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2112123321 = 327114370879
BaseRepresentation
bin111110111100100…
…0111000110111001
312110012022222111200
41331321013012321
513311200421241
6545330044413
7103224515640
oct17571070671
95405288450
102112123321
11994269570
124ab419709
13278774019
14160724357
15c565e4b6
hex7de471b9

2112123321 has 48 divisors (see below), whose sum is σ = 3892162560. Its totient is φ = 1071675360.

The previous prime is 2112123313. The next prime is 2112123329. The reversal of 2112123321 is 1233212112.

It is an interprime number because it is at equal distance from previous prime (2112123313) and next prime (2112123329).

It is not a de Polignac number, because 2112123321 - 23 = 2112123313 is a prime.

It is a super-2 number, since 2×21121233212 = 8922129846224138082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112123294 and 2112123303.

It is not an unprimeable number, because it can be changed into a prime (2112123329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5641 + ... + 65238.

It is an arithmetic number, because the mean of its divisors is an integer number (81086720).

Almost surely, 22112123321 is an apocalyptic number.

2112123321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112123321 is a deficient number, since it is larger than the sum of its proper divisors (1780039239).

2112123321 is a wasteful number, since it uses less digits than its factorization.

2112123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70946 (or 70943 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2112123321 is about 45957.8428671320. The cubic root of 2112123321 is about 1283.0387035035.

Adding to 2112123321 its reverse (1233212112), we get a palindrome (3345335433).

The spelling of 2112123321 in words is "two billion, one hundred twelve million, one hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 43 63 77 99 129 231 301 387 473 693 903 1419 2709 3311 4257 9933 29799 70879 212637 496153 637911 779669 1488459 2339007 3047797 4465377 5457683 7017021 9143391 16373049 21334579 27430173 33525767 49119147 64003737 100577301 192011211 234680369 301731903 704041107 2112123321