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1131312222 = 232376127847
BaseRepresentation
bin100001101101110…
…0111010001011110
32220211202121121200
41003123213101132
54304103442342
6304131540330
740014665235
oct10333472136
92824677550
101131312222
11530661687
12276a5a6a6
131504c5021
14aa36db1c
15694bd94c
hex436e745e

1131312222 has 48 divisors (see below), whose sum is σ = 2558785632. Its totient is φ = 360884160.

The previous prime is 1131312181. The next prime is 1131312229. The reversal of 1131312222 is 2222131311.

1131312222 is a `hidden beast` number, since 1 + 131 + 312 + 222 = 666.

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 junction number, because it is equal to n+sod(n) for n = 1131312195 and 1131312204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131312229) 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 23 ways as a sum of consecutive naturals, for example, 26703 + ... + 54549.

It is an arithmetic number, because the mean of its divisors is an integer number (53308034).

Almost surely, 21131312222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131312222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279392816).

1131312222 is an abundant number, since it is smaller than the sum of its proper divisors (1427473410).

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

1131312222 is a wasteful number, since it uses less digits than its factorization.

1131312222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27953 (or 27950 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1131312222 is about 33634.9850899328. The cubic root of 1131312222 is about 1041.9834626877.

Adding to 1131312222 its reverse (2222131311), we get a palindrome (3353443533).

The spelling of 1131312222 in words is "one billion, one hundred thirty-one million, three hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 183 222 333 366 549 666 1098 2257 4514 6771 13542 20313 27847 40626 55694 83541 167082 250623 501246 1030339 1698667 2060678 3091017 3397334 5096001 6182034 9273051 10192002 15288003 18546102 30576006 62850679 125701358 188552037 377104074 565656111 1131312222