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12014327100 = 2235264162477
BaseRepresentation
bin10110011000001110…
…00001010100111100
31011000022002001102210
423030013001110330
5144101131431400
65304100420420
7603504044466
oct131407012474
934008061383
1012014327100
115105857856
1223b36a7710
13119610cab9
1481d8ab136
154a4b50950
hex2cc1c153c

12014327100 has 72 divisors (see below), whose sum is σ = 34816240368. Its totient is φ = 3198771200.

The previous prime is 12014327099. The next prime is 12014327123. The reversal of 12014327100 is 172341021.

It is a congruent number.

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, 161062 + ... + 223538.

It is an arithmetic number, because the mean of its divisors is an integer number (483558894).

Almost surely, 212014327100 is an apocalyptic number.

12014327100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12014327100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17408120184).

12014327100 is an abundant number, since it is smaller than the sum of its proper divisors (22801913268).

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

12014327100 is a wasteful number, since it uses less digits than its factorization.

12014327100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63135 (or 63128 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 12014327100 its reverse (172341021), we get a palindrome (12186668121).

The spelling of 12014327100 in words is "twelve billion, fourteen million, three hundred twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 641 1282 1923 2564 3205 3846 6410 7692 9615 12820 16025 19230 32050 38460 48075 62477 64100 96150 124954 187431 192300 249908 312385 374862 624770 749724 937155 1249540 1561925 1874310 3123850 3748620 4685775 6247700 9371550 18743100 40047757 80095514 120143271 160191028 200238785 240286542 400477570 480573084 600716355 800955140 1001193925 1201432710 2002387850 2402865420 3003581775 4004775700 6007163550 12014327100