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1102123008 = 2123274271
BaseRepresentation
bin100000110110001…
…0001000000000000
32211210211122112200
41001230101000000
54224120414013
6301210153200
736211614420
oct10154210000
92753748480
101102123008
11516135368
12269122800
131474450bc
14a6532480
1566b54e73
hex41b11000

1102123008 has 156 divisors (see below), whose sum is σ = 3639163008. Its totient is φ = 314818560.

The previous prime is 1102123007. The next prime is 1102123019. The reversal of 1102123008 is 8003212011.

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

It is not an unprimeable number, because it can be changed into a prime (1102123007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255913 + ... + 260183.

It is an arithmetic number, because the mean of its divisors is an integer number (23327968).

Almost surely, 21102123008 is an apocalyptic number.

1102123008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102123008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819581504).

1102123008 is an abundant number, since it is smaller than the sum of its proper divisors (2537040000).

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

1102123008 is an equidigital number, since it uses as much as digits as its factorization.

1102123008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1102123008 is about 33198.2380255338. The cubic root of 1102123008 is about 1032.9437913830.

Adding to 1102123008 its reverse (8003212011), we get a palindrome (9105335019).

The spelling of 1102123008 in words is "one billion, one hundred two million, one hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4271 4608 5376 6144 7168 8064 8542 9216 10752 12288 12813 14336 16128 17084 18432 21504 25626 28672 29897 32256 34168 36864 38439 43008 51252 59794 64512 68336 76878 86016 89691 102504 119588 129024 136672 153756 179382 205008 239176 258048 269073 273344 307512 358764 410016 478352 538146 546688 615024 717528 820032 956704 1076292 1093376 1230048 1435056 1640064 1913408 2152584 2186752 2460096 2870112 3280128 3826816 4305168 4373504 4920192 5740224 6560256 7653632 8610336 8747008 9840384 11480448 13120512 15307264 17220672 17494016 19680768 22960896 26241024 30614528 34441344 39361536 45921792 52482048 61229056 68882688 78723072 91843584 122458112 137765376 157446144 183687168 275530752 367374336 551061504 1102123008