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11113022100 = 22352198812213
BaseRepresentation
bin10100101100110001…
…10100001010010100
31001200111010000102010
422112120310022110
5140224413201400
65034422344220
7542251062225
oct122630641224
931614100363
1011113022100
114793013a94
1221a188b070
13108147a42b
14775cd124c
15450967450
hex296634294

11113022100 has 144 divisors (see below), whose sum is σ = 33899705280. Its totient is φ = 2803046400.

The previous prime is 11113022099. The next prime is 11113022101. The reversal of 11113022100 is 122031111.

It is an interprime number because it is at equal distance from previous prime (11113022099) and next prime (11113022101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113022101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5020594 + ... + 5022806.

It is an arithmetic number, because the mean of its divisors is an integer number (235414620).

Almost surely, 211113022100 is an apocalyptic number.

11113022100 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 11113022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16949852640).

11113022100 is an abundant number, since it is smaller than the sum of its proper divisors (22786683180).

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

11113022100 is a wasteful number, since it uses less digits than its factorization.

11113022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3123 counting only the distinct ones).

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

Adding to 11113022100 its reverse (122031111), we get a palindrome (11235053211).

The spelling of 11113022100 in words is "eleven billion, one hundred thirteen million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 881 950 1140 1425 1762 1900 2213 2643 2850 3524 4405 4426 5286 5700 6639 8810 8852 10572 11065 13215 13278 16739 17620 22025 22130 26430 26556 33195 33478 42047 44050 44260 50217 52860 55325 66075 66390 66956 83695 84094 88100 100434 110650 126141 132150 132780 165975 167390 168188 200868 210235 221300 251085 252282 264300 331950 334780 418475 420470 502170 504564 630705 663900 836950 840940 1004340 1051175 1255425 1261410 1673900 1949653 2102350 2510850 2522820 3153525 3899306 4204700 5021700 5848959 6307050 7798612 9748265 11697918 12614100 19496530 23395836 29244795 37043407 38993060 48741325 58489590 74086814 97482650 111130221 116979180 146223975 148173628 185217035 194965300 222260442 292447950 370434070 444520884 555651105 584895900 740868140 926085175 1111302210 1852170350 2222604420 2778255525 3704340700 5556511050 11113022100