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135271080357413 = 711131926947263941
BaseRepresentation
bin11110110000011101000000…
…101100010110111000100101
3122201221210022011122101022112
4132300131000230112320211
5120212240133032414123
61155410402035210405
740331004321403430
oct3660350054267045
9581853264571275
10135271080357413
113a113163396520
1213208537146a05
135a63014b770b0
142559225d06817
151098aa0605d78
hex7b0740b16e25

135271080357413 has 64 divisors (see below), whose sum is σ = 191189618350080. Its totient is φ = 92173169030400.

The previous prime is 135271080357409. The next prime is 135271080357419. The reversal of 135271080357413 is 314753080172531.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 135271080357413 - 22 = 135271080357409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135271080357419) 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, 512373023 + ... + 512636963.

It is an arithmetic number, because the mean of its divisors is an integer number (2987337786720).

Almost surely, 2135271080357413 is an apocalyptic number.

135271080357413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135271080357413 is a deficient number, since it is larger than the sum of its proper divisors (55918537992667).

135271080357413 is a wasteful number, since it uses less digits than its factorization.

135271080357413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290938.

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 135271080357413 in words is "one hundred thirty-five trillion, two hundred seventy-one billion, eighty million, three hundred fifty-seven thousand, four hundred thirteen".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2717 19019 26947 188629 263941 296417 350311 511993 1847587 2074919 2452177 2903351 3431233 3583951 3853421 5014879 5631923 6655909 20323457 24018631 26973947 35104153 37743563 39423461 46591363 55163669 65193427 73214999 264204941 386145683 456353989 512504993 717127697 5019893879 7112418127 49786926889 78236599397 92461435651 135135944413 547656195779 647230049557 945951610891 1017075792161 1486495388543 1756767277369 7119530545127 10405467719801 12297370941583 19324440051059 135271080357413