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311224303310140 = 225111783215054361
BaseRepresentation
bin100011011000011101000111…
…0000010110101010100111100
31111210221202022210212000122201
41012300322032002311110330
5311243044333121411030
63021530245434121244
7122361133236435133
oct10660721602652474
91453852283760581
10311224303310140
1190190538688210
122aaa5431580224
1310487430c30a0c
1456bd49dac091a
1525ea9d1de32ca
hex11b0e8e0b553c

311224303310140 has 48 divisors (see below), whose sum is σ = 754926973172064. Its totient is φ = 106515269580800.

The previous prime is 311224303310083. The next prime is 311224303310149. The reversal of 311224303310140 is 41013303422113.

It is a super-2 number, since 2×3112243033101402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311224303310099 and 311224303310108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311224303310149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41607523441 + ... + 41607530920.

It is an arithmetic number, because the mean of its divisors is an integer number (15727645274418).

Almost surely, 2311224303310140 is an apocalyptic number.

It is an amenable number.

311224303310140 is an abundant number, since it is smaller than the sum of its proper divisors (443702669861924).

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

311224303310140 is a wasteful number, since it uses less digits than its factorization.

311224303310140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83215054398 (or 83215054396 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 311224303310140 its reverse (41013303422113), we get a palindrome (352237606732253).

The spelling of 311224303310140 in words is "three hundred eleven trillion, two hundred twenty-four billion, three hundred three million, three hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 83215054361 166430108722 332860217444 416075271805 832150543610 915365597971 1414655924137 1664301087220 1830731195942 2829311848274 3661462391884 4576827989855 5658623696548 7073279620685 9153655979710 14146559241370 15561215165507 18307311959420 28293118482740 31122430331014 62244860662028 77806075827535 155612151655070 311224303310140