Search a number
-
+
312100230132 = 223228613030217
BaseRepresentation
bin1001000101010101001…
…11111001001111110100
31002211120210122101222200
410202222213321033310
520103140124331012
6355213223024500
731356064120245
oct4425247711764
91084523571880
10312100230132
111103a7497299
12505a189b130
132357a9878b2
141116a1b0ccc
1581b9b2c3dc
hex48aa9f93f4

312100230132 has 36 divisors (see below), whose sum is σ = 789196036356. Its totient is φ = 103997013120.

The previous prime is 312100230103. The next prime is 312100230149. The reversal of 312100230132 is 231032001213.

312100230132 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 248326808976 + 63773421156 = 498324^2 + 252534^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1412113 + ... + 1618104.

It is an arithmetic number, because the mean of its divisors is an integer number (21922112121).

Almost surely, 2312100230132 is an apocalyptic number.

It is an amenable number.

312100230132 is an abundant number, since it is smaller than the sum of its proper divisors (477095806224).

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

312100230132 is a wasteful number, since it uses less digits than its factorization.

312100230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033088 (or 3033083 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312100230132 its reverse (231032001213), we get a palindrome (543132231345).

The spelling of 312100230132 in words is "three hundred twelve billion, one hundred million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2861 5722 8583 11444 17166 25749 34332 51498 102996 3030217 6060434 9090651 12120868 18181302 27271953 36362604 54543906 109087812 8669450837 17338901674 26008352511 34677803348 52016705022 78025057533 104033410044 156050115066 312100230132