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135340513 = 71131359
BaseRepresentation
bin10000001000100…
…10000111100001
3100102200000021121
420010102013201
5234121344023
621232452241
73232242520
oct1004220741
9312600247
10135340513
116a43a370
12393aa081
1322068559
1413d904b7
15bd35d5d
hex81121e1

135340513 has 32 divisors (see below), whose sum is σ = 177315840. Its totient is φ = 100328400.

The previous prime is 135340507. The next prime is 135340529. The reversal of 135340513 is 315043531.

It is not a de Polignac number, because 135340513 - 213 = 135332321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135340313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2293878 + ... + 2293936.

It is an arithmetic number, because the mean of its divisors is an integer number (5541120).

Almost surely, 2135340513 is an apocalyptic number.

It is an amenable number.

135340513 is a deficient number, since it is larger than the sum of its proper divisors (41975327).

135340513 is an frugal number, since it uses more digits than its factorization.

135340513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 135340513 is about 11633.5941565795. The cubic root of 135340513 is about 513.4237322759.

The spelling of 135340513 in words is "one hundred thirty-five million, three hundred forty thousand, five hundred thirteen".

Divisors: 1 7 11 31 59 77 217 341 413 649 961 1829 2387 4543 6727 10571 12803 20119 29791 56699 73997 140833 208537 327701 396893 623689 1757669 2293907 4365823 12303683 19334359 135340513