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13011422411031 = 3113767159050233
BaseRepresentation
bin1011110101010111010100…
…1101011111100100010111
31201001212202101210010111220
42331111311031133210113
53201134343114123111
643401210454301423
72512021114446312
oct275256515374427
951055671703456
1013011422411031
114167127820210
12156184b057873
13734c83270005
1432da83051979
151786cc364e06
hexbd57535f917

13011422411031 has 32 divisors (see below), whose sum is σ = 19727318623488. Its totient is φ = 7558067024640.

The previous prime is 13011422410993. The next prime is 13011422411089.

13011422411031 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-13011422411031 is a prime.

It is a super-2 number, since 2×130114224110312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13011422410992 and 13011422411010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011422411531) 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, 79443310 + ... + 79606923.

It is an arithmetic number, because the mean of its divisors is an integer number (616478706984).

Almost surely, 213011422411031 is an apocalyptic number.

13011422411031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13011422411031 is a deficient number, since it is larger than the sum of its proper divisors (6715896212457).

13011422411031 is a wasteful number, since it uses less digits than its factorization.

13011422411031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159050351.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1301142 and 2411031, that added together give a palindrome (3712173).

The spelling of 13011422411031 in words is "thirteen trillion, eleven billion, four hundred twenty-two million, four hundred eleven thousand, thirty-one".

Divisors: 1 3 11 33 37 67 111 201 407 737 1221 2211 2479 7437 27269 81807 159050233 477150699 1749552563 5248657689 5884858621 10656365611 17654575863 31969096833 64733444831 117220021721 194200334493 351660065163 394285527607 1182856582821 4337140803677 13011422411031