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1120220200 = 2352113491459
BaseRepresentation
bin100001011000101…
…0011010000101000
32220001220002020001
41002301103100220
54243234021300
6303054112344
736521500051
oct10261232050
92801802201
101120220200
11525376020
122731ab6b4
1314b1103b8
14a8ac3728
156852c16a
hex42c53428

1120220200 has 96 divisors (see below), whose sum is σ = 2851380000. Its totient is φ = 405907200.

The previous prime is 1120220191. The next prime is 1120220201. The reversal of 1120220200 is 20220211.

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

It is not an unprimeable number, because it can be changed into a prime (1120220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767071 + ... + 768529.

It is an arithmetic number, because the mean of its divisors is an integer number (29701875).

Almost surely, 21120220200 is an apocalyptic number.

1120220200 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 1120220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425690000).

1120220200 is an abundant number, since it is smaller than the sum of its proper divisors (1731159800).

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

1120220200 is a wasteful number, since it uses less digits than its factorization.

1120220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1120220200 is about 33469.6907664233. The cubic root of 1120220200 is about 1038.5668746724.

Adding to 1120220200 its reverse (20220211), we get a palindrome (1140440411).

The spelling of 1120220200 in words is "one billion, one hundred twenty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 349 440 550 698 1100 1396 1459 1745 2200 2792 2918 3490 3839 5836 6980 7295 7678 8725 11672 13960 14590 15356 16049 17450 19195 29180 30712 32098 34900 36475 38390 58360 64196 69800 72950 76780 80245 95975 128392 145900 153560 160490 191950 291800 320980 383900 401225 509191 641960 767800 802450 1018382 1604900 2036764 2545955 3209800 4073528 5091910 5601101 10183820 11202202 12729775 20367640 22404404 25459550 28005505 44808808 50919100 56011010 101838200 112022020 140027525 224044040 280055050 560110100 1120220200