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312113121220 = 225197001117319
BaseRepresentation
bin1001000101010110110…
…01000100011111000100
31002211121200220100020101
410202223121010133010
520103201424334340
6355214403213444
731356311520505
oct4425331043704
91084550810211
10312113121220
111104037a158a
12505a6077284
132358054c364
141116bba8bac
1581bad26c9a
hex48ab6447c4

312113121220 has 48 divisors (see below), whose sum is σ = 690038697600. Its totient is φ = 118256544000.

The previous prime is 312113121179. The next prime is 312113121227. The reversal of 312113121220 is 22121311213.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (312113121227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2601721 + ... + 2719039.

It is an arithmetic number, because the mean of its divisors is an integer number (14375806200).

Almost surely, 2312113121220 is an apocalyptic number.

It is an amenable number.

312113121220 is an abundant number, since it is smaller than the sum of its proper divisors (377925576380).

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

312113121220 is a wasteful number, since it uses less digits than its factorization.

312113121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124348 (or 124346 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 312113121220 its reverse (22121311213), we get a palindrome (334234432433).

The spelling of 312113121220 in words is "three hundred twelve billion, one hundred thirteen million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 7001 14002 28004 35005 70010 117319 133019 140020 234638 266038 469276 532076 586595 665095 1173190 1330190 2229061 2346380 2660380 4458122 8916244 11145305 22290610 44581220 821350319 1642700638 3285401276 4106751595 8213503190 15605656061 16427006380 31211312122 62422624244 78028280305 156056560610 312113121220