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13155400541151 = 321129263115115137
BaseRepresentation
bin1011111101101111101011…
…1110011110001111011111
31201120122101111000221212200
42333123322332132033133
53211014230014304101
643551301345302543
72525306042404521
oct277337276361737
951518344027780
1013155400541151
1142121a07103a0
121585731034a53
1374571a06714b
14336a20b3da11
1517c30743b986
hexbf6faf9e3df

13155400541151 has 96 divisors (see below), whose sum is σ = 21546203627520. Its totient is φ = 7661601024000.

The previous prime is 13155400541113. The next prime is 13155400541189. The reversal of 13155400541151 is 15114500455131.

13155400541151 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 540 + 0 + 54 + 11 + 51 = 666.

It is an interprime number because it is at equal distance from previous prime (13155400541113) and next prime (13155400541189).

It is not a de Polignac number, because 13155400541151 - 210 = 13155400540127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155400541111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 869081455 + ... + 869096591.

It is an arithmetic number, because the mean of its divisors is an integer number (224439621120).

Almost surely, 213155400541151 is an apocalyptic number.

13155400541151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13155400541151 is a deficient number, since it is larger than the sum of its proper divisors (8390803086369).

13155400541151 is a wasteful number, since it uses less digits than its factorization.

13155400541151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16597 (or 16594 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 13155400541151 its reverse (15114500455131), we get a palindrome (28269900996282).

The spelling of 13155400541151 in words is "thirteen trillion, one hundred fifty-five billion, four hundred million, five hundred forty-one thousand, one hundred fifty-one".

Divisors: 1 3 9 11 29 33 87 99 261 263 319 789 957 1151 2367 2871 2893 3453 7627 8679 10359 12661 15137 22881 26037 33379 37983 45411 68643 83897 100137 113949 136233 166507 251691 300411 302713 367169 438973 499521 755073 908139 1101507 1316919 1498563 2724417 3304521 3329843 3950757 3981031 4828703 8778677 9989529 11943093 14486109 17422687 26336031 29968587 35829279 43458327 43791341 52268061 79008093 96565447 115449899 131374023 156804183 191649557 289696341 346349697 394122069 505257923 574948671 869089023 1039049091 1269948889 1515773769 1724846013 3809846667 4547321307 4582166681 5557837153 11429540001 13746500043 16673511459 41239500129 50020534377 50403833491 132882833749 151211500473 398648501247 453634501419 1195945503741 1461711171239 4385133513717 13155400541151