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135587141801013 = 3717709565794693
BaseRepresentation
bin11110110101000011010111…
…011011000101010000110101
3122210002000010001000021122010
4132311003113123011100311
5120232424431300113023
61200211512324554433
740362563525345220
oct3665032733052065
9583060101007563
10135587141801013
113a225202885051
1213259843552a19
135a86a743c2c86
14256a64a2125b7
1510a1decd96093
hex7b50d76c5435

135587141801013 has 64 divisors (see below), whose sum is σ = 219112037521920. Its totient is φ = 72804324483072.

The previous prime is 135587141801003. The next prime is 135587141801021. The reversal of 135587141801013 is 310108141785531.

It is not a de Polignac number, because 135587141801013 - 26 = 135587141800949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135587141801003) 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, 1431812895 + ... + 1431907587.

It is an arithmetic number, because the mean of its divisors is an integer number (3423625586280).

Almost surely, 2135587141801013 is an apocalyptic number.

It is an amenable number.

135587141801013 is a deficient number, since it is larger than the sum of its proper divisors (83524895720907).

135587141801013 is a wasteful number, since it uses less digits than its factorization.

135587141801013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101086.

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 135587141801013 in words is "one hundred thirty-five trillion, five hundred eighty-seven billion, one hundred forty-one million, eight hundred one thousand, thirteen".

Divisors: 1 3 7 17 21 51 119 357 709 2127 4963 5657 12053 14889 16971 36159 39599 84371 94693 96169 118797 253113 284079 288507 662851 673183 1609781 1988553 2019549 4010813 4829343 11268467 12032439 28075691 33805401 67137337 68183821 84227073 201412011 204551463 469961359 477286747 535678301 1141334729 1409884077 1431860241 1607034903 3424004187 3749748107 7989343103 9106531117 11249244321 23968029309 27319593351 63745717819 191237153457 379795915409 1139387746227 2658571407863 6456530561953 7975714223589 19369591685859 45195713933671 135587141801013