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13103413120242 = 2331989711423627
BaseRepresentation
bin1011111010101110000001…
…0010001100110011110010
31201101200012101112100022000
42332223200102030303302
53204141242224321432
643511342550354430
72521455535540644
oct276534022146362
951350171470260
1013103413120242
1141a2143112625
12157764265ba16
13740853635823
143342cc4aa894
1517acb336b57c
hexbeae048ccf2

13103413120242 has 64 divisors (see below), whose sum is σ = 30654696998400. Its totient is φ = 4137455771280.

The previous prime is 13103413120201. The next prime is 13103413120247. The reversal of 13103413120242 is 24202131430131.

13103413120242 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 413 + 1 + 2 + 0 + 242 = 666.

13103413120242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13103413120247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8492433 + ... + 9916059.

It is an arithmetic number, because the mean of its divisors is an integer number (478979640600).

Almost surely, 213103413120242 is an apocalyptic number.

13103413120242 is an abundant number, since it is smaller than the sum of its proper divisors (17551283878158).

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

13103413120242 is a wasteful number, since it uses less digits than its factorization.

13103413120242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432628 (or 1432622 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13103413120242 its reverse (24202131430131), we get a palindrome (37305544550373).

The spelling of 13103413120242 in words is "thirteen trillion, one hundred three billion, four hundred thirteen million, one hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 8971 17942 26913 53826 80739 161478 170449 242217 340898 484434 511347 1022694 1423627 1534041 2847254 3068082 4270881 4602123 8541762 9204246 12812643 25625286 27048913 38437929 54097826 76875858 81146739 162293478 243440217 486880434 730320651 1460641302 12771357817 25542715634 38314073451 76628146902 114942220353 229884440706 242655798523 344826661059 485311597046 689653322118 727967395569 1455934791138 2183902186707 4367804373414 6551706560121 13103413120242