Search a number
-
+
204200134000 = 2453102100067
BaseRepresentation
bin1011111000101101000…
…1101100010101110000
3201112002001120121011221
42332023101230111300
511321200213242000
6233450325314424
720516161333432
oct2761321542560
9645061517157
10204200134000
117966771a025
12336aa265a14
1316343543b75
149c51c50652
1554a207d61a
hex2f8b46c570

204200134000 has 40 divisors (see below), whose sum is σ = 493755928848. Its totient is φ = 81680052800.

The previous prime is 204200133989. The next prime is 204200134003. The reversal of 204200134000 is 431002402.

204200134000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204200134003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51048034 + ... + 51052033.

Almost surely, 2204200134000 is an apocalyptic number.

204200134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204200134000 is an abundant number, since it is smaller than the sum of its proper divisors (289555794848).

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

204200134000 is a wasteful number, since it uses less digits than its factorization.

204200134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102100090 (or 102100074 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 204200134000 its reverse (431002402), we get a palindrome (204631136402).

The spelling of 204200134000 in words is "two hundred four billion, two hundred million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 102100067 204200134 408400268 510500335 816800536 1021000670 1633601072 2042001340 2552501675 4084002680 5105003350 8168005360 10210006700 12762508375 20420013400 25525016750 40840026800 51050033500 102100067000 204200134000