Search a number
-
+
1101212200 = 2352111313821
BaseRepresentation
bin100000110100011…
…0010101000101000
32211202010101011001
41001220302220220
54223402242300
6301134444344
736201102124
oct10150625050
92752111131
101101212200
11515673030
122689636b4
131471b666a
14a6376584
1566a2516a
hex41a32a28

1101212200 has 96 divisors (see below), whose sum is σ = 2815132320. Its totient is φ = 397280000.

The previous prime is 1101212173. The next prime is 1101212207. The reversal of 1101212200 is 22121011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1101212207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 286290 + ... + 290110.

It is an arithmetic number, because the mean of its divisors is an integer number (29324295).

Almost surely, 21101212200 is an apocalyptic number.

1101212200 is a gapful number since it is divisible by the number (10) 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 1101212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407566160).

1101212200 is an abundant number, since it is smaller than the sum of its proper divisors (1713920120).

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

1101212200 is a wasteful number, since it uses less digits than its factorization.

1101212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1101212200 is about 33184.5174742680. The cubic root of 1101212200 is about 1032.6591671479.

Adding to 1101212200 its reverse (22121011), we get a palindrome (1123333211).

The spelling of 1101212200 in words is "one billion, one hundred one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 131 200 220 262 275 440 524 550 655 1048 1100 1310 1441 2200 2620 2882 3275 3821 5240 5764 6550 7205 7642 11528 13100 14410 15284 19105 26200 28820 30568 36025 38210 42031 57640 72050 76420 84062 95525 144100 152840 168124 191050 210155 288200 336248 382100 420310 500551 764200 840620 1001102 1050775 1681240 2002204 2101550 2502755 4004408 4203100 5005510 5506061 8406200 10011020 11012122 12513775 20022040 22024244 25027550 27530305 44048488 50055100 55060610 100110200 110121220 137651525 220242440 275303050 550606100 1101212200