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325215414452100 = 223527121067724751
BaseRepresentation
bin100100111110010000001110…
…1010000001111111110000100
31120122111021211101211012111210
41021330200131100033332010
5320111312132044431400
63111401522054131420
7125334016100063544
oct11174403520177604
91518437741735453
10325215414452100
11946950a0123227
1230584b14350b70
1310c608b3449743
145a4471d7c9324
15278e8ec76a950
hex127c81d40ff84

325215414452100 has 144 divisors (see below), whose sum is σ = 954256119699456. Its totient is φ = 85498467600000.

The previous prime is 325215414452069. The next prime is 325215414452107. The reversal of 325215414452100 is 1254414512523.

It is not an unprimeable number, because it can be changed into a prime (325215414452107) 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 47 ways as a sum of consecutive naturals, for example, 448364725 + ... + 449089475.

It is an arithmetic number, because the mean of its divisors is an integer number (6626778609024).

Almost surely, 2325215414452100 is an apocalyptic number.

325215414452100 is a gapful number since it is divisible by the number (30) 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 325215414452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477128059849728).

325215414452100 is an abundant number, since it is smaller than the sum of its proper divisors (629040705247356).

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

325215414452100 is a wasteful number, since it uses less digits than its factorization.

325215414452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745906 (or 745899 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 325215414452100 its reverse (1254414512523), we get a palindrome (326469828964623).

The spelling of 325215414452100 in words is "three hundred twenty-five trillion, two hundred fifteen billion, four hundred fourteen million, four hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21067 21300 42134 63201 84268 105335 126402 210670 252804 316005 421340 526675 632010 724751 1053350 1264020 1449502 1495757 1580025 2106700 2174253 2899004 2991514 3160050 3623755 4348506 4487271 5983028 6320100 7247510 7478785 8697012 8974542 10871265 14495020 14957570 17949084 18118775 21742530 22436355 29915140 36237550 37393925 43485060 44872710 51457321 54356325 72475100 74787850 89745420 102914642 108712650 112181775 149575700 154371963 205829284 217425300 224363550 257286605 308743926 448727100 514573210 617487852 771859815 1029146420 1286433025 1543719630 2572866050 3087439260 3859299075 5145732100 7718598150 15268329317 15437196300 30536658634 45804987951 61073317268 76341646585 91609975902 152683293170 183219951804 229024939755 305366586340 381708232925 458049879510 763416465850 916099759020 1084051381507 1145124698775 1526832931700 2168102763014 2290249397550 3252154144521 4336205526028 4580498795100 5420256907535 6504308289042 10840513815070 13008616578084 16260770722605 21681027630140 27101284537675 32521541445210 54202569075350 65043082890420 81303853613025 108405138150700 162607707226050 325215414452100