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132104334221200 = 24521122729428393
BaseRepresentation
bin11110000010010111101111…
…111010100001111110010000
3122022202001101012002201201201
4132002113233322201332100
5114303344134030034300
61144543520543240544
736553136360360455
oct3602275772417620
9568661335081651
10132104334221200
1139102151795700
12129968562a9154
13589350156a903
142489c5358382c
15104150c05466a
hex7825efea1f90

132104334221200 has 90 divisors (see below), whose sum is σ = 348856431322322. Its totient is φ = 48037939699200.

The previous prime is 132104334221161. The next prime is 132104334221291. The reversal of 132104334221200 is 2122433401231.

It can be written as a sum of positive squares in 3 ways, for example, as 46801524874896 + 85302809346304 = 6841164^2 + 9235952^2 .

It is a super-4 number, since 4×1321043342212004 (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1364665797 + ... + 1364762596.

Almost surely, 2132104334221200 is an apocalyptic number.

132104334221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132104334221200 is an abundant number, since it is smaller than the sum of its proper divisors (216752097101122).

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

132104334221200 is a wasteful number, since it uses less digits than its factorization.

132104334221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729428433 (or 2729428411 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132104334221200 its reverse (2122433401231), we get a palindrome (134226767622431).

The spelling of 132104334221200 in words is "one hundred thirty-two trillion, one hundred four billion, three hundred thirty-four million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 2729428393 5458856786 10917713572 13647141965 21835427144 27294283930 30023712323 43670854288 54588567860 60047424646 68235709825 109177135720 120094849292 136471419650 150118561615 218354271440 240189698584 272942839300 300237123230 330260835553 480379397168 545885678600 600474246460 660521671106 750592808075 1091771357200 1200948492920 1321043342212 1501185616150 1651304177765 2401896985840 2642086684424 3002371232300 3302608355530 5284173368848 6004742464600 6605216711060 8256520888825 12009484929200 13210433422120 16513041777650 26420866844240 33026083555300 66052167110600 132104334221200