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132321211300000 = 25554792762447
BaseRepresentation
bin11110000101100001101110…
…110010111011100010100000
3122100111210011201120211221201
4132011201232302323202200
5114320422320043100000
61145231305243530544
736604614653210032
oct3605415662734240
9570453151524851
10132321211300000
1139186124198a08
1212a108a1b29a54
1358aaab5272738
142496548ca7c52
151046ea1ebe96a
hex78586ecbb8a0

132321211300000 has 144 divisors (see below), whose sum is σ = 326293285893120. Its totient is φ = 52817967520000.

The previous prime is 132321211299919. The next prime is 132321211300001. The reversal of 132321211300000 is 3112123231.

It is not an unprimeable number, because it can be changed into a prime (132321211300001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46518777 + ... + 49281223.

It is an arithmetic number, because the mean of its divisors is an integer number (2265925596480).

Almost surely, 2132321211300000 is an apocalyptic number.

132321211300000 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 132321211300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163146642946560).

132321211300000 is an abundant number, since it is smaller than the sum of its proper divisors (193972074593120).

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

132321211300000 is an frugal number, since it uses more digits than its factorization.

132321211300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762961 (or 2762933 counting only the distinct ones).

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

Adding to 132321211300000 its reverse (3112123231), we get a palindrome (132324323423231).

The spelling of 132321211300000 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, two hundred eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 479 500 625 800 958 1000 1250 1916 2000 2395 2500 3125 3832 4000 4790 5000 6250 7664 9580 10000 11975 12500 15328 19160 20000 23950 25000 38320 47900 50000 59875 76640 95800 100000 119750 191600 239500 299375 383200 479000 598750 958000 1197500 1496875 1916000 2395000 2762447 2993750 4790000 5524894 5987500 9580000 11049788 11975000 13812235 22099576 23950000 27624470 44199152 47900000 55248940 69061175 88398304 110497880 138122350 220995760 276244700 345305875 441991520 552489400 690611750 1104978800 1323212113 1381223500 1726529375 2209957600 2646424226 2762447000 3453058750 5292848452 5524894000 6616060565 6906117500 8632646875 10585696904 11049788000 13232121130 13812235000 17265293750 21171393808 26464242260 27624470000 33080302825 34530587500 42342787616 52928484520 55248940000 66160605650 69061175000 105856969040 132321211300 138122350000 165401514125 211713938080 264642422600 276244700000 330803028250 529284845200 661606056500 827007570625 1058569690400 1323212113000 1654015141250 2646424226000 3308030282500 4135037853125 5292848452000 6616060565000 8270075706250 13232121130000 16540151412500 26464242260000 33080302825000 66160605650000 132321211300000