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311120330000 = 245431112033
BaseRepresentation
bin1001000011100000011…
…01110111110100010000
31002202001111210022201012
410201300031313310100
520044133301030000
6354532100230052
731322565112454
oct4416015676420
91082044708635
10311120330000
1110aa44351877
125036969b328
132345296742c
14110b5db6664
15815dabb735
hex4870377d10

311120330000 has 50 divisors (see below), whose sum is σ = 753253455174. Its totient is φ = 124448128000.

The previous prime is 311120329951. The next prime is 311120330023. The reversal of 311120330000 is 33021113.

It can be written as a sum of positive squares in 5 ways, for example, as 173042688256 + 138077641744 = 415984^2 + 371588^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15546017 + ... + 15566016.

Almost surely, 2311120330000 is an apocalyptic number.

It is an amenable number.

311120330000 is an abundant number, since it is smaller than the sum of its proper divisors (442133125174).

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

311120330000 is an equidigital number, since it uses as much as digits as its factorization.

311120330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31112061 (or 31112040 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 311120330000 its reverse (33021113), we get a palindrome (311153351113).

The spelling of 311120330000 in words is "three hundred eleven billion, one hundred twenty million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 31112033 62224066 124448132 155560165 248896264 311120330 497792528 622240660 777800825 1244481320 1555601650 2488962640 3111203300 3889004125 6222406600 7778008250 12444813200 15556016500 19445020625 31112033000 38890041250 62224066000 77780082500 155560165000 311120330000