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13013243215505 = 5132113397343289
BaseRepresentation
bin1011110101011110000110…
…1111010011111010010001
31201002001110021221120200122
42331113201233103322101
53201202110230344010
643402111300400025
72512114204153211
oct275274157237221
951061407846618
1013013243215505
1141679815a45a5
1215620789a6015
137351b3565700
1432dbb6bc2241
1517878712c855
hexbd5e1bd3e91

13013243215505 has 48 divisors (see below), whose sum is σ = 17102177760240. Its totient is φ = 9500717850624.

The previous prime is 13013243215499. The next prime is 13013243215543. The reversal of 13013243215505 is 50551234231031.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 11605904681536 + 1407338533969 = 3406744^2 + 1186313^2 .

It is not a de Polignac number, because 13013243215505 - 220 = 13013242166929 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37735901 + ... + 38079189.

It is an arithmetic number, because the mean of its divisors is an integer number (356295370005).

Almost surely, 213013243215505 is an apocalyptic number.

It is an amenable number.

13013243215505 is a deficient number, since it is larger than the sum of its proper divisors (4088934544735).

13013243215505 is a wasteful number, since it uses less digits than its factorization.

13013243215505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343830 (or 343817 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 13013243215505 its reverse (50551234231031), we get a palindrome (63564477446536).

The spelling of 13013243215505 in words is "thirteen trillion, thirteen billion, two hundred forty-three million, two hundred fifteen thousand, five hundred five".

Divisors: 1 5 13 65 113 169 397 565 845 1469 1985 5161 7345 19097 25805 44861 67093 95485 224305 335465 343289 583193 1716445 2915965 4462757 7581509 22313785 37907545 38791657 58015841 136285733 193958285 290079205 504291541 681428665 1771714529 2521457705 6555790033 8858572645 15400287829 23032288877 32778950165 77001439145 115161444385 200203741777 1001018708885 2602648643101 13013243215505