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100230544000 = 27536264409
BaseRepresentation
bin101110101011000110…
…1001011101010000000
3100120201020110012011101
41131112031023222000
53120233004402000
6114013440224144
710145543365306
oct1352615135200
9316636405141
10100230544000
1139564590234
121751300b054
1395b44cc502
144bcb914276
1529195c8e6a
hex175634ba80

100230544000 has 64 divisors (see below), whose sum is σ = 249198229800. Its totient is φ = 40092211200.

The previous prime is 100230543913. The next prime is 100230544091. The reversal of 100230544000 is 445032001.

It can be written as a sum of positive squares in 4 ways, for example, as 39805038144 + 60425505856 = 199512^2 + 245816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3116205 + ... + 3148204.

Almost surely, 2100230544000 is an apocalyptic number.

100230544000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100230544000 is an abundant number, since it is smaller than the sum of its proper divisors (148967685800).

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

100230544000 is an frugal number, since it uses more digits than its factorization.

100230544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264438 (or 6264416 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 100230544000 its reverse (445032001), we get a palindrome (100675576001).

The spelling of 100230544000 in words is "one hundred billion, two hundred thirty million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 6264409 12528818 25057636 31322045 50115272 62644090 100230544 125288180 156610225 200461088 250576360 313220450 400922176 501152720 626440900 783051125 801844352 1002305440 1252881800 1566102250 2004610880 2505763600 3132204500 4009221760 5011527200 6264409000 10023054400 12528818000 20046108800 25057636000 50115272000 100230544000