Search a number
-
+
1102000032 = 25337182209
BaseRepresentation
bin100000110101111…
…0010111110100000
32211210121101212000
41001223302332200
54224103000112
6301203404000
736210563040
oct10153627640
92753541760
101102000032
11516060a31
12269083600
13147401133
14a64dd720
1566b2d7dc
hex41af2fa0

1102000032 has 96 divisors (see below), whose sum is σ = 3673353600. Its totient is φ = 314855424.

The previous prime is 1102000013. The next prime is 1102000033. The reversal of 1102000032 is 2300002011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101999978 and 1102000023.

It is not an unprimeable number, because it can be changed into a prime (1102000033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85057 + ... + 97152.

It is an arithmetic number, because the mean of its divisors is an integer number (38264100).

Almost surely, 21102000032 is an apocalyptic number.

1102000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1102000032 is an abundant number, since it is smaller than the sum of its proper divisors (2571353568).

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

1102000032 is a wasteful number, since it uses less digits than its factorization.

1102000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182235 (or 182221 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1102000032 is about 33196.3858273758. The cubic root of 1102000032 is about 1032.9053709829.

Adding to 1102000032 its reverse (2300002011), we get a palindrome (3402002043).

The spelling of 1102000032 in words is "one billion, one hundred two million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 182209 364418 546627 728836 1093254 1275463 1457672 1639881 2186508 2550926 2915344 3279762 3826389 4373016 4919643 5101852 5830688 6559524 7652778 8746032 9839286 10203704 11479167 13119048 15305556 17492064 19678572 20407408 22958334 26238096 30611112 34437501 39357144 40814816 45916668 52476192 61222224 68875002 78714288 91833336 122444448 137750004 157428576 183666672 275500008 367333344 551000016 1102000032