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132131012032 = 268330781023
BaseRepresentation
bin111101100001110011…
…1110011110111000000
3110122001102210212120101
41323003213303313000
54131101014341112
6140411122052144
712355221033265
oct1730347636700
9418042725511
10132131012032
1151044569aa8
12217364aa054
13c5c95301b6
14657650926c
153684ea4757
hex1ec39f3dc0

132131012032 has 56 divisors (see below), whose sum is σ = 266224121856. Its totient is φ = 65056128768.

The previous prime is 132131011967. The next prime is 132131012033. The reversal of 132131012032 is 230210131231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131012033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1590273 + ... + 1671295.

It is an arithmetic number, because the mean of its divisors is an integer number (4754002176).

Almost surely, 2132131012032 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 132131012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133112060928).

132131012032 is an abundant number, since it is smaller than the sum of its proper divisors (134093109824).

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

132131012032 is an equidigital number, since it uses as much as digits as its factorization.

132131012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81425 (or 81415 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 132131012032 its reverse (230210131231), we get a palindrome (362341143263).

The spelling of 132131012032 in words is "one hundred thirty-two billion, one hundred thirty-one million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 83 166 307 332 614 664 1228 1328 2456 2656 4912 5312 9824 19648 25481 50962 81023 101924 162046 203848 324092 407696 648184 815392 1296368 1630784 2592736 5185472 6724909 13449818 24874061 26899636 49748122 53799272 99496244 107598544 198992488 215197088 397984976 430394176 795969952 1591939904 2064547063 4129094126 8258188252 16516376504 33032753008 66065506016 132131012032