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1131222414 = 237434713327
BaseRepresentation
bin100001101101101…
…0001010110001110
32220211121001102110
41003123101112032
54304043104124
6304130004450
740014142350
oct10333212616
92824531373
101131222414
11530600163
12276a16726
1315049319a
14aa3490d0
15694a2029
hex436d158e

1131222414 has 64 divisors (see below), whose sum is σ = 2702278656. Its totient is φ = 308949984.

The previous prime is 1131222413. The next prime is 1131222419. The reversal of 1131222414 is 4142221311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131222413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78219 + ... + 91545.

It is an arithmetic number, because the mean of its divisors is an integer number (42223104).

Almost surely, 21131222414 is an apocalyptic number.

1131222414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131222414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351139328).

1131222414 is an abundant number, since it is smaller than the sum of its proper divisors (1571056242).

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

1131222414 is a wasteful number, since it uses less digits than its factorization.

1131222414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13429.

The product of its digits is 384, while the sum is 21.

The square root of 1131222414 is about 33633.6500249378. The cubic root of 1131222414 is about 1041.9558897138.

Adding to 1131222414 its reverse (4142221311), we get a palindrome (5273443725).

The spelling of 1131222414 in words is "one billion, one hundred thirty-one million, two hundred twenty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 47 86 94 129 141 258 282 301 329 602 658 903 987 1806 1974 2021 4042 6063 12126 13327 14147 26654 28294 39981 42441 79962 84882 93289 186578 279867 559734 573061 626369 1146122 1252738 1719183 1879107 3438366 3758214 4011427 4384583 8022854 8769166 12034281 13153749 24068562 26307498 26933867 53867734 80801601 161603202 188537069 377074138 565611207 1131222414