Search a number
-
+
131234332104 = 233247191277733
BaseRepresentation
bin111101000111000101…
…1001111110111001000
3110112201221112210221200
41322032023033313020
54122231442111404
6140142131104200
712324052263141
oct1721613176710
9415657483850
10131234332104
11507243a5107
1221526142060
13c4b5829a65
1464cd3b4ac8
1536313d1839
hex1e8e2cfdc8

131234332104 has 192 divisors, whose sum is σ = 366705930240. Its totient is φ = 42378232320.

The previous prime is 131234332091. The next prime is 131234332153. The reversal of 131234332104 is 401233432131.

It is a happy number.

131234332104 is a `hidden beast` number, since 1 + 3 + 12 + 3 + 433 + 210 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179036922 + ... + 179037654.

It is an arithmetic number, because the mean of its divisors is an integer number (1909926720).

Almost surely, 2131234332104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131234332104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183352965120).

131234332104 is an abundant number, since it is smaller than the sum of its proper divisors (235471598136).

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

131234332104 is a wasteful number, since it uses less digits than its factorization.

131234332104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131234332104 its reverse (401233432131), we get a palindrome (532467764235).

The spelling of 131234332104 in words is "one hundred thirty-one billion, two hundred thirty-four million, three hundred thirty-two thousand, one hundred four".