Search a number
-
+
2231124211323 = 337611066318149
BaseRepresentation
bin100000011101111001010…
…111011011011001111011
321220021220212211021212000
4200131321113123121323
5243023320244230243
64424544142552043
7320123223612660
oct40357127333173
97807825737760
102231124211323
1179023a4a7687
123004a6b98623
13132517b25527
1479db641ba67
153d083ae55d3
hex207795db67b

2231124211323 has 64 divisors (see below), whose sum is σ = 3840063744000. Its totient is φ = 1253840964480.

The previous prime is 2231124211319. The next prime is 2231124211333. The reversal of 2231124211323 is 3231124211322.

2231124211323 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 124 + 211 + 323 = 666.

It is not a de Polignac number, because 2231124211323 - 22 = 2231124211319 is a prime.

It is a super-3 number, since 3×22311242113233 (a number of 38 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 (27).

It is not an unprimeable number, because it can be changed into a prime (2231124211333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122924653 + ... + 122942801.

It is an arithmetic number, because the mean of its divisors is an integer number (60000996000).

Almost surely, 22231124211323 is an apocalyptic number.

2231124211323 is a deficient number, since it is larger than the sum of its proper divisors (1608939532677).

2231124211323 is a wasteful number, since it uses less digits than its factorization.

2231124211323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28889 (or 28883 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 2231124211323 its reverse (3231124211322), we get a palindrome (5462248422645).

Subtracting 2231124211323 from its reverse (3231124211322), we obtain a palindrome (999999999999).

The spelling of 2231124211323 in words is "two trillion, two hundred thirty-one billion, one hundred twenty-four million, two hundred eleven thousand, three hundred twenty-three".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 1281 1647 3843 10663 11529 18149 31989 54447 74641 95967 127043 163341 223923 287901 381129 490023 650443 671769 1107089 1143387 1951329 2015307 3321267 3430161 4553101 5853987 7749623 9963801 13659303 17561961 23248869 29891403 40977909 69746607 122933727 193522787 209239821 580568361 1354659509 1741705083 4063978527 5225115249 11804890007 12191935581 35414670021 36575806743 82634230049 106244010063 247902690147 318732030189 743708070441 2231124211323