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311041304230131 = 32711738293394037
BaseRepresentation
bin100011010111000111111001…
…0011100101111100011110011
31111210022020222021210120001200
41012232033302130233203303
5311232100042340331011
63021310222540502243
7122341664323063416
oct10656176234574363
91453266867716050
10311041304230131
119011a970453912
122aa75a7b54a983
13104730b8b67917
1456b469d87bb7d
1525e5d71278856
hex11ae3f272f8f3

311041304230131 has 48 divisors (see below), whose sum is σ = 458796282010560. Its totient is φ = 203013313009920.

The previous prime is 311041304230123. The next prime is 311041304230277. The reversal of 311041304230131 is 131032403140113.

311041304230131 is a `hidden beast` number, since 3 + 1 + 1 + 0 + 413 + 0 + 4 + 230 + 13 + 1 = 666.

It is not a de Polignac number, because 311041304230131 - 23 = 311041304230123 is a prime.

It is a super-2 number, since 2×3110413042301312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311041304230095 and 311041304230104.

It is not an unprimeable number, because it can be changed into a prime (311041304230931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89946445 + ... + 93340481.

It is an arithmetic number, because the mean of its divisors is an integer number (9558255875220).

Almost surely, 2311041304230131 is an apocalyptic number.

311041304230131 is a deficient number, since it is larger than the sum of its proper divisors (147754977780429).

311041304230131 is a wasteful number, since it uses less digits than its factorization.

311041304230131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395116 (or 3395113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 311041304230131 its reverse (131032403140113), we get a palindrome (442073707370244).

The spelling of 311041304230131 in words is "three hundred eleven trillion, forty-one billion, three hundred four million, two hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 71 173 213 519 639 829 1557 2487 7461 12283 36849 58859 110547 143417 176577 430251 529731 1290753 3394037 10182111 10182607 30546333 30547821 91643463 240976627 587168401 722929881 1761505203 2168789643 2813656673 5284515609 8440970019 25322910057 41688956471 125066869413 199769623783 375200608239 486762604429 599308871349 1460287813287 1797926614047 4380863439861 34560144914459 103680434743377 311041304230131