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1123212032 = 2817614231
BaseRepresentation
bin100001011110010…
…1101101100000000
32220021112002020122
41002330231230000
54300020241112
6303242155412
736556100435
oct10274555400
92807462218
101123212032
11527029908
122741b2b68
1314b91a107
14a9261b8c
156891d872
hex42f2db00

1123212032 has 72 divisors (see below), whose sum is σ = 2413408032. Its totient is φ = 519782400.

The previous prime is 1123212031. The next prime is 1123212047. The reversal of 1123212032 is 2302123211.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1123212032.

It is not an unprimeable number, because it can be changed into a prime (1123212031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263357 + ... + 267587.

It is an arithmetic number, because the mean of its divisors is an integer number (33519556).

Almost surely, 21123212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206704016).

1123212032 is an abundant number, since it is smaller than the sum of its proper divisors (1290196000).

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

1123212032 is an equidigital number, since it uses as much as digits as its factorization.

1123212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1123212032 is about 33514.3556106932. The cubic root of 1123212032 is about 1039.4906381440.

Adding to 1123212032 its reverse (2302123211), we get a palindrome (3425335243).

The spelling of 1123212032 in words is "one billion, one hundred twenty-three million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 256 272 488 544 976 1037 1088 1952 2074 2176 3904 4148 4231 4352 7808 8296 8462 15616 16592 16924 33184 33848 66368 67696 71927 132736 135392 143854 258091 265472 270784 287708 516182 541568 575416 1032364 1083136 1150832 2064728 2301664 4129456 4387547 4603328 8258912 8775094 9206656 16517824 17550188 18413312 33035648 35100376 66071296 70200752 140401504 280803008 561606016 1123212032