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13105443054353 = 13109163211268913
BaseRepresentation
bin1011111010110101100101…
…0001110010001100010001
31201101212102212012200101212
42332231121101302030101
53204204421410214403
643512320223105505
72521560044645126
oct276553121621421
951355385180355
1013105443054353
1141a2a94a45121
121577b0a442295
13740ab8060b80
14334441d1874d
1517ad816934d8
hexbeb59472311

13105443054353 has 32 divisors (see below), whose sum is σ = 14398387006080. Its totient is φ = 11856308567040.

The previous prime is 13105443054293. The next prime is 13105443054373. The reversal of 13105443054353 is 35345034450131.

13105443054353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13105443054353 - 26 = 13105443054289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13105443054353.

It is not an unprimeable number, because it can be changed into a prime (13105443054373) 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, 48600425 + ... + 48869337.

It is an arithmetic number, because the mean of its divisors is an integer number (449949593940).

Almost surely, 213105443054353 is an apocalyptic number.

13105443054353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13105443054353 is a deficient number, since it is larger than the sum of its proper divisors (1292943951727).

13105443054353 is a wasteful number, since it uses less digits than its factorization.

13105443054353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269409.

The product of its (nonzero) digits is 648000, while the sum is 41.

The spelling of 13105443054353 in words is "thirteen trillion, one hundred five billion, four hundred forty-three million, fifty-four thousand, three hundred fifty-three".

Divisors: 1 13 109 163 211 1417 2119 2743 17767 22999 34393 230971 268913 298987 447109 3495869 3748837 29311517 43832819 48734881 56740643 381049721 569826647 737628359 4777777271 6184730087 9248724809 62111104523 80401491131 120233422517 1008111004181 13105443054353