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103141244232 = 233213110193637
BaseRepresentation
bin110000000001110110…
…0100111110101001000
3100212020002110002020200
41200003230213311020
53142213124303412
6115214334452200
710310636052645
oct1400354476510
9325202402220
10103141244232
113a8185a8414
1217ba5964060
139959548740
144dc6312dcc
152a39dcd9dc
hex1803b27d48

103141244232 has 48 divisors (see below), whose sum is σ = 300828631740. Its totient is φ = 31735767168.

The previous prime is 103141244131. The next prime is 103141244237. The reversal of 103141244232 is 232442141301.

103141244232 is a `hidden beast` number, since 10 + 3 + 1 + 412 + 4 + 4 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102084084036 + 1057160196 = 319506^2 + 32514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103141244196 and 103141244205.

It is not an unprimeable number, because it can be changed into a prime (103141244237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55095883 + ... + 55097754.

Almost surely, 2103141244232 is an apocalyptic number.

103141244232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103141244232 is an abundant number, since it is smaller than the sum of its proper divisors (197687387508).

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

103141244232 is a wasteful number, since it uses less digits than its factorization.

103141244232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110193662 (or 110193655 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103141244232 its reverse (232442141301), we get a palindrome (335583385533).

The spelling of 103141244232 in words is "one hundred three billion, one hundred forty-one million, two hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 110193637 220387274 330580911 440774548 661161822 881549096 991742733 1322323644 1432517281 1983485466 2644647288 2865034562 3966970932 4297551843 5730069124 7933941864 8595103686 11460138248 12892655529 17190207372 25785311058 34380414744 51570622116 103141244232