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13111233122031 = 311631730786171
BaseRepresentation
bin1011111011001011001001…
…1001001000111011101111
31201102102101101020121001220
42332302302121020323233
53204303301134401111
643515114540234423
72522153402500662
oct276626231107357
951372341217056
1013111233122031
1141a5496319720
12157906553ba13
137414cb7a5815
14334830cbb6d9
1517b0beb5de06
hexbecb2648eef

13111233122031 has 32 divisors (see below), whose sum is σ = 19103943591936. Its totient is φ = 7932431052000.

The previous prime is 13111233122017. The next prime is 13111233122089. The reversal of 13111233122031 is 13022133211131.

It is not a de Polignac number, because 13111233122031 - 26 = 13111233121967 is a prime.

It is a super-2 number, since 2×131112331220312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13111233121992 and 13111233122010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111233122731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152110576 + ... + 152196746.

It is an arithmetic number, because the mean of its divisors is an integer number (596998237248).

Almost surely, 213111233122031 is an apocalyptic number.

13111233122031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13111233122031 is a deficient number, since it is larger than the sum of its proper divisors (5992710469905).

13111233122031 is a wasteful number, since it uses less digits than its factorization.

13111233122031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94123.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13111233122031 its reverse (13022133211131), we get a palindrome (26133366333162).

The spelling of 13111233122031 in words is "thirteen trillion, one hundred eleven billion, two hundred thirty-three million, one hundred twenty-two thousand, thirty-one".

Divisors: 1 3 11 33 631 1893 6941 7307 20823 21921 80377 86171 241131 258513 947881 2843643 4610717 13832151 50717887 54373901 152153661 163121703 598112911 629651497 1794338733 1888954491 6926166467 20778499401 397310094607 1191930283821 4370411040677 13111233122031