Search a number
-
+
311324021121 = 3173747274687
BaseRepresentation
bin1001000011111000101…
…10111001000110000001
31002202120201001220101210
410201330112321012001
520100042422133441
6355004214120333
731330620342231
oct4417426710601
91082521056353
10311324021121
11110039325a43
12504059500a9
1323485c14819
14110d5079cc1
158171904616
hex487c5b9181

311324021121 has 48 divisors (see below), whose sum is σ = 461209752576. Its totient is φ = 186014744064.

The previous prime is 311324021089. The next prime is 311324021123. The reversal of 311324021121 is 121120423113.

It is not a de Polignac number, because 311324021121 - 25 = 311324021089 is a prime.

It is a super-2 number, since 2×3113240211212 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311324021123) 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 47 ways as a sum of consecutive naturals, for example, 4131040 + ... + 4205726.

It is an arithmetic number, because the mean of its divisors is an integer number (9608536512).

Almost surely, 2311324021121 is an apocalyptic number.

It is an amenable number.

311324021121 is a deficient number, since it is larger than the sum of its proper divisors (149885731455).

311324021121 is a wasteful number, since it uses less digits than its factorization.

311324021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74838 (or 74791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 311324021121 its reverse (121120423113), we get a palindrome (432444444234).

The spelling of 311324021121 in words is "three hundred eleven billion, three hundred twenty-four million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 17 37 47 51 111 141 629 799 1739 1887 2209 2397 5217 6627 29563 37553 74687 81733 88689 112659 224061 245199 1269679 1389461 2763419 3510289 3809037 4168383 8290257 10530867 46978123 59674913 129880693 140934369 164983583 179024739 389642079 494950749 2207971781 2804720911 6104392571 6623915343 8414162733 18313177713 103774673707 311324021121