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11310314331 = 3232910354877
BaseRepresentation
bin10101000100010010…
…11011001101011011
31002012020100111110210
422202021123031123
5141130420024311
65110151142203
7550165041231
oct124211331533
932166314423
1011310314331
114884417618
122237974963
1310b32c70b4
147941aa951
15462e393a6
hex2a225b35b

11310314331 has 32 divisors (see below), whose sum is σ = 16437058560. Its totient is φ = 6895937664.

The previous prime is 11310314317. The next prime is 11310314333. The reversal of 11310314331 is 13341301311.

11310314331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11310314331 - 219 = 11309790043 is a prime.

It is a super-2 number, since 2×113103143312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11310314298 and 11310314307.

It is not an unprimeable number, because it can be changed into a prime (11310314333) 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, 178665 + ... + 233541.

It is an arithmetic number, because the mean of its divisors is an integer number (513658080).

Almost surely, 211310314331 is an apocalyptic number.

11310314331 is a deficient number, since it is larger than the sum of its proper divisors (5126744229).

11310314331 is a wasteful number, since it uses less digits than its factorization.

11310314331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55035.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11310314331 its reverse (13341301311), we get a palindrome (24651615642).

The spelling of 11310314331 in words is "eleven billion, three hundred ten million, three hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 23 29 69 87 103 309 667 2001 2369 2987 7107 8961 54877 68701 164631 206103 1262171 1591433 3786513 4774299 5652331 16956993 36602959 109808877 130003613 163917599 390010839 491752797 3770104777 11310314331