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11220130120 = 2353713755337
BaseRepresentation
bin10100111001100010…
…11001100101001000
31001221221122122222211
422130301121211020
5140434323130440
65053210154504
7545021350423
oct123461314510
931857578884
1011220130120
11483851a911
122211722a34
13109a70c364
147862129ba
1545a072eea
hex29cc59948

11220130120 has 64 divisors (see below), whose sum is σ = 26117322480. Its totient is φ = 4334800896.

The previous prime is 11220130091. The next prime is 11220130133. The reversal of 11220130120 is 2103102211.

It can be written as a sum of positive squares in 8 ways, for example, as 7109525124 + 4110604996 = 84318^2 + 64114^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11220130120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175092 + ... + 230428.

Almost surely, 211220130120 is an apocalyptic number.

11220130120 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 11220130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13058661240).

11220130120 is an abundant number, since it is smaller than the sum of its proper divisors (14897192360).

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

11220130120 is a wasteful number, since it uses less digits than its factorization.

11220130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55522 (or 55518 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11220130120 its reverse (2103102211), we get a palindrome (13323232331).

The spelling of 11220130120 in words is "eleven billion, two hundred twenty million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 137 148 185 274 296 370 548 685 740 1096 1370 1480 2740 5069 5480 10138 20276 25345 40552 50690 55337 101380 110674 202760 221348 276685 442696 553370 1106740 2047469 2213480 4094938 7581169 8189876 10237345 15162338 16379752 20474690 30324676 37905845 40949380 60649352 75811690 81898760 151623380 280503253 303246760 561006506 1122013012 1402516265 2244026024 2805032530 5610065060 11220130120