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13303524540141 = 3211652920581871
BaseRepresentation
bin1100000110010111011111…
…0110101011111011101101
31202002210201111110202011100
43001211313312223323231
53220431104240241031
644143315500513313
72542101511542213
oct301456766537355
952083644422140
1013303524540141
114269aa1865190
1215aa38b54b839
13756694a66424
1433dc732b2cb3
151810c649dde6
hexc1977dabeed

13303524540141 has 24 divisors (see below), whose sum is σ = 20966341368960. Its totient is φ = 8061506841600.

The previous prime is 13303524540073. The next prime is 13303524540151. The reversal of 13303524540141 is 14104542530331.

13303524540141 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 5 + 245 + 401 + 4 + 1 = 666.

It is not a de Polignac number, because 13303524540141 - 210 = 13303524539117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13303524540096 and 13303524540105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303524540151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9644565 + ... + 10937306.

It is an arithmetic number, because the mean of its divisors is an integer number (873597557040).

Almost surely, 213303524540141 is an apocalyptic number.

13303524540141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13303524540141 is a deficient number, since it is larger than the sum of its proper divisors (7662816828819).

13303524540141 is a wasteful number, since it uses less digits than its factorization.

13303524540141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20588417 (or 20588414 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 13303524540141 in words is "thirteen trillion, three hundred three billion, five hundred twenty-four million, five hundred forty thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 6529 19587 58761 71819 215457 646371 20581871 61745613 185236839 226400581 679201743 2037605229 134379035759 403137107277 1209411321831 1478169393349 4434508180047 13303524540141