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135363431 = 7247531109
BaseRepresentation
bin10000001000101…
…11101101100111
3100102201011201102
420010113231213
5234123112211
621233150315
73232366400
oct1004275547
9312634642
10135363431
116a455605
12393bb39b
1322075b08
1413d989a7
15bd3ca3b
hex8117b67

135363431 has 24 divisors (see below), whose sum is σ = 163995840. Its totient is φ = 111314112.

The previous prime is 135363413. The next prime is 135363433. The reversal of 135363431 is 134363531.

135363431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135363431 - 210 = 135362407 is a prime.

It is a super-2 number, since 2×1353634312 = 36646516904183522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135363394 and 135363403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135363433) 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, 121505 + ... + 122613.

It is an arithmetic number, because the mean of its divisors is an integer number (6833160).

Almost surely, 2135363431 is an apocalyptic number.

135363431 is a deficient number, since it is larger than the sum of its proper divisors (28632409).

135363431 is a wasteful number, since it uses less digits than its factorization.

135363431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1216 counting only the distinct ones).

The product of its digits is 9720, while the sum is 29.

The square root of 135363431 is about 11634.5791071272. The cubic root of 135363431 is about 513.4527109873.

The spelling of 135363431 in words is "one hundred thirty-five million, three hundred sixty-three thousand, four hundred thirty-one".

Divisors: 1 7 47 49 53 329 371 1109 2303 2491 2597 7763 17437 52123 54341 58777 122059 364861 411439 2554027 2762519 2880073 19337633 135363431