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1231131135 = 35136313493
BaseRepresentation
bin100100101100001…
…1001000111111111
310011210120221102110
41021120121013333
510010132144020
6322055225103
742336304413
oct11130310777
93153527373
101231131135
11581a3a053
122a4378193
131680a4280
14b9714d43
15731398e0
hex496191ff

1231131135 has 16 divisors (see below), whose sum is σ = 2121333984. Its totient is φ = 606095232.

The previous prime is 1231131127. The next prime is 1231131137. The reversal of 1231131135 is 5311311321.

It is not a de Polignac number, because 1231131135 - 23 = 1231131127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231131137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3156552 + ... + 3156941.

It is an arithmetic number, because the mean of its divisors is an integer number (132583374).

Almost surely, 21231131135 is an apocalyptic number.

1231131135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1231131135 is a deficient number, since it is larger than the sum of its proper divisors (890202849).

1231131135 is a wasteful number, since it uses less digits than its factorization.

1231131135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313514.

The product of its digits is 270, while the sum is 21.

The square root of 1231131135 is about 35087.4783220453. The cubic root of 1231131135 is about 1071.7696093656.

Adding to 1231131135 its reverse (5311311321), we get a palindrome (6542442456).

The spelling of 1231131135 in words is "one billion, two hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 195 6313493 18940479 31567465 82075409 94702395 246226227 410377045 1231131135