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13215245510205 = 3354318413123637
BaseRepresentation
bin1100000001001110101000…
…0000111010011000111101
31201210100212011220101011000
43000103222000322120331
53213004310322311310
644034555554520513
72532525050300124
oct300235200723075
951710764811130
1013215245510205
11423561062a402
121595252b96139
1374b26665353b
1433989ab98abb
1517db5b2694c0
hexc04ea03a63d

13215245510205 has 64 divisors (see below), whose sum is σ = 24041636593920. Its totient is φ = 6883791360768.

The previous prime is 13215245510171. The next prime is 13215245510209. The reversal of 13215245510205 is 50201554251231.

13215245510205 is a `hidden beast` number, since 1 + 3 + 21 + 524 + 5 + 5 + 102 + 0 + 5 = 666.

It is not a de Polignac number, because 13215245510205 - 29 = 13215245509693 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13215245510205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13215245510209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106825647 + ... + 106949283.

It is an arithmetic number, because the mean of its divisors is an integer number (375650571780).

Almost surely, 213215245510205 is an apocalyptic number.

13215245510205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13215245510205 is a deficient number, since it is larger than the sum of its proper divisors (10826391083715).

13215245510205 is a wasteful number, since it uses less digits than its factorization.

13215245510205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142107 (or 142101 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 13215245510205 its reverse (50201554251231), we get a palindrome (63416799761436).

The spelling of 13215245510205 in words is "thirteen trillion, two hundred fifteen billion, two hundred forty-five million, five hundred ten thousand, two hundred five".

Divisors: 1 3 5 9 15 27 43 45 129 135 215 387 645 1161 1935 5805 18413 55239 92065 123637 165717 276195 370911 497151 618185 791759 828585 1112733 1854555 2375277 2485755 3338199 3958795 5316391 5563665 7125831 11876385 15949173 16690995 21377493 26581955 35629155 47847519 79745865 106887465 143542557 239237595 717712785 2276528081 6829584243 11382640405 20488752729 34147921215 61466258187 97890707483 102443763645 293672122449 307331290935 489453537415 881016367347 1468360612245 2643049102041 4405081836735 13215245510205