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1123108416 = 2634216649
BaseRepresentation
bin100001011110001…
…0100011001000000
32220021022211010000
41002330110121000
54300003432131
6303240040000
736555156363
oct10274243100
92807284100
101123108416
11526a68a81
12274163000
1314b8b1bc1
14a92360da
15688ecce6
hex42f14640

1123108416 has 70 divisors (see below), whose sum is σ = 3329260550. Its totient is φ = 374367744.

The previous prime is 1123108403. The next prime is 1123108453. The reversal of 1123108416 is 6148013211.

It is a happy number.

1123108416 is a `hidden beast` number, since 11 + 231 + 0 + 8 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 702038016 + 421070400 = 26496^2 + 20520^2 .

It is a super-2 number, since 2×11231084162 = 2522745028180058112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1123108416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 103141 + ... + 113508.

It is an arithmetic number, because the mean of its divisors is an integer number (47560865).

Almost surely, 21123108416 is an apocalyptic number.

1123108416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1123108416 is an abundant number, since it is smaller than the sum of its proper divisors (2206152134).

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

1123108416 is an equidigital number, since it uses as much as digits as its factorization.

1123108416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216673 (or 216654 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1123108416 is about 33512.8097300122. The cubic root of 1123108416 is about 1039.4586729196.

The spelling of 1123108416 in words is "one billion, one hundred twenty-three million, one hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 216649 433298 649947 866596 1299894 1733192 1949841 2599788 3466384 3899682 5199576 5849523 6932768 7799364 10399152 11699046 13865536 15598728 17548569 20798304 23398092 31197456 35097138 41596608 46796184 62394912 70194276 93592368 124789824 140388552 187184736 280777104 374369472 561554208 1123108416