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132333124240 = 24510936741351
BaseRepresentation
bin111101100111110101…
…0110011101010010000
3110122120112010020101201
41323033222303222100
54132004234433430
6140443142040544
712363223665562
oct1731752635220
9418515106351
10132333124240
1151138664989
1221792119154
13c62c376a15
1465952bb332
153697ac98ca
hex1ecfab3a90

132333124240 has 80 divisors (see below), whose sum is σ = 311350786560. Its totient is φ = 52303449600.

The previous prime is 132333124237. The next prime is 132333124241. The reversal of 132333124240 is 42421333231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1323331242402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132333124199 and 132333124208.

It is not an unprimeable number, because it can be changed into a prime (132333124241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3179565 + ... + 3220915.

It is an arithmetic number, because the mean of its divisors is an integer number (3891884832).

Almost surely, 2132333124240 is an apocalyptic number.

132333124240 is a gapful number since it is divisible by the number (10) 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 132333124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675393280).

132333124240 is an abundant number, since it is smaller than the sum of its proper divisors (179017662320).

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

132333124240 is a wasteful number, since it uses less digits than its factorization.

132333124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41840 (or 41834 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 132333124240 its reverse (42421333231), we get a palindrome (174754457471).

The spelling of 132333124240 in words is "one hundred thirty-two billion, three hundred thirty-three million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 367 436 545 734 872 1090 1468 1744 1835 2180 2936 3670 4360 5872 7340 8720 14680 29360 40003 41351 80006 82702 160012 165404 200015 206755 320024 330808 400030 413510 640048 661616 800060 827020 1600120 1654040 3200240 3308080 4507259 9014518 15175817 18029036 22536295 30351634 36058072 45072590 60703268 72116144 75879085 90145180 121406536 151758170 180290360 242813072 303516340 360580720 607032680 1214065360 1654164053 3308328106 6616656212 8270820265 13233312424 16541640530 26466624848 33083281060 66166562120 132333124240