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136412331 = 31114927743
BaseRepresentation
bin10000010000101…
…11110010101011
3100111200110112120
420020113302223
5234410143311
621311442323
73244325406
oct1010276253
9314613476
10136412331
1170001670
12398263a3
1322352373
141418cd3d
15be98706
hex8217cab

136412331 has 16 divisors (see below), whose sum is σ = 199756800. Its totient is φ = 82116320.

The previous prime is 136412329. The next prime is 136412359. The reversal of 136412331 is 133214631.

It is a happy number.

It is not a de Polignac number, because 136412331 - 21 = 136412329 is a prime.

It is a super-2 number, since 2×1364123312 = 37216648097707122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136412231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8955 + ... + 18788.

It is an arithmetic number, because the mean of its divisors is an integer number (12484800).

Almost surely, 2136412331 is an apocalyptic number.

136412331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136412331 is a deficient number, since it is larger than the sum of its proper divisors (63344469).

136412331 is a wasteful number, since it uses less digits than its factorization.

136412331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27906.

The product of its digits is 1296, while the sum is 24.

The square root of 136412331 is about 11679.5689560874. The cubic root of 136412331 is about 514.7755090322.

Adding to 136412331 its reverse (133214631), we get a palindrome (269626962).

It can be divided in two parts, 1364 and 12331, that added together give a triangular number (13695 = T165).

The spelling of 136412331 in words is "one hundred thirty-six million, four hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 11 33 149 447 1639 4917 27743 83229 305173 915519 4133707 12401121 45470777 136412331