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11203200112 = 2413311998731
BaseRepresentation
bin10100110111100001…
…10100010001110000
31001220202210112101111
422123300310101300
5140421004400422
65051403243104
7544424425666
oct123360642160
931822715344
1011203200112
114829a07075
122207b19494
1310970623c0
14783c86c36
1545882ba77
hex29bc34470

11203200112 has 80 divisors (see below), whose sum is σ = 24254003200. Its totient is φ = 4978195200.

The previous prime is 11203200089. The next prime is 11203200119. The reversal of 11203200112 is 21100230211.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11203200092 and 11203200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203200119) 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, 1278787 + ... + 1287517.

It is an arithmetic number, because the mean of its divisors is an integer number (303175040).

Almost surely, 211203200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11203200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12127001600).

11203200112 is an abundant number, since it is smaller than the sum of its proper divisors (13050803088).

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

11203200112 is a wasteful number, since it uses less digits than its factorization.

11203200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8982 (or 8976 counting only the distinct ones).

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

Adding to 11203200112 its reverse (21100230211), we get a palindrome (32303430323).

The spelling of 11203200112 in words is "eleven billion, two hundred three million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 199 208 248 398 403 496 796 806 1592 1612 2587 3184 3224 5174 6169 6448 8731 10348 12338 17462 20696 24676 34924 41392 49352 69848 80197 98704 113503 139696 160394 227006 270661 320788 454012 541322 641576 908024 1082644 1283152 1737469 1816048 2165288 3474938 3518593 4330576 6949876 7037186 13899752 14074372 22587097 27799504 28148744 45174194 53861539 56297488 90348388 107723078 180696776 215446156 361393552 430892312 700200007 861784624 1400400014 2800800028 5601600056 11203200112