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13124212401141 = 3343101564119841
BaseRepresentation
bin1011111011111011100000…
…0001001010001111110101
31201110122212221001021211000
42332332320001022033311
53210011341333314031
643525102511233513
72523123134524602
oct276767001121765
951418787037730
1013124212401141
1141aaa46831176
12157b688218899
137427b97a0c2a
143353029b16a9
1517b5ce36b3e6
hexbefb804a3f5

13124212401141 has 64 divisors (see below), whose sum is σ = 20097006209280. Its totient is φ = 8459458560000.

The previous prime is 13124212401121. The next prime is 13124212401163. The reversal of 13124212401141 is 14110421242131.

13124212401141 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 212 + 401 + 1 + 41 = 666.

It is not a de Polignac number, because 13124212401141 - 211 = 13124212399093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124212401121) 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, 661459381 + ... + 661479221.

It is an arithmetic number, because the mean of its divisors is an integer number (314015722020).

Almost surely, 213124212401141 is an apocalyptic number.

It is an amenable number.

13124212401141 is a deficient number, since it is larger than the sum of its proper divisors (6972793808139).

13124212401141 is a wasteful number, since it uses less digits than its factorization.

13124212401141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25635 (or 25629 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 13124212401141 its reverse (14110421242131), we get a palindrome (27234633643272).

The spelling of 13124212401141 in words is "thirteen trillion, one hundred twenty-four billion, two hundred twelve million, four hundred one thousand, one hundred forty-one".

Divisors: 1 3 9 27 43 101 129 303 387 909 1161 2727 4343 5641 13029 16923 19841 39087 50769 59523 117261 152307 178569 242563 535707 569741 727689 853163 1709223 2003941 2183067 2559489 5127669 6011823 6549201 7678467 15383007 18035469 23035401 24498863 54106407 73496589 86169463 111923081 220489767 258508389 335769243 661469301 775525167 1007307729 2326575501 3021923187 4812692483 11304231181 14438077449 33912693543 43314232347 101738080629 129942697041 305214241887 486081940783 1458245822349 4374737467047 13124212401141