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1041141222 = 233115333071
BaseRepresentation
bin111110000011101…
…000110111100110
32200120002110021000
4332003220313212
54113013004342
6251151134130
734541361102
oct7603506746
92616073230
101041141222
114947738a0
12250814346
131379132c4
149c3ba902
156160b44c
hex3e0e8de6

1041141222 has 64 divisors (see below), whose sum is σ = 2571678720. Its totient is φ = 309535200.

The previous prime is 1041141221. The next prime is 1041141247. The reversal of 1041141222 is 2221411401.

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

It is a junction number, because it is equal to n+sod(n) for n = 1041141195 and 1041141204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041141221) 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 31 ways as a sum of consecutive naturals, for example, 14947 + ... + 48017.

It is an arithmetic number, because the mean of its divisors is an integer number (40182480).

Almost surely, 21041141222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041141222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285839360).

1041141222 is an abundant number, since it is smaller than the sum of its proper divisors (1530537498).

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

1041141222 is a wasteful number, since it uses less digits than its factorization.

1041141222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33146 (or 33140 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1041141222 is about 32266.7200378346. The cubic root of 1041141222 is about 1013.5298580297.

Adding to 1041141222 its reverse (2221411401), we get a palindrome (3262552623).

The spelling of 1041141222 in words is "one billion, forty-one million, one hundred forty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 477 583 594 954 1166 1431 1749 2862 3498 5247 10494 15741 31482 33071 66142 99213 198426 297639 363781 595278 727562 892917 1091343 1752763 1785834 2182686 3274029 3505526 5258289 6548058 9822087 10516578 15774867 19280393 19644174 31549734 38560786 47324601 57841179 94649202 115682358 173523537 347047074 520570611 1041141222