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132033012320 = 2551126819887
BaseRepresentation
bin111101011110111000…
…1111110001001100000
3110121210121101222020102
41322331301332021200
54130400422343240
6140353301401532
712352621041656
oct1727561761140
9417717358212
10132033012320
1150aa4214400
12217097092a8
13c5b2139cc1
1465674b8dd6
15367b597815
hex1ebdc7e260

132033012320 has 72 divisors (see below), whose sum is σ = 342863049312. Its totient is φ = 48011997440.

The previous prime is 132033012313. The next prime is 132033012329. The reversal of 132033012320 is 23210330231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132033012292 and 132033012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132033012329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3390584 + ... + 3429303.

It is an arithmetic number, because the mean of its divisors is an integer number (4761986796).

Almost surely, 2132033012320 is an apocalyptic number.

132033012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132033012320 is an abundant number, since it is smaller than the sum of its proper divisors (210830036992).

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

132033012320 is a wasteful number, since it uses less digits than its factorization.

132033012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819924 (or 6819905 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 132033012320 its reverse (23210330231), we get a palindrome (155243342551).

The spelling of 132033012320 in words is "one hundred thirty-two billion, thirty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 6819887 13639774 27279548 34099435 54559096 68198870 75018757 109118192 136397740 150037514 218236384 272795480 300075028 375093785 545590960 600150056 750187570 825206327 1091181920 1200300112 1500375140 1650412654 2400600224 3000750280 3300825308 4126031635 6001500560 6601650616 8252063270 12003001120 13203301232 16504126540 26406602464 33008253080 66016506160 132033012320