Search a number
-
+
132000000312 = 23337271548519
BaseRepresentation
bin111101011101111010…
…0000010100100111000
3110121201022021210021110
41322323310002210320
54130314000002222
6140350122040320
712352040330025
oct1727364024470
9417638253243
10132000000312
1150a87616a54
12216ba6490a0
13c5a834c07b
146562d6454c
15367872630c
hex1ebbd02938

132000000312 has 64 divisors (see below), whose sum is σ = 340170163200. Its totient is φ = 42652759680.

The previous prime is 132000000299. The next prime is 132000000313. The reversal of 132000000312 is 213000000231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132000000313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33612 + ... + 514907.

It is an arithmetic number, because the mean of its divisors is an integer number (5315158800).

Almost surely, 2132000000312 is an apocalyptic number.

132000000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132000000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170085081600).

132000000312 is an abundant number, since it is smaller than the sum of its proper divisors (208170162888).

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

132000000312 is a wasteful number, since it uses less digits than its factorization.

132000000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548836 (or 548832 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 132000000312 its reverse (213000000231), we get a palindrome (345000000543).

The spelling of 132000000312 in words is "one hundred thirty-two billion, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 271 296 444 542 813 888 1084 1626 2168 3252 6504 10027 20054 30081 40108 60162 80216 120324 240648 548519 1097038 1645557 2194076 3291114 4388152 6582228 13164456 20295203 40590406 60885609 81180812 121771218 148648649 162361624 243542436 297297298 445945947 487084872 594594596 891891894 1189189192 1783783788 3567567576 5500000013 11000000026 16500000039 22000000052 33000000078 44000000104 66000000156 132000000312