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11010312120 = 2335476132003
BaseRepresentation
bin10100100000100010…
…00000011110111000
31001102022211210210210
422100101000132320
5140022114441440
65020313111120
7536563052223
oct122021003670
931368753723
1011010312120
114740041505
1221733b84a0
1310660c82b2
147663d65ba
15446929a80
hex2904407b8

11010312120 has 128 divisors (see below), whose sum is σ = 34287805440. Its totient is φ = 2826416640.

The previous prime is 11010312113. The next prime is 11010312133. The reversal of 11010312120 is 2121301011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11010312096 and 11010312105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328039 + ... + 360041.

It is an arithmetic number, because the mean of its divisors is an integer number (267873480).

Almost surely, 211010312120 is an apocalyptic number.

11010312120 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 11010312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17143902720).

11010312120 is an abundant number, since it is smaller than the sum of its proper divisors (23277493320).

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

11010312120 is a wasteful number, since it uses less digits than its factorization.

11010312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32125 (or 32121 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11010312120 its reverse (2121301011), we get a palindrome (13131613131).

The spelling of 11010312120 in words is "eleven billion, ten million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 61 94 120 122 141 183 188 235 244 282 305 366 376 470 488 564 610 705 732 915 940 1128 1220 1410 1464 1830 1880 2440 2820 2867 3660 5640 5734 7320 8601 11468 14335 17202 22936 28670 32003 34404 43005 57340 64006 68808 86010 96009 114680 128012 160015 172020 192018 256024 320030 344040 384036 480045 640060 768072 960090 1280120 1504141 1920180 1952183 3008282 3840360 3904366 4512423 5856549 6016564 7520705 7808732 9024846 9760915 11713098 12033128 15041410 15617464 18049692 19521830 22562115 23426196 29282745 30082820 36099384 39043660 45124230 46852392 58565490 60165640 78087320 90248460 91752601 117130980 180496920 183505202 234261960 275257803 367010404 458763005 550515606 734020808 917526010 1101031212 1376289015 1835052020 2202062424 2752578030 3670104040 5505156060 11010312120