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135303047 = 11219229257
BaseRepresentation
bin10000001000010…
…00111110000111
3100102121002212222
420010020332013
5234114144142
621232002555
73232025345
oct1004107607
9312532788
10135303047
116a414200
123939045b
1322054499
1413d80995
15bd29bd2
hex8108f87

135303047 has 24 divisors (see below), whose sum is σ = 157844400. Its totient is φ = 115568640.

The previous prime is 135303041. The next prime is 135303053. The reversal of 135303047 is 740303531.

It is an interprime number because it is at equal distance from previous prime (135303041) and next prime (135303053).

It is not a de Polignac number, because 135303047 - 216 = 135237511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135303041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526343 + ... + 526599.

It is an arithmetic number, because the mean of its divisors is an integer number (6576850).

Almost surely, 2135303047 is an apocalyptic number.

135303047 is a deficient number, since it is larger than the sum of its proper divisors (22541353).

135303047 is a wasteful number, since it uses less digits than its factorization.

135303047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 135303047 is about 11631.9837946930. The cubic root of 135303047 is about 513.3763512702.

Adding to 135303047 its reverse (740303531), we get a palindrome (875606578).

The spelling of 135303047 in words is "one hundred thirty-five million, three hundred three thousand, forty-seven".

Divisors: 1 11 19 121 209 229 257 2299 2519 2827 4351 4883 27709 31097 47861 53713 58853 526471 590843 647383 1118207 7121213 12300277 135303047