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311023511214 = 23132719414591
BaseRepresentation
bin1001000011010100111…
…00100010011010101110
31002201210202121102022020
410201222130202122232
520043434004324324
6354514321131010
731320311140113
oct4415234423256
91081722542266
10311023511214
1110a9a4733449
1250341189a66
1323438898900
14110a71b290a
158155344679
hex486a7226ae

311023511214 has 96 divisors (see below), whose sum is σ = 683939386368. Its totient is φ = 94230864000.

The previous prime is 311023511207. The next prime is 311023511219. The reversal of 311023511214 is 412115320113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311023511219) 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, 67744059 + ... + 67748649.

It is an arithmetic number, because the mean of its divisors is an integer number (7124368608).

Almost surely, 2311023511214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311023511214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341969693184).

311023511214 is an abundant number, since it is smaller than the sum of its proper divisors (372915875154).

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

311023511214 is a wasteful number, since it uses less digits than its factorization.

311023511214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5634 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 311023511214 its reverse (412115320113), we get a palindrome (723138831327).

The spelling of 311023511214 in words is "three hundred eleven billion, twenty-three million, five hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 71 78 142 169 213 338 426 507 923 941 1014 1846 1882 2769 2823 4591 5538 5646 9182 11999 12233 13773 23998 24466 27546 35997 36699 59683 66811 71994 73398 119366 133622 159029 179049 200433 318058 325961 358098 400866 477087 651922 775879 868543 954174 977883 1551758 1737086 1955766 2327637 2605629 4237493 4320131 4655274 5211258 8474986 8640262 11291059 12712479 12960393 22582118 25424958 25920786 33873177 55087409 56161703 67746354 110174818 112323406 165262227 168485109 306729301 330524454 336970218 613458602 730102139 920187903 1460204278 1840375806 2190306417 3987480913 4380612834 7974961826 11962442739 23924885478 51837251869 103674503738 155511755607 311023511214