Search a number
-
+
112044102120 = 2335511527171
BaseRepresentation
bin110100001011001011…
…0010101000111101000
3101201012112202010100000
41220112112111013220
53313431242231440
6123250005543000
711044362103566
oct1502626250750
9351175663300
10112044102120
1143576a7a305
121986b414a60
13a747b45ca2
1455cc87ca36
152dab7bc730
hex1a165951e8

112044102120 has 96 divisors (see below), whose sum is σ = 377630154720. Its totient is φ = 29878424640.

The previous prime is 112044102113. The next prime is 112044102227. The reversal of 112044102120 is 21201440211.

112044102120 is a `hidden beast` number, since 1 + 12 + 0 + 441 + 0 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112044102093 and 112044102102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5753866 + ... + 5773305.

It is an arithmetic number, because the mean of its divisors is an integer number (3933647445).

Almost surely, 2112044102120 is an apocalyptic number.

112044102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112044102120 is an abundant number, since it is smaller than the sum of its proper divisors (265586052600).

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

112044102120 is a wasteful number, since it uses less digits than its factorization.

112044102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11527197 (or 11527181 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112044102120 its reverse (21201440211), we get a palindrome (133245542331).

The spelling of 112044102120 in words is "one hundred twelve billion, forty-four million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 11527171 23054342 34581513 46108684 57635855 69163026 92217368 103744539 115271710 138326052 172907565 207489078 230543420 276652104 311233617 345815130 414978156 461086840 518722695 622467234 691630260 829956312 933700851 1037445390 1244934468 1383260520 1556168085 1867401702 2074890780 2489868936 2801102553 3112336170 3734803404 4149781560 4668504255 5602205106 6224672340 7469606808 9337008510 11204410212 12449344680 14005512765 18674017020 22408820424 28011025530 37348034040 56022051060 112044102120