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4111001310031 = 721114963118111
BaseRepresentation
bin111011110100101010110…
…001011101001101001111
3112120000012202020111102221
4323310222301131031033
51014323312313410111
612424322401200211
7603003305401600
oct73645261351517
915500182214387
104111001310031
11134551407a830
125648a6030067
1323a8868a0b85
14102d8b4d1da7
1571e0ae42371
hex3bd2ac5d34f

4111001310031 has 48 divisors (see below), whose sum is σ = 5253422054400. Its totient is φ = 3180982056000.

The previous prime is 4111001310011. The next prime is 4111001310061. The reversal of 4111001310031 is 1300131001114.

4111001310031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4111001310031 - 25 = 4111001309999 is a prime.

It is a super-2 number, since 2×41110013100312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4111001309987 and 4111001310014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111001310011) 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, 506838666 + ... + 506846776.

It is an arithmetic number, because the mean of its divisors is an integer number (109446292800).

Almost surely, 24111001310031 is an apocalyptic number.

4111001310031 is a deficient number, since it is larger than the sum of its proper divisors (1142420744369).

4111001310031 is a wasteful number, since it uses less digits than its factorization.

4111001310031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596 (or 14589 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 4111001310031 its reverse (1300131001114), we get a palindrome (5411132311145).

The spelling of 4111001310031 in words is "four trillion, one hundred eleven billion, one million, three hundred ten thousand, thirty-one".

Divisors: 1 7 11 49 77 149 539 1043 1639 6311 7301 8111 11473 44177 56777 69421 80311 89221 309239 397439 485947 624547 940339 1208539 3401629 4371829 6582373 8459773 10343729 13293929 46076611 51188521 59218411 72406103 93057503 358319647 506842721 563073731 651402521 2508237529 3941516117 7627089629 27590612819 53389627403 83897985919 373727391821 587285901433 4111001310031