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331312131200 = 2752103535041
BaseRepresentation
bin1001101001000111011…
…11011110110010000000
31011200011201020002202002
410310203233132302000
520412011401144300
6412111440443132
732636136435521
oct4644357366200
91150151202662
10331312131200
11118566073986
12542639194a8
132531ccb85ab
141206d948848
1589415c25d5
hex4d23bdec80

331312131200 has 48 divisors (see below), whose sum is σ = 818444507010. Its totient is φ = 132524851200.

The previous prime is 331312131197. The next prime is 331312131239. The reversal of 331312131200 is 2131213133.

It can be written as a sum of positive squares in 3 ways, for example, as 165050437696 + 166261693504 = 406264^2 + 407752^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51764321 + ... + 51770720.

Almost surely, 2331312131200 is an apocalyptic number.

It is an amenable number.

331312131200 is an abundant number, since it is smaller than the sum of its proper divisors (487132375810).

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

331312131200 is a wasteful number, since it uses less digits than its factorization.

331312131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103535065 (or 103535048 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 331312131200 its reverse (2131213133), we get a palindrome (333443344333).

The spelling of 331312131200 in words is "three hundred thirty-one billion, three hundred twelve million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 103535041 207070082 414140164 517675205 828280328 1035350410 1656560656 2070700820 2588376025 3313121312 4141401640 5176752050 6626242624 8282803280 10353504100 13252485248 16565606560 20707008200 33131213120 41414016400 66262426240 82828032800 165656065600 331312131200