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135352831 = 2953831061
BaseRepresentation
bin10000001000101…
…01000111111111
3100102200122011211
420010111013333
5234122242311
621233025251
73232323445
oct1004250777
9312618154
10135352831
116a448649
12393b5227
1322071043
1413d94b95
15bd39821
hex81151ff

135352831 has 16 divisors (see below), whose sum is σ = 144516960. Its totient is φ = 126555520.

The previous prime is 135352829. The next prime is 135352837. The reversal of 135352831 is 138253531.

135352831 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 135352831 - 21 = 135352829 is a prime.

It is a super-2 number, since 2×1353528312 = 36640777719429122, 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 = 135352793 and 135352802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135352837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127041 + ... + 128101.

It is an arithmetic number, because the mean of its divisors is an integer number (9032310).

Almost surely, 2135352831 is an apocalyptic number.

135352831 is a deficient number, since it is larger than the sum of its proper divisors (9164129).

135352831 is a wasteful number, since it uses less digits than its factorization.

135352831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226.

The product of its digits is 10800, while the sum is 31.

The square root of 135352831 is about 11634.1235595983. The cubic root of 135352831 is about 513.4393082025.

The spelling of 135352831 in words is "one hundred thirty-five million, three hundred fifty-two thousand, eight hundred thirty-one".

Divisors: 1 29 53 83 1061 1537 2407 4399 30769 56233 88063 127571 1630757 2553827 4667339 135352831