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12034240400 = 2452713330611
BaseRepresentation
bin10110011010100101…
…11110111110010000
31011001200112202100102
423031102332332100
5144121231143100
65310051311532
7604135232660
oct131522767620
934050482312
1012034240400
115116018a26
1223ba2ab5a8
13119a292910
148223b21a0
154a6785cd5
hex2cd4bef90

12034240400 has 120 divisors (see below), whose sum is σ = 35584430784. Its totient is φ = 3808627200.

The previous prime is 12034240397. The next prime is 12034240409. The reversal of 12034240400 is 404243021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12034240409) 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 23 ways as a sum of consecutive naturals, for example, 128906 + ... + 201705.

Almost surely, 212034240400 is an apocalyptic number.

12034240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12034240400 is an abundant number, since it is smaller than the sum of its proper divisors (23550190384).

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

12034240400 is a wasteful number, since it uses less digits than its factorization.

12034240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330649 (or 330638 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12034240400 its reverse (404243021), we get a palindrome (12438483421).

The spelling of 12034240400 in words is "twelve billion, thirty-four million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 330611 661222 1322444 1653055 2314277 2644888 3306110 4297943 4628554 5289776 6612220 8265275 8595886 9257108 11571385 13224440 16530550 17191772 18514216 21489715 23142770 26448880 30085601 33061100 34383544 37028432 42979430 46285540 57856925 60171202 66122200 68767088 85958860 92571080 107448575 115713850 120342404 132244400 150428005 171917720 185142160 214897150 231427700 240684808 300856010 343835440 429794300 462855400 481369616 601712020 752140025 859588600 925710800 1203424040 1504280050 1719177200 2406848080 3008560100 6017120200 12034240400