Search a number
-
+
12031110120 = 2335177517853
BaseRepresentation
bin10110011010001110…
…00010101111101000
31011001110122201102010
423031013002233220
5144114431010440
65305500235520
7604066514541
oct131507025750
934043581363
1012031110120
115114280117
1223b923bba0
131199737b93
14821bd94c8
154a6368580
hex2cd1c2be8

12031110120 has 128 divisors (see below), whose sum is σ = 38272227840. Its totient is φ = 3015168000.

The previous prime is 12031110109. The next prime is 12031110121. The reversal of 12031110120 is 2101113021.

12031110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120311101203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 12031110096 and 12031110105.

It is not an unprimeable number, because it can be changed into a prime (12031110121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1528114 + ... + 1535966.

It is an arithmetic number, because the mean of its divisors is an integer number (299001780).

Almost surely, 212031110120 is an apocalyptic number.

12031110120 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 12031110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136113920).

12031110120 is an abundant number, since it is smaller than the sum of its proper divisors (26241117720).

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

12031110120 is a wasteful number, since it uses less digits than its factorization.

12031110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8635 (or 8631 counting only the distinct ones).

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

Adding to 12031110120 its reverse (2101113021), we get a palindrome (14132223141).

The spelling of 12031110120 in words is "twelve billion, thirty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 751 1020 1502 2040 2253 3004 3755 4506 6008 7510 7853 9012 11265 12767 15020 15706 18024 22530 23559 25534 30040 31412 38301 39265 45060 47118 51068 62824 63835 76602 78530 90120 94236 102136 117795 127670 133501 153204 157060 188472 191505 235590 255340 267002 306408 314120 383010 400503 471180 510680 534004 667505 766020 801006 942360 1068008 1335010 1532040 1602012 2002515 2670020 3204024 4005030 5340040 5897603 8010060 11795206 16020120 17692809 23590412 29488015 35385618 47180824 58976030 70771236 88464045 100259251 117952060 141542472 176928090 200518502 235904120 300777753 353856180 401037004 501296255 601555506 707712360 802074008 1002592510 1203111012 1503888765 2005185020 2406222024 3007777530 4010370040 6015555060 12031110120