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115348131 = 3412711213
BaseRepresentation
bin1101110000000…
…01001010100011
322001001021220000
412320001022203
5214012120011
615240151043
72600304633
oct670011243
9261037800
10115348131
115a124838
1232768483
131ab88742
14114686c3
15a1d7356
hex6e012a3

115348131 has 20 divisors (see below), whose sum is σ = 173682432. Its totient is φ = 76286448.

The previous prime is 115348097. The next prime is 115348153. The reversal of 115348131 is 131843511.

115348131 is a `hidden beast` number, since 1 + 153 + 481 + 31 = 666.

It is not a de Polignac number, because 115348131 - 26 = 115348067 is a prime.

It is a super-3 number, since 3×1153481313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 115348095 and 115348104.

It is not an unprimeable number, because it can be changed into a prime (115348531) 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 19 ways as a sum of consecutive naturals, for example, 4681 + ... + 15893.

Almost surely, 2115348131 is an apocalyptic number.

115348131 is a deficient number, since it is larger than the sum of its proper divisors (58334301).

115348131 is a wasteful number, since it uses less digits than its factorization.

115348131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352 (or 11343 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 115348131 is about 10740.0247206419. The cubic root of 115348131 is about 486.7846264905.

It can be divided in two parts, 1153 and 48131, that added together give a square (49284 = 2222).

The spelling of 115348131 in words is "one hundred fifteen million, three hundred forty-eight thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 127 381 1143 3429 10287 11213 33639 100917 302751 908253 1424051 4272153 12816459 38449377 115348131