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131053305435 = 35135915175437
BaseRepresentation
bin111101000001101100…
…0101011111001011011
3110112021022220201001020
41322003120223321123
54121344121233220
6140112143053523
712316423500453
oct1720330537133
9415238821036
10131053305435
11506411a1098
12214955a12a3
13c4871867a0
1464b3330d63
153620574040
hex1e8362be5b

131053305435 has 64 divisors (see below), whose sum is σ = 231166172160. Its totient is φ = 63004147200.

The previous prime is 131053305433. The next prime is 131053305451. The reversal of 131053305435 is 534503350131.

It is a happy number.

It is not a de Polignac number, because 131053305435 - 21 = 131053305433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131053305396 and 131053305405.

It is not an unprimeable number, because it can be changed into a prime (131053305433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1699537 + ... + 1774973.

It is an arithmetic number, because the mean of its divisors is an integer number (3611971440).

Almost surely, 2131053305435 is an apocalyptic number.

131053305435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131053305435 is a deficient number, since it is larger than the sum of its proper divisors (100112866725).

131053305435 is a wasteful number, since it uses less digits than its factorization.

131053305435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75668.

The product of its (nonzero) digits is 40500, while the sum is 33.

Adding to 131053305435 its reverse (534503350131), we get a palindrome (665556655566).

The spelling of 131053305435 in words is "one hundred thirty-one billion, fifty-three million, three hundred five thousand, four hundred thirty-five".

Divisors: 1 3 5 13 15 39 59 65 151 177 195 295 453 755 767 885 1963 2265 2301 3835 5889 8909 9815 11505 26727 29445 44545 75437 115817 133635 226311 347451 377185 579085 980681 1131555 1737255 2942043 4450783 4903405 11390987 13352349 14710215 22253915 34172961 56954935 57860179 66761745 148082831 170864805 173580537 289300895 444248493 672068233 740414155 867902685 2016204699 2221242465 3360341165 8736887029 10081023495 26210661087 43684435145 131053305435