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2214124214122 = 29710121139901
BaseRepresentation
bin100000001110000100000…
…101100101011101101010
321211200001010022221210001
4200032010011211131222
5242234011244322442
64413053222013214
7315652030202632
oct40160405453552
97750033287701
102214124214122
11784006440117
122b914187720a
13130a38b334a2
147924273d6c2
153c8db41e2b7
hex2038416576a

2214124214122 has 48 divisors (see below), whose sum is σ = 3419312575896. Its totient is φ = 1075092480000.

The previous prime is 2214124214119. The next prime is 2214124214143.

2214124214122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 1399652258761 + 814471955361 = 1183069^2 + 902481^2 .

It is a super-2 number, since 2×22141242141222 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 223621372 + ... + 223631272.

Almost surely, 22214124214122 is an apocalyptic number.

2214124214122 is a deficient number, since it is larger than the sum of its proper divisors (1205188361774).

2214124214122 is a wasteful number, since it uses less digits than its factorization.

2214124214122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10315 (or 10214 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The spelling of 2214124214122 in words is "two trillion, two hundred fourteen billion, one hundred twenty-four million, two hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 97 101 113 194 202 226 9797 9901 10201 10961 11413 19594 19802 20402 21922 22826 960397 989497 1000001 1107061 1118813 1152713 1920794 1978994 2000002 2214122 2237626 2305426 97000097 101000101 108524861 111813161 113000113 194000194 202000202 217049722 223626322 226000226 9797009797 10961010961 11413011413 19594019594 21922021922 22826022826 1107062107061 2214124214122