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135152303 = 11135983193
BaseRepresentation
bin10000000111001…
…00001010101111
3100102022110002212
420003210022233
5234044333203
621224441035
73230530016
oct1003441257
9312273085
10135152303
116a320a20
123931917b
13220009a0
1413d41a7d
15bcea1d8
hex80e42af

135152303 has 32 divisors (see below), whose sum is σ = 164263680. Its totient is φ = 109578240.

The previous prime is 135152299. The next prime is 135152321. The reversal of 135152303 is 303251531.

It is a cyclic number.

It is not a de Polignac number, because 135152303 - 22 = 135152299 is a prime.

It is a super-2 number, since 2×1351523032 = 36532290012407618, which contains 22 as substring.

It is a Duffinian number.

135152303 is a modest number, since divided by 52303 gives 1351 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135152603) 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, 700175 + ... + 700367.

It is an arithmetic number, because the mean of its divisors is an integer number (5133240).

Almost surely, 2135152303 is an apocalyptic number.

135152303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

135152303 is a deficient number, since it is larger than the sum of its proper divisors (29111377).

135152303 is a wasteful number, since it uses less digits than its factorization.

135152303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 135152303 is about 11625.5022687194. The cubic root of 135152303 is about 513.1856259214.

The spelling of 135152303 in words is "one hundred thirty-five million, one hundred fifty-two thousand, three hundred three".

Divisors: 1 11 13 59 83 143 193 649 767 913 1079 2123 2509 4897 8437 11387 11869 16019 27599 53867 63661 125257 148031 176209 208247 700271 945121 1628341 2290717 10396331 12286573 135152303