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11033120141145 = 3251229199495889
BaseRepresentation
bin1010000010001101100100…
…1101001110111101011001
31110001202102010001011200200
42200203121031032331121
52421231312224004040
635244313451052413
72216055000554514
oct240433115167531
943052363034620
1011033120141145
113574135761193
1212a2361741109
1362055a0468cb
142a201213bd7b
15141ee41a9630
hexa08d934ef59

11033120141145 has 24 divisors (see below), whose sum is σ = 19139635686600. Its totient is φ = 5879542811136.

The previous prime is 11033120141143. The next prime is 11033120141167. The reversal of 11033120141145 is 54114102133011.

11033120141145 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 3 + 1 + 201 + 411 + 45 = 666.

11033120141145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3715765127424 + 7317355013721 = 1927632^2 + 2705061^2 .

It is not a de Polignac number, because 11033120141145 - 21 = 11033120141143 is a prime.

It is a super-2 number, since 2×110331201411452 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11033120141143) 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, 99692640 + ... + 99803249.

It is an arithmetic number, because the mean of its divisors is an integer number (797484820275).

Almost surely, 211033120141145 is an apocalyptic number.

11033120141145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11033120141145 is a deficient number, since it is larger than the sum of its proper divisors (8106515545455).

11033120141145 is a wasteful number, since it uses less digits than its factorization.

11033120141145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199497129 (or 199497126 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11033120141145 its reverse (54114102133011), we get a palindrome (65147222274156).

The spelling of 11033120141145 in words is "eleven trillion, thirty-three billion, one hundred twenty million, one hundred forty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 1229 3687 6145 11061 18435 55305 199495889 598487667 997479445 1795463001 2992438335 8977315005 245180447581 735541342743 1225902237905 2206624028229 3677706713715 11033120141145