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13043633634031 = 7111329479560237
BaseRepresentation
bin1011110111001111010100…
…1001100011101011101111
31201011221220020212210121011
42331303311021203223233
53202201330202242111
643424055040450051
72514241254356410
oct275636511435357
951157806783534
1013043633634031
114179857159870
121567b3a619927
13738017795b90
1433145b019807
15179465176021
hexbdcf5263aef

13043633634031 has 64 divisors (see below), whose sum is σ = 18502502215680. Its totient is φ = 8865780456960.

The previous prime is 13043633634023. The next prime is 13043633634047.

13043633634031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13043633634031 - 23 = 13043633634023 is a prime.

It is a super-2 number, since 2×130436336340312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13043633635031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3415756 + ... + 6144481.

It is an arithmetic number, because the mean of its divisors is an integer number (289101597120).

Almost surely, 213043633634031 is an apocalyptic number.

13043633634031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13043633634031 is a deficient number, since it is larger than the sum of its proper divisors (5458868581649).

13043633634031 is a wasteful number, since it uses less digits than its factorization.

13043633634031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9560344.

The product of its (nonzero) digits is 419904, while the sum is 40.

It can be divided in two parts, 1304363 and 3634031, that added together give a palindrome (4938394).

The spelling of 13043633634031 in words is "thirteen trillion, forty-three billion, six hundred thirty-three million, six hundred thirty-four thousand, thirty-one".

Divisors: 1 7 11 13 29 47 77 91 143 203 319 329 377 517 611 1001 1363 2233 2639 3619 4147 4277 6721 9541 14993 17719 29029 47047 104951 124033 194909 1364363 9560237 66921659 105162607 124283081 277246873 449331139 736138249 869981567 1367113891 1940728111 3049715603 3145317973 3604209349 4942642529 5841304807 9569797237 13030603031 21348009221 25229465443 34598497703 39646302839 40889133649 64254352877 91214221217 143336633341 169397839403 277524119873 449780470139 1003356433387 1185784875821 1863376233433 13043633634031