

203040100 is a wasteful number, since it uses less digits than its factorization.

203040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 203040100 is about 14249.2140134114. The cubic root of 203040100 is about 587.7517617213.

Adding to 203040100 its reverse (1040302), we get a palindrome (204080402).

The spelling of 203040100 in words is "two hundred three million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 509 1018 2036 2545 3989 5090 7978 10180 12725 15956 19945 25450 39890 50900 79780 99725 199450 398900 2030401 4060802 8121604 10152005 20304010 40608020 50760025 101520050 203040100