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135331407 = 32171934583
BaseRepresentation
bin10000001000011…
…11111001001111
3100102122112210100
420010033321033
5234121101112
621232342143
73232204131
oct1004177117
9312575710
10135331407
116a433542
12393a4953
1322064373
1413d8b051
15bd332dc
hex810fe4f

135331407 has 24 divisors (see below), whose sum is σ = 208095264. Its totient is φ = 84455424.

The previous prime is 135331403. The next prime is 135331411. The reversal of 135331407 is 704133531.

135331407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135331403) and next prime (135331411).

It is not a de Polignac number, because 135331407 - 22 = 135331403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135331403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27238 + ... + 31820.

It is an arithmetic number, because the mean of its divisors is an integer number (8670636).

Almost surely, 2135331407 is an apocalyptic number.

135331407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

135331407 is a deficient number, since it is larger than the sum of its proper divisors (72763857).

135331407 is a wasteful number, since it uses less digits than its factorization.

135331407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 135331407 is about 11633.2027834127. The cubic root of 135331407 is about 513.4122172677.

Adding to 135331407 its reverse (704133531), we get a palindrome (839464938).

The spelling of 135331407 in words is "one hundred thirty-five million, three hundred thirty-one thousand, four hundred seven".

Divisors: 1 3 9 17 51 153 193 579 1737 3281 4583 9843 13749 29529 41247 77911 233733 701199 884519 2653557 7960671 15036823 45110469 135331407