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12011244100 = 22526710916447
BaseRepresentation
bin10110010111110110…
…10000101001000100
31011000002021102100121
423023323100221010
5144044334302400
65303510351324
7603435614242
oct131373205104
934002242317
1012011244100
115104041519
1223b265b544
1311955a073b
1481d307792
154a474221a
hex2cbed0a44

12011244100 has 72 divisors (see below), whose sum is σ = 26697735680. Its totient is φ = 4689083520.

The previous prime is 12011244059. The next prime is 12011244149. The reversal of 12011244100 is 144211021.

It is a happy 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, 722077 + ... + 738523.

Almost surely, 212011244100 is an apocalyptic number.

12011244100 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 12011244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348867840).

12011244100 is an abundant number, since it is smaller than the sum of its proper divisors (14686491580).

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

12011244100 is a wasteful number, since it uses less digits than its factorization.

12011244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16637 (or 16630 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12011244100 its reverse (144211021), we get a palindrome (12155455121).

The spelling of 12011244100 in words is "twelve billion, eleven million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 109 134 218 268 335 436 545 670 1090 1340 1675 2180 2725 3350 5450 6700 7303 10900 14606 16447 29212 32894 36515 65788 73030 82235 146060 164470 182575 328940 365150 411175 730300 822350 1101949 1644700 1792723 2203898 3585446 4407796 5509745 7170892 8963615 11019490 17927230 22038980 27548725 35854460 44818075 55097450 89636150 110194900 120112441 179272300 240224882 480449764 600562205 1201124410 2402248820 3002811025 6005622050 12011244100