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13004433134231 = 7117397110312311
BaseRepresentation
bin1011110100111101010010…
…0111100001001010010111
31201001012201022020002012012
42331033110213201022113
53201031034340243411
643354053142014435
72511352655541110
oct275172447411227
951035638202165
1013004433134231
1141641705300a0
12156041a41741b
1373440b24cb76
1432d5bcac7207
1517841d96818b
hexbd3d49e1297

13004433134231 has 64 divisors (see below), whose sum is σ = 16475429486592. Its totient is φ = 9970218720000.

The previous prime is 13004433134207. The next prime is 13004433134239. The reversal of 13004433134231 is 13243133440031.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-13004433134231 is a prime.

It is a super-2 number, since 2×130044331342312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004433134239) 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, 5627187566 + ... + 5627189876.

It is an arithmetic number, because the mean of its divisors is an integer number (257428585728).

Almost surely, 213004433134231 is an apocalyptic number.

13004433134231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13004433134231 is a deficient number, since it is larger than the sum of its proper divisors (3470996352361).

13004433134231 is a wasteful number, since it uses less digits than its factorization.

13004433134231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 13004433134231 its reverse (13243133440031), we get a palindrome (26247566574262).

The spelling of 13004433134231 in words is "thirteen trillion, four billion, four hundred thirty-three million, one hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 7 11 73 77 511 803 971 1031 2311 5621 6797 7217 10681 11341 16177 25421 70883 74767 75263 79387 168703 177947 496181 526841 779713 827893 1001101 1180921 1855733 2243981 2382641 5457991 5795251 7007707 11012111 12990131 15707867 16678487 24683791 26209051 73080373 77084777 163810613 172786537 173932793 183463357 511562611 803884103 1146674291 1217529551 1801916743 1913260723 2313544411 5627188721 12613417201 13392825061 16194810877 25448988521 168888742003 178142919647 1182221194021 1857776162033 13004433134231