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13041554141 = 7111491136717
BaseRepresentation
bin11000010010101011…
…00101001011011101
31020122212222121000202
430021111211023131
5203202114213031
65554033433245
7641116244510
oct141125451335
936585877022
1013041554141
115592687720
12263b70b825
1312cab90a55
148ba0a4d77
15514e0e2cb
hex3095652dd

13041554141 has 16 divisors (see below), whose sum is σ = 16368739200. Its totient is φ = 10094038080.

The previous prime is 13041554137. The next prime is 13041554143. The reversal of 13041554141 is 14145514031.

13041554141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13041554141 - 22 = 13041554137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041554143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556886 + ... + 579831.

It is an arithmetic number, because the mean of its divisors is an integer number (1023046200).

Almost surely, 213041554141 is an apocalyptic number.

13041554141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13041554141 is a deficient number, since it is larger than the sum of its proper divisors (3327185059).

13041554141 is a wasteful number, since it uses less digits than its factorization.

13041554141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136884.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 13041554141 in words is "thirteen billion, forty-one million, five hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 7 11 77 149 1043 1639 11473 1136717 7957019 12503887 87527209 169370833 1185595831 1863079163 13041554141