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12134444100 = 22352208719381
BaseRepresentation
bin10110100110100010…
…01110110001000100
31011022200002121222120
423103101032301010
5144322404202400
65324031125540
7606463034022
oct132321166104
934280077876
1012134444100
1151676394a9
1224279738b0
1311b4c7804c
14831817712
154b047aca0
hex2d344ec44

12134444100 has 72 divisors (see below), whose sum is σ = 35127626688. Its totient is φ = 3234134400.

The previous prime is 12134444099. The next prime is 12134444117. The reversal of 12134444100 is 144443121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616410 + ... + 635790.

It is an arithmetic number, because the mean of its divisors is an integer number (487883704).

Almost surely, 212134444100 is an apocalyptic number.

12134444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12134444100 is an abundant number, since it is smaller than the sum of its proper divisors (22993182588).

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

12134444100 is a wasteful number, since it uses less digits than its factorization.

12134444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21485 (or 21478 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12134444100 its reverse (144443121), we get a palindrome (12278887221).

The spelling of 12134444100 in words is "twelve billion, one hundred thirty-four million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2087 4174 6261 8348 10435 12522 19381 20870 25044 31305 38762 41740 52175 58143 62610 77524 96905 104350 116286 125220 156525 193810 208700 232572 290715 313050 387620 484525 581430 626100 969050 1162860 1453575 1938100 2907150 5814300 40448147 80896294 121344441 161792588 202240735 242688882 404481470 485377764 606722205 808962940 1011203675 1213444410 2022407350 2426888820 3033611025 4044814700 6067222050 12134444100