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131143304421 = 3437414492377
BaseRepresentation
bin111101000100011000…
…0000000010011100101
3110112111121021010110000
41322020300000103211
54122040141220141
6140125120051513
712321565460253
oct1721060002345
9415447233400
10131143304421
1150687a81718
12214bb763b99
13c49ca0811c
1464c127b5d3
1536284005b6
hex1e88c004e5

131143304421 has 80 divisors (see below), whose sum is σ = 206653431600. Its totient is φ = 82771476480.

The previous prime is 131143304407. The next prime is 131143304497. The reversal of 131143304421 is 124403341131.

131143304421 is a `hidden beast` number, since 1 + 311 + 4 + 3 + 304 + 42 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 341732196 + 130801572225 = 18486^2 + 361665^2 .

It is not a de Polignac number, because 131143304421 - 215 = 131143271653 is a prime.

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 (131143304821) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55170585 + ... + 55172961.

It is an arithmetic number, because the mean of its divisors is an integer number (2583167895).

Almost surely, 2131143304421 is an apocalyptic number.

It is an amenable number.

131143304421 is a deficient number, since it is larger than the sum of its proper divisors (75510127179).

131143304421 is a wasteful number, since it uses less digits than its factorization.

131143304421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131143304421 its reverse (124403341131), we get a palindrome (255546645552).

The spelling of 131143304421 in words is "one hundred thirty-one billion, one hundred forty-three million, three hundred four thousand, four hundred twenty-one".

Divisors: 1 3 9 27 37 41 81 111 123 333 369 449 999 1107 1347 1517 2377 2997 3321 4041 4551 7131 12123 13653 16613 18409 21393 36369 40959 49839 55227 64179 87949 97457 122877 149517 165681 192537 263847 292371 448551 497043 681133 791541 877113 1067273 1345653 1491129 2043399 2374623 2631339 3201819 3605909 6130197 7123869 7894017 9605457 10817727 18390591 28816371 32453181 39489101 43758193 55171773 86449113 97359543 118467303 131274579 292078629 355401909 393823737 1066205727 1181471211 1619053141 3198617181 3544413633 4857159423 14571478269 43714434807 131143304421