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1101132312 = 233724911907
BaseRepresentation
bin100000110100001…
…1111001000011000
32211201222022120020
41001220133020120
54223342213222
6301133030440
736200320200
oct10150371030
92751868506
101101132312
11515619005
12268925420
131471891a7
14a6355400
1566a0b65c
hex41a1f218

1101132312 has 96 divisors (see below), whose sum is σ = 3210477120. Its totient is φ = 313803840.

The previous prime is 1101132311. The next prime is 1101132359. The reversal of 1101132312 is 2132311011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1101132291 and 1101132300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101132311) 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, 576463 + ... + 578369.

It is an arithmetic number, because the mean of its divisors is an integer number (33442470).

Almost surely, 21101132312 is an apocalyptic number.

1101132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605238560).

1101132312 is an abundant number, since it is smaller than the sum of its proper divisors (2109344808).

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

1101132312 is a wasteful number, since it uses less digits than its factorization.

1101132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1101132312 is about 33183.3137585745. The cubic root of 1101132312 is about 1032.6341949489.

Adding to 1101132312 its reverse (2132311011), we get a palindrome (3233443323).

The spelling of 1101132312 in words is "one billion, one hundred one million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 491 588 982 1176 1473 1907 1964 2946 3437 3814 3928 5721 5892 6874 7628 10311 11442 11784 13349 13748 15256 20622 22884 24059 26698 27496 40047 41244 45768 48118 53396 72177 80094 82488 93443 96236 106792 144354 160188 186886 192472 280329 288708 320376 373772 560658 577416 747544 936337 1121316 1872674 2242632 2809011 3745348 5618022 6554359 7490696 11236044 13108718 19663077 22472088 26217436 39326154 45880513 52434872 78652308 91761026 137641539 157304616 183522052 275283078 367044104 550566156 1101132312