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131040303234021 = 3317261577477131
BaseRepresentation
bin11101110010111000110010…
…101110011011101111100101
3122011222022221001002010122000
4131302320302232123233211
5114133431020111442041
61142411030110355513
736413230605250506
oct3562706256335745
9564868831063560
10131040303234021
1138831975a64395
12128445a44bbb99
13581708069409c
142450555188bad
1510239d4243bb6
hex772e32b9bbe5

131040303234021 has 96 divisors (see below), whose sum is σ = 209969608882560. Its totient is φ = 80733144268800.

The previous prime is 131040303234011. The next prime is 131040303234079. The reversal of 131040303234021 is 120432303040131.

It is a happy number.

131040303234021 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 403 + 0 + 3 + 234 + 0 + 21 = 666.

It is not a de Polignac number, because 131040303234021 - 27 = 131040303233893 is a prime.

It is a super-2 number, since 2×1310403032340212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131040303234011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274403626 + ... + 274880756.

It is an arithmetic number, because the mean of its divisors is an integer number (2187183425860).

Almost surely, 2131040303234021 is an apocalyptic number.

It is an amenable number.

131040303234021 is a deficient number, since it is larger than the sum of its proper divisors (78929305648539).

131040303234021 is a wasteful number, since it uses less digits than its factorization.

131040303234021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477812 (or 477789 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131040303234021 its reverse (120432303040131), we get a palindrome (251472606274152).

The spelling of 131040303234021 in words is "one hundred thirty-one trillion, forty billion, three hundred three million, two hundred thirty-four thousand, twenty-one".

Divisors: 1 3 9 17 27 51 61 153 183 289 459 549 577 867 1037 1647 1731 2601 3111 5193 7803 9333 9809 15579 17629 27999 29427 35197 52887 88281 105591 158661 166753 264843 316773 475983 477131 500259 598349 950319 1431393 1500777 1795047 4294179 4502331 5385141 8111227 10171933 12882537 16155423 24333681 29104991 30515799 73001043 87314973 91547397 137890859 219003129 261944919 274642191 275304587 413672577 494784847 785834757 825913761 1241017731 1484354541 2477741283 3723053193 4453063623 4680177979 7433223849 8411342399 13359190869 14040533937 16793579807 25234027197 42121601811 50380739421 75702081591 79563025643 126364805433 151142218263 227106244773 238689076929 285490856719 453426654789 716067230787 856472570157 2148201692361 2569417710471 4853344564223 7708253131413 14560033692669 43680101078007 131040303234021