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135331054911 = 33131034578191
BaseRepresentation
bin111111000001001011…
…1000000010100111111
3110221022110020220011000
41332002113000110333
54204124222224121
6142100434101343
712530425662333
oct1760227002477
9427273226130
10135331054911
1152436941638
122228a11a853
13c9b94b53b0
14679b5057c3
1537c0db0526
hex1f825c053f

135331054911 has 64 divisors (see below), whose sum is σ = 218512752640. Its totient is φ = 82281588480.

The previous prime is 135331054883. The next prime is 135331054949. The reversal of 135331054911 is 119450133531.

135331054911 is a `hidden beast` number, since 1 + 3 + 533 + 105 + 4 + 9 + 11 = 666.

It is not a de Polignac number, because 135331054911 - 217 = 135330923839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135331054511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16517826 + ... + 16526016.

It is an arithmetic number, because the mean of its divisors is an integer number (3414261760).

Almost surely, 2135331054911 is an apocalyptic number.

135331054911 is a deficient number, since it is larger than the sum of its proper divisors (83181697729).

135331054911 is a wasteful number, since it uses less digits than its factorization.

135331054911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773 (or 8767 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

It can be divided in two parts, 135 and 331054911, that added together give a triangular number (331055046 = T25731).

The spelling of 135331054911 in words is "one hundred thirty-five billion, three hundred thirty-one million, fifty-four thousand, nine hundred eleven".

Divisors: 1 3 9 13 27 39 103 117 309 351 457 927 1339 1371 2781 4017 4113 5941 8191 12051 12339 17823 24573 36153 47071 53469 73719 106483 141213 160407 221157 319449 423639 611923 843673 958347 1270917 1835769 2531019 2875041 3743287 5507307 7593057 10967749 11229861 16521921 22779171 32903247 33689583 48662731 98709741 101068749 145988193 296129223 385558561 437964579 1156675683 1313893737 3470027049 5012261293 10410081147 15036783879 45110351637 135331054911