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243422000100 = 223252270468889
BaseRepresentation
bin1110001010110100010…
…1001111001111100100
3212021022111102211122100
43202231011033033210
512442012013000400
6303454310132100
723405136601326
oct3425505171744
9767274384570
10243422000100
11942644115a4
123b215651030
1319c5432b166
14bad2d45616
1564ea5ac100
hex38ad14f3e4

243422000100 has 54 divisors (see below), whose sum is σ = 762992738690. Its totient is φ = 64912533120.

The previous prime is 243422000093. The next prime is 243422000141. The reversal of 243422000100 is 1000224342.

243422000100 is a `hidden beast` number, since 2 + 434 + 220 + 0 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4236447744 + 239185552356 = 65088^2 + 489066^2 .

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 17 ways as a sum of consecutive naturals, for example, 135233545 + ... + 135235344.

Almost surely, 2243422000100 is an apocalyptic number.

243422000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243422000100 is an abundant number, since it is smaller than the sum of its proper divisors (519570738590).

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

243422000100 is a wasteful number, since it uses less digits than its factorization.

243422000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270468909 (or 270468899 counting only the distinct ones).

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

Adding to 243422000100 its reverse (1000224342), we get a palindrome (244422224442).

The spelling of 243422000100 in words is "two hundred forty-three billion, four hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 270468889 540937778 811406667 1081875556 1352344445 1622813334 2434220001 2704688890 3245626668 4057033335 4868440002 5409377780 6761722225 8114066670 9736880004 12171100005 13523444450 16228133340 20285166675 24342200010 27046888900 40570333350 48684400020 60855500025 81140666700 121711000050 243422000100