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312210221112 = 23327359400727
BaseRepresentation
bin1001000101100010010…
…11011110100000111000
31002211212110121112020200
410202301023132200320
520103401304033422
6355232152322200
731361601043536
oct4426113364070
91084773545220
10312210221112
11110453592129
12506126a3360
13235976b8b0a
141117aa43156
1581c46072ac
hex48b12de838

312210221112 has 48 divisors (see below), whose sum is σ = 857152505040. Its totient is φ = 102644454528.

The previous prime is 312210221111. The next prime is 312210221137. The reversal of 312210221112 is 211122012213.

312210221112 is a `hidden beast` number, since 312 + 21 + 0 + 221 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312210221111) 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 11 ways as a sum of consecutive naturals, for example, 29695108 + ... + 29705619.

It is an arithmetic number, because the mean of its divisors is an integer number (17857343855).

Almost surely, 2312210221112 is an apocalyptic number.

It is an amenable number.

312210221112 is an abundant number, since it is smaller than the sum of its proper divisors (544942283928).

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

312210221112 is a wasteful number, since it uses less digits than its factorization.

312210221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59400812 (or 59400805 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 312210221112 its reverse (211122012213), we get a palindrome (523332233325).

The spelling of 312210221112 in words is "three hundred twelve billion, two hundred ten million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 59400727 118801454 178202181 237602908 356404362 475205816 534606543 712808724 1069213086 1425617448 2138426172 4276852344 4336253071 8672506142 13008759213 17345012284 26017518426 34690024568 39026277639 52035036852 78052555278 104070073704 156105110556 312210221112