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131121304513551 = 33111291134194553
BaseRepresentation
bin11101110100000100001110…
…110001110010110000001111
3122012021002000011021110221000
4131310010032301302300033
5114141242412423413201
61142512143513111343
736422126105622432
oct3564041661626017
9565232004243830
10131121304513551
1138863262088610
121285822b6b8553
1358218bc0935a1
14245443acc5819
151025b75597d86
hex77410ec72c0f

131121304513551 has 32 divisors (see below), whose sum is σ = 211929638999040. Its totient is φ = 79461299937600.

The previous prime is 131121304513523. The next prime is 131121304513627. The reversal of 131121304513551 is 155315403121131.

131121304513551 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 130 + 4 + 513 + 5 + 5 + 1 = 666.

It is not a de Polignac number, because 131121304513551 - 214 = 131121304497167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121304513351) 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, 13262710 + ... + 20931843.

It is an arithmetic number, because the mean of its divisors is an integer number (6622801218720).

Almost surely, 2131121304513551 is an apocalyptic number.

131121304513551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131121304513551 is a deficient number, since it is larger than the sum of its proper divisors (80808334485489).

131121304513551 is a wasteful number, since it uses less digits than its factorization.

131121304513551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34207484 (or 34207478 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 131121304513551 its reverse (155315403121131), we get a palindrome (286436707634682).

The spelling of 131121304513551 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, three hundred four million, five hundred thirteen thousand, five hundred fifty-one".

Divisors: 1 3 9 11 27 33 99 297 12911 38733 116199 142021 348597 426063 1278189 3834567 34194553 102583659 307750977 376140083 923252931 1128420249 3385260747 10155782241 441485873783 1324457621349 3973372864047 4856344611613 11920118592141 14569033834839 43707101504517 131121304513551