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13110314321340 = 22325557130763159
BaseRepresentation
bin1011111011000111101110…
…1000001100010110111100
31201102100000100100200110200
42332301323220030112330
53204244410431240330
643514443435203500
72522121545016525
oct276617350142674
951370010320420
1013110314321340
1141a5064716105
121578a498a6590
137413b3328882
14334784c6984c
1517b06916ba60
hexbec7ba0c5bc

13110314321340 has 72 divisors (see below), whose sum is σ = 39839350430880. Its totient is φ = 3489807160704.

The previous prime is 13110314321323. The next prime is 13110314321341. The reversal of 13110314321340 is 4312341301131.

13110314321340 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 314 + 3 + 2 + 1 + 340 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110314321341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65281320 + ... + 65481839.

It is an arithmetic number, because the mean of its divisors is an integer number (553324311540).

Almost surely, 213110314321340 is an apocalyptic number.

13110314321340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110314321340 is an abundant number, since it is smaller than the sum of its proper divisors (26729036109540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13110314321340 is a wasteful number, since it uses less digits than its factorization.

13110314321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130763731 (or 130763726 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13110314321340 its reverse (4312341301131), we get a palindrome (17422655622471).

The spelling of 13110314321340 in words is "thirteen trillion, one hundred ten billion, three hundred fourteen million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 557 1114 1671 2228 2785 3342 5013 5570 6684 8355 10026 11140 16710 20052 25065 33420 50130 100260 130763159 261526318 392289477 523052636 653815795 784578954 1176868431 1307631590 1569157908 1961447385 2353736862 2615263180 3922894770 4707473724 5884342155 7845789540 11768684310 23537368620 72835079563 145670159126 218505238689 291340318252 364175397815 437010477378 655515716067 728350795630 874020954756 1092526193445 1311031432134 1456701591260 2185052386890 2622062864268 3277578580335 4370104773780 6555157160670 13110314321340