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133024340141 = 71141233318061
BaseRepresentation
bin111101111100011011…
…1100101100010101101
3110201100200202122100122
41323320313211202231
54134413212341031
6141035513134325
712416316143360
oct1737067454255
9421320678318
10133024340141
11514628546a0
12219456ba3a5
13c70c62bb04
14661d00a0d7
1536d861447b
hex1ef8de58ad

133024340141 has 32 divisors (see below), whose sum is σ = 169975846656. Its totient is φ = 101078208000.

The previous prime is 133024340129. The next prime is 133024340161. The reversal of 133024340141 is 141043420331.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-133024340141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133024340141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133024340101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7356251 + ... + 7374311.

It is an arithmetic number, because the mean of its divisors is an integer number (5311745208).

Almost surely, 2133024340141 is an apocalyptic number.

133024340141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133024340141 is a deficient number, since it is larger than the sum of its proper divisors (36951506515).

133024340141 is a wasteful number, since it uses less digits than its factorization.

133024340141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20453.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 133024340141 its reverse (141043420331), we get a palindrome (274067760472).

The spelling of 133024340141 in words is "one hundred thirty-three billion, twenty-four million, three hundred forty thousand, one hundred forty-one".

Divisors: 1 7 11 41 77 287 451 2333 3157 16331 18061 25663 95653 126427 179641 198671 669571 740501 1052183 1390697 5183507 7365281 8145511 42136313 57018577 294954191 463499443 1727588833 3244496101 12093121831 19003477163 133024340141