Search a number
-
+
12223100033131 = 132295357178231
BaseRepresentation
bin1011000111011110100110…
…0010010001100001101011
31121021111221212011001112111
42301313221202101201223
53100230402102030011
641555114210023151
72401042546006621
oct261675142214153
947244855131474
1012223100033131
113992873349879
121454b03577ab7
136a8830723800
1430385b98b511
15162e3e364121
hexb1de989186b

12223100033131 has 48 divisors (see below), whose sum is σ = 13954542960960. Its totient is φ = 10685086164480.

The previous prime is 12223100033101. The next prime is 12223100033161. The reversal of 12223100033131 is 13133000132221.

12223100033131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12223100033101) and next prime (12223100033161).

It is not a de Polignac number, because 12223100033131 - 211 = 12223100031083 is a prime.

It is a super-2 number, since 2×122231000331312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12223100033101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1485003786 + ... + 1485012016.

It is an arithmetic number, because the mean of its divisors is an integer number (290719645020).

Almost surely, 212223100033131 is an apocalyptic number.

12223100033131 is a deficient number, since it is larger than the sum of its proper divisors (1731442927829).

12223100033131 is a wasteful number, since it uses less digits than its factorization.

12223100033131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14056 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12223100033131 its reverse (13133000132221), we get a palindrome (25356100165352).

The spelling of 12223100033131 in words is "twelve trillion, two hundred twenty-three billion, one hundred million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 13 29 53 169 377 689 1537 4901 5717 8231 8957 19981 74321 107003 165793 238699 259753 303001 436243 966173 1391039 2155309 3103087 3939013 5671159 8787029 12651047 28019017 40340131 47056627 51207169 73725067 114231377 164463611 611736151 1364642183 1485007901 2138026943 2494001231 7952569963 17740348379 32422016003 72326035699 230624528927 421486208039 940238464087 12223100033131