Search a number
-
+
11220010500 = 2235313953813
BaseRepresentation
bin10100111001100001…
…11100011000000100
31001221221102120220110
422130300330120010
5140434310314000
65053203433020
7545020341606
oct123460743004
931857376813
1011220010500
114838448a56
122211685770
13109a699a8a
147861c1176
1545a04c850
hex29cc3c604

11220010500 has 96 divisors (see below), whose sum is σ = 32908337280. Its totient is φ = 2970422400.

The previous prime is 11220010463. The next prime is 11220010537. The reversal of 11220010500 is 501002211.

It is an interprime number because it is at equal distance from previous prime (11220010463) and next prime (11220010537).

It is a super-2 number, since 2×112200105002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181594 + ... + 235406.

It is an arithmetic number, because the mean of its divisors is an integer number (342795180).

Almost surely, 211220010500 is an apocalyptic number.

11220010500 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 11220010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16454168640).

11220010500 is an abundant number, since it is smaller than the sum of its proper divisors (21688326780).

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

11220010500 is a wasteful number, since it uses less digits than its factorization.

11220010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53974 (or 53962 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 11220010500 its reverse (501002211), we get a palindrome (11721012711).

The spelling of 11220010500 in words is "eleven billion, two hundred twenty million, ten thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 139 150 250 278 300 375 417 500 556 695 750 834 1390 1500 1668 2085 2780 3475 4170 6950 8340 10425 13900 17375 20850 34750 41700 52125 53813 69500 104250 107626 161439 208500 215252 269065 322878 538130 645756 807195 1076260 1345325 1614390 2690650 3228780 4035975 5381300 6726625 7480007 8071950 13453250 14960014 16143900 20179875 22440021 26906500 29920028 37400035 40359750 44880042 74800070 80719500 89760084 112200105 149600140 187000175 224400210 374000350 448800420 561000525 748000700 935000875 1122001050 1870001750 2244002100 2805002625 3740003500 5610005250 11220010500