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423042100200 = 23325211312171709
BaseRepresentation
bin1100010011111110100…
…01100010101111101000
31111102221112100100012100
412021333101202233220
523412342234201300
6522202020213400
742364243343466
oct6117721425750
91442845310170
10423042100200
11153458267315
1269ba3b3a260
1330b7b34ac65
14166924cd836
15b00e772700
hex627f462be8

423042100200 has 288 divisors, whose sum is σ = 1435306181400. Its totient is φ = 111655649280.

The previous prime is 423042100171. The next prime is 423042100219. The reversal of 423042100200 is 2001240324.

423042100200 is a `hidden beast` number, since 42 + 3 + 0 + 421 + 0 + 0 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 43790584644 + 379251515556 = 209262^2 + 615834^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 247536946 + ... + 247538654.

Almost surely, 2423042100200 is an apocalyptic number.

423042100200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423042100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717653090700).

423042100200 is an abundant number, since it is smaller than the sum of its proper divisors (1012264081200).

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

423042100200 is a wasteful number, since it uses less digits than its factorization.

423042100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 423042100200 its reverse (2001240324), we get a palindrome (425043340524).

The spelling of 423042100200 in words is "four hundred twenty-three billion, forty-two million, one hundred thousand, two hundred".