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132111012320 = 2557467252583
BaseRepresentation
bin111101100001001101…
…1100001000111100000
3110122000001011210010022
41323002123201013200
54131030404343240
6140405125253012
712354556035140
oct1730233410740
9418001153108
10132111012320
1151034249a11
122172b864168
13c5c5349c51
1465739c0920
1536833539b5
hex1ec26e11e0

132111012320 has 96 divisors (see below), whose sum is σ = 357464959488. Its totient is φ = 45198033408.

The previous prime is 132111012317. The next prime is 132111012331. The reversal of 132111012320 is 23210111231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396749 + ... + 649331.

It is an arithmetic number, because the mean of its divisors is an integer number (3723593328).

Almost surely, 2132111012320 is an apocalyptic number.

132111012320 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 132111012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178732479744).

132111012320 is an abundant number, since it is smaller than the sum of its proper divisors (225353947168).

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

132111012320 is a wasteful number, since it uses less digits than its factorization.

132111012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253072 (or 253064 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 132111012320 its reverse (23210111231), we get a palindrome (155321123551).

The spelling of 132111012320 in words is "one hundred thirty-two billion, one hundred eleven million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 467 560 934 1120 1868 2335 3269 3736 4670 6538 7472 9340 13076 14944 16345 18680 26152 32690 37360 52304 65380 74720 104608 130760 252583 261520 505166 523040 1010332 1262915 1768081 2020664 2525830 3536162 4041328 5051660 7072324 8082656 8840405 10103320 14144648 17680810 20206640 28289296 35361620 40413280 56578592 70723240 117956261 141446480 235912522 282892960 471825044 589781305 825693827 943650088 1179562610 1651387654 1887300176 2359125220 3302775308 3774600352 4128469135 4718250440 6605550616 8256938270 9436500880 13211101232 16513876540 18873001760 26422202464 33027753080 66055506160 132111012320