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1122320032 = 25311975743
BaseRepresentation
bin100001011100101…
…0011111010100000
32220012211202122121
41002321103322200
54244303220112
6303211114024
736545364031
oct10271237240
92805752577
101122320032
1152657a719
12273a42914
1314b6970c2
14a90aca88
15687e4407
hex42e53ea0

1122320032 has 48 divisors (see below), whose sum is σ = 2292820992. Its totient is φ = 540207360.

The previous prime is 1122319999. The next prime is 1122320047. The reversal of 1122320032 is 2300232211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1122319988 and 1122320015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192553 + ... + 198295.

It is an arithmetic number, because the mean of its divisors is an integer number (47767104).

Almost surely, 21122320032 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 1122320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146410496).

1122320032 is an abundant number, since it is smaller than the sum of its proper divisors (1170500960).

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

1122320032 is a wasteful number, since it uses less digits than its factorization.

1122320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1122320032 is about 33501.0452374251. The cubic root of 1122320032 is about 1039.2153944134.

Adding to 1122320032 its reverse (2300232211), we get a palindrome (3422552243).

The spelling of 1122320032 in words is "one billion, one hundred twenty-two million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 197 248 394 496 788 992 1576 3152 5743 6107 6304 11486 12214 22972 24428 45944 48856 91888 97712 178033 183776 195424 356066 712132 1131371 1424264 2262742 2848528 4525484 5697056 9050968 18101936 35072501 36203872 70145002 140290004 280580008 561160016 1122320032