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311102031321 = 32713311470869
BaseRepresentation
bin1001000011011110010…
…00000100010111011001
31002202000020100122122100
410201233020010113121
520044114110000241
6354530204114013
731322253430524
oct4415710042731
91082006318570
10311102031321
1110aa34a937a4
1250363535909
132344bc2b503
14110b37b1bbb
15815c1a49b6
hex486f2045d9

311102031321 has 24 divisors (see below), whose sum is σ = 457075794240. Its totient is φ = 203862304800.

The previous prime is 311102031287. The next prime is 311102031341. The reversal of 311102031321 is 123130201113.

311102031321 is a `hidden beast` number, since 31 + 110 + 203 + 1 + 321 = 666.

It is not a de Polignac number, because 311102031321 - 27 = 311102031193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311102031294 and 311102031303.

It is not an unprimeable number, because it can be changed into a prime (311102031341) 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 23 ways as a sum of consecutive naturals, for example, 523926 + ... + 946943.

It is an arithmetic number, because the mean of its divisors is an integer number (19044824760).

Almost surely, 2311102031321 is an apocalyptic number.

It is an amenable number.

311102031321 is a deficient number, since it is larger than the sum of its proper divisors (145973762919).

311102031321 is a wasteful number, since it uses less digits than its factorization.

311102031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471277 (or 1471274 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311102031321 its reverse (123130201113), we get a palindrome (434232232434).

The spelling of 311102031321 in words is "three hundred eleven billion, one hundred two million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 71 213 331 639 993 2979 23501 70503 211509 1470869 4412607 13237821 104431699 313295097 486857639 939885291 1460572917 4381718751 34566892369 103700677107 311102031321