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2123113212 = 2232115361397
BaseRepresentation
bin111111010001100…
…0010001011111100
312110222000022210200
41332203002023330
513322004110322
6550401403500
7103420110303
oct17643021374
95428008720
102123113212
1199a495420
124b3039590
1327ab2130c
14161d8543a
15c65d08ac
hex7e8c22fc

2123113212 has 36 divisors (see below), whose sum is σ = 5854646616. Its totient is φ = 643367520.

The previous prime is 2123113211. The next prime is 2123113217.

2123113212 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123113211) 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, 2680303 + ... + 2681094.

Almost surely, 22123113212 is an apocalyptic number.

2123113212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2123113212 is an abundant number, since it is smaller than the sum of its proper divisors (3731533404).

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

2123113212 is a wasteful number, since it uses less digits than its factorization.

2123113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361418 (or 5361413 counting only the distinct ones).

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

The square root of 2123113212 is about 46077.2526524748. The cubic root of 2123113212 is about 1285.2601757346.

It can be divided in two parts, 21231 and 13212, that added together give a palindrome (34443).

The spelling of 2123113212 in words is "two billion, one hundred twenty-three million, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5361397 10722794 16084191 21445588 32168382 48252573 58975367 64336764 96505146 117950734 176926101 193010292 235901468 353852202 530778303 707704404 1061556606 2123113212