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11210111200 = 2552101138739
BaseRepresentation
bin10100111000010110…
…01011100011100000
31001221020210122121201
422130023023203200
5140424242024300
65052211330544
7544540241641
oct123413134340
931836718551
1011210111200
1148328a7512
12220a2b0a54
131098611cc2
14784b656c8
1545924466a
hex29c2cb8e0

11210111200 has 72 divisors (see below), whose sum is σ = 27637840440. Its totient is φ = 4439616000.

The previous prime is 11210111177. The next prime is 11210111203. The reversal of 11210111200 is 211101211.

It is a super-3 number, since 3×112101112003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210111203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11431 + ... + 150169.

It is an arithmetic number, because the mean of its divisors is an integer number (383858895).

Almost surely, 211210111200 is an apocalyptic number.

11210111200 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 11210111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818920220).

11210111200 is an abundant number, since it is smaller than the sum of its proper divisors (16427729240).

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

11210111200 is a wasteful number, since it uses less digits than its factorization.

11210111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138860 (or 138847 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11210111200 its reverse (211101211), we get a palindrome (11421212411).

It can be divided in two parts, 1121011 and 1200, that added together give a palindrome (1122211).

The spelling of 11210111200 in words is "eleven billion, two hundred ten million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 160 200 202 400 404 505 800 808 1010 1616 2020 2525 3232 4040 5050 8080 10100 16160 20200 40400 80800 138739 277478 554956 693695 1109912 1387390 2219824 2774780 3468475 4439648 5549560 6936950 11099120 13873900 14012639 22198240 27747800 28025278 55495600 56050556 70063195 110991200 112101112 140126390 224202224 280252780 350315975 448404448 560505560 700631950 1121011120 1401263900 2242022240 2802527800 5605055600 11210111200