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11200010200 = 2352359389401
BaseRepresentation
bin10100110111001001…
…01001011111011000
31001220112210110122121
422123210221133120
5140414200311300
65051211031024
7544355341651
oct123344513730
931815713577
1011200010200
114828128485
122206a3b474
1310964b6492
14783696528
154583eb81a
hex29b9297d8

11200010200 has 96 divisors (see below), whose sum is σ = 26244972000. Its totient is φ = 4444928000.

The previous prime is 11200010167. The next prime is 11200010209. The reversal of 11200010200 is 201000211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200010209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27930000 + ... + 27930400.

It is an arithmetic number, because the mean of its divisors is an integer number (273385125).

Almost surely, 211200010200 is an apocalyptic number.

11200010200 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 11200010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122486000).

11200010200 is an abundant number, since it is smaller than the sum of its proper divisors (15044961800).

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

11200010200 is a wasteful number, since it uses less digits than its factorization.

11200010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11200010200 its reverse (201000211), we get a palindrome (11401010411).

The spelling of 11200010200 in words is "eleven billion, two hundred million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 359 389 401 718 778 802 1436 1556 1604 1795 1945 2005 2872 3112 3208 3590 3890 4010 7180 7780 8020 8975 9725 10025 14360 15560 16040 17950 19450 20050 35900 38900 40100 71800 77800 80200 139651 143959 155989 279302 287918 311978 558604 575836 623956 698255 719795 779945 1117208 1151672 1247912 1396510 1439590 1559890 2793020 2879180 3119780 3491275 3598975 3899725 5586040 5758360 6239560 6982550 7197950 7799450 13965100 14395900 15598900 27930200 28791800 31197800 56000051 112000102 224000204 280000255 448000408 560000510 1120001020 1400001275 2240002040 2800002550 5600005100 11200010200