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321110042 = 21121789877
BaseRepresentation
bin10011001000111…
…100000000011010
3211101020002011112
4103020330000122
51124201010132
651510300322
710646250611
oct2310740032
9741202145
10321110042
11155292800
128b6576a2
13516ac556
143090a878
151d2cdab2
hex1323c01a

321110042 has 48 divisors (see below), whose sum is σ = 567521640. Its totient is φ = 135674880.

The previous prime is 321110033. The next prime is 321110047. The reversal of 321110042 is 240011123.

It can be written as a sum of positive squares in 4 ways, for example, as 305515441 + 15594601 = 17479^2 + 3949^2 .

It is a super-2 number, since 2×3211100422 = 206223318146483528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321109999 and 321110026.

It is not an unprimeable number, because it can be changed into a prime (321110047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365708 + ... + 366584.

Almost surely, 2321110042 is an apocalyptic number.

321110042 is a deficient number, since it is larger than the sum of its proper divisors (246411598).

321110042 is a wasteful number, since it uses less digits than its factorization.

321110042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 321110042 is about 17919.5435767767. The cubic root of 321110042 is about 684.7803597234.

Adding to 321110042 its reverse (240011123), we get a palindrome (561121165).

The spelling of 321110042 in words is "three hundred twenty-one million, one hundred ten thousand, forty-two".

Divisors: 1 2 11 17 22 34 89 121 178 187 242 374 877 979 1513 1754 1958 2057 3026 4114 9647 10769 14909 16643 19294 21538 29818 33286 78053 106117 156106 163999 183073 212234 327998 366146 858583 1326901 1717166 1803989 2653802 3607978 9444413 14595911 18888826 29191822 160555021 321110042