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132111143320 = 2351313917910211
BaseRepresentation
bin111101100001001110…
…0000001000110011000
3110122000001102102211011
41323002130001012120
54131030423041240
6140405132143304
712354560122102
oct1730234010630
9418001372734
10132111143320
1151034329382
122172b907b34
13c5c5394770
146573a16572
15368337c6ea
hex1ec2701198

132111143320 has 128 divisors (see below), whose sum is σ = 324251424000. Its totient is φ = 48153300480.

The previous prime is 132111143309. The next prime is 132111143323. The reversal of 132111143320 is 23341111231.

It is a junction number, because it is equal to n+sod(n) for n = 132111143291 and 132111143300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132111143323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12933015 + ... + 12943225.

It is an arithmetic number, because the mean of its divisors is an integer number (2533214250).

Almost surely, 2132111143320 is an apocalyptic number.

132111143320 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 132111143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162125712000).

132111143320 is an abundant number, since it is smaller than the sum of its proper divisors (192140280680).

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

132111143320 is a wasteful number, since it uses less digits than its factorization.

132111143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 132111143320 its reverse (23341111231), we get a palindrome (155452254551).

The spelling of 132111143320 in words is "one hundred thirty-two billion, one hundred eleven million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 139 179 260 278 358 520 556 695 716 895 1112 1390 1432 1790 1807 2327 2780 3580 3614 4654 5560 7160 7228 9035 9308 10211 11635 14456 18070 18616 20422 23270 24881 36140 40844 46540 49762 51055 72280 81688 93080 99524 102110 124405 132743 199048 204220 248810 265486 323453 408440 497620 530972 646906 663715 995240 1061944 1293812 1327430 1419329 1617265 1827769 2587624 2654860 2838658 3234530 3655538 5309720 5677316 6469060 7096645 7311076 9138845 11354632 12938120 14193290 14622152 18277690 18451277 23760997 28386580 36555380 36902554 47521994 56773160 73110760 73805108 92256385 95043988 118804985 147610216 184512770 190087976 237609970 254059891 369025540 475219940 508119782 738051080 950439880 1016239564 1270299455 2032479128 2540598910 3302778583 5081197820 6605557166 10162395640 13211114332 16513892915 26422228664 33027785830 66055571660 132111143320