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1131012 = 223289353
BaseRepresentation
bin100010100001000000100
32010110110100
410110020010
5242143022
640124100
712420261
oct4241004
92113410
101131012
11702823
12466630
13307a4c
14216268
151751ac
hex114204

1131012 has 36 divisors (see below), whose sum is σ = 2899260. Its totient is φ = 371712.

The previous prime is 1130981. The next prime is 1131023. The reversal of 1131012 is 2101311.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 799236 = 576^2 + 894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1130985 and 1131003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3028 + ... + 3380.

It is an arithmetic number, because the mean of its divisors is an integer number (80535).

21131012 is an apocalyptic number.

1131012 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 1131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449630).

1131012 is an abundant number, since it is smaller than the sum of its proper divisors (1768248).

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

1131012 is a wasteful number, since it uses less digits than its factorization.

1131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1131012 is about 1063.4904795060. The cubic root of 1131012 is about 104.1891282407.

Adding to 1131012 its reverse (2101311), we get a palindrome (3232323).

Subtracting 1131012 from its reverse (2101311), we obtain a cube (970299 = 993).

The spelling of 1131012 in words is "one million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 353 356 534 706 801 1059 1068 1412 1602 2118 3177 3204 4236 6354 12708 31417 62834 94251 125668 188502 282753 377004 565506 1131012