Search a number
-
+
13045477454031 = 31129831572234691
BaseRepresentation
bin1011110111010110001100…
…0011001011000011001111
31201012010122202100120010210
42331311203003023003033
53202214114212012111
643425002024133503
72514335043522051
oct275654303130317
951163582316123
1013045477454031
11417a612a23050
121568374007293
1373824c789429
14331593c5b8d1
15179521e880a6
hexbdd630cb0cf

13045477454031 has 128 divisors (see below), whose sum is σ = 20086528573440. Its totient is φ = 7458513753600.

The previous prime is 13045477454021. The next prime is 13045477454071.

13045477454031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13045477454031 - 27 = 13045477453903 is a prime.

It is a super-2 number, since 2×130454774540312 (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 (13045477454021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2780956396 + ... + 2780961086.

It is an arithmetic number, because the mean of its divisors is an integer number (156926004480).

Almost surely, 213045477454031 is an apocalyptic number.

13045477454031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13045477454031 is a deficient number, since it is larger than the sum of its proper divisors (7041051119409).

13045477454031 is a wasteful number, since it uses less digits than its factorization.

13045477454031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197.

The product of its (nonzero) digits is 2822400, while the sum is 48.

It can be divided in two parts, 1304547 and 7454031, that added together give a palindrome (8758578).

The spelling of 13045477454031 in words is "thirteen trillion, forty-five billion, four hundred seventy-seven million, four hundred fifty-four thousand, thirty-one".

Divisors: 1 3 11 29 33 83 87 157 223 249 319 471 669 913 957 1727 2407 2453 2739 4553 4691 5181 6467 7221 7359 13031 13659 14073 18509 19401 26477 35011 39093 50083 51601 55527 71137 79431 105033 136039 143341 150249 154803 203599 213411 377899 385121 389353 408117 430023 536761 610797 736487 1015319 1046093 1133697 1155363 1168059 1496429 1610283 2209461 2905913 3045957 3138279 4156889 4282883 4489287 5904371 8101357 8717739 11168509 11291237 11507023 12470667 12848649 17713113 21358123 24304071 30336697 31965043 33505527 33873711 34521069 61128421 64074369 84271477 86825719 91010091 95895129 124203607 164236601 183385263 234939353 252814431 260477157 333703667 372610821 492709803 672412631 704818059 926986247 955082909 1001111001 1772724209 1806602611 2017237893 2517945851 2780958741 2865248727 4762861429 5318172627 5419807833 7553837553 13631637883 14288584287 19499966299 27697404361 40894913649 52391475719 58499898897 83092213083 149948016713 157174427157 395317498607 449844050139 1185952495821 4348492484677 13045477454031