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1231131132 = 2232711444131
BaseRepresentation
bin100100101100001…
…1001000111111100
310011210120221102100
41021120121013330
510010132144012
6322055225100
742336304410
oct11130310774
93153527370
101231131132
11581a3a050
122a4378190
131680a427a
14b9714d40
15731398dc
hex496191fc

1231131132 has 72 divisors (see below), whose sum is σ = 3879937152. Its totient is φ = 319773600.

The previous prime is 1231131127. The next prime is 1231131137. The reversal of 1231131132 is 2311311321.

1231131132 is a `hidden beast` number, since 12 + 311 + 311 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (1231131127) and next prime (1231131137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219294 + ... + 224837.

It is an arithmetic number, because the mean of its divisors is an integer number (53888016).

Almost surely, 21231131132 is an apocalyptic number.

1231131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1231131132 is an abundant number, since it is smaller than the sum of its proper divisors (2648806020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1231131132 is a wasteful number, since it uses less digits than its factorization.

1231131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444159 (or 444154 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1231131132 is about 35087.4782792950. The cubic root of 1231131132 is about 1071.7696084950.

Adding to 1231131132 its reverse (2311311321), we get a palindrome (3542442453).

The spelling of 1231131132 in words is "one billion, two hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 444131 888262 1332393 1776524 2664786 3108917 3997179 4885441 5329572 6217834 7994358 9326751 9770882 12435668 14656323 15988716 18653502 19541764 27980253 29312646 34198087 37307004 43968969 55960506 58625292 68396174 87937938 102594261 111921012 136792348 175875876 205188522 307782783 410377044 615565566 1231131132