Search a number
-
+
100001001200112 = 24321429485970187
BaseRepresentation
bin10110101111001101001100…
…001001110101100111110000
3111010002000001201020202122100
4112233031030021311213300
5101101404022301400422
6552403454205540400
730030556014202065
oct2657151411654760
9433060051222570
10100001001200112
112995520617a691
12b270a44b74700
1343a50916b344c
141a9a107b92c6c
15b863c763b7ac
hex5af34c2759f0

100001001200112 has 60 divisors (see below), whose sum is σ = 280059759642520. Its totient is φ = 33310340429184.

The previous prime is 100001001200057. The next prime is 100001001200171. The reversal of 100001001200112 is 211002100100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100001001200094 and 100001001200103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242779318 + ... + 243190869.

Almost surely, 2100001001200112 is an apocalyptic number.

100001001200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100001001200112 is an abundant number, since it is smaller than the sum of its proper divisors (180058758442408).

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

100001001200112 is a wasteful number, since it uses less digits than its factorization.

100001001200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485971630 (or 485971621 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001001200112 its reverse (211002100100001), we get a palindrome (311003101300113).

The spelling of 100001001200112 in words is "one hundred trillion, one billion, one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1429 2858 4287 5716 8574 11432 12861 17148 22864 25722 34296 51444 68592 102888 205776 485970187 971940374 1457910561 1943880748 2915821122 3887761496 4373731683 5831642244 7775522992 8747463366 11663284488 17494926732 23326568976 34989853464 69979706928 694451397223 1388902794446 2083354191669 2777805588892 4166708383338 5555611177784 6250062575007 8333416766676 11111222355568 12500125150014 16666833533352 25000250300028 33333667066704 50000500600056 100001001200112