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1121113200 = 243524321727
BaseRepresentation
bin100001011010010…
…1101010001110000
32220010120110012010
41002310231101300
54244001110300
6303125202520
736532206414
oct10264552160
92803513163
101121113200
11525925a39
12273560440
1314b3639bc
14a8c76d44
1568656a50
hex42d2d470

1121113200 has 120 divisors (see below), whose sum is σ = 3674987008. Its totient is φ = 291997440.

The previous prime is 1121113193. The next prime is 1121113207. The reversal of 1121113200 is 23111211.

It is an interprime number because it is at equal distance from previous prime (1121113193) and next prime (1121113207).

It is a tau number, because it is divible by the number of its divisors (120).

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 (1121113207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40737 + ... + 62463.

Almost surely, 21121113200 is an apocalyptic number.

1121113200 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 1121113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837493504).

1121113200 is an abundant number, since it is smaller than the sum of its proper divisors (2553873808).

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

1121113200 is a wasteful number, since it uses less digits than its factorization.

1121113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21791 (or 21780 counting only the distinct ones).

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

The square root of 1121113200 is about 33483.0285368573. The cubic root of 1121113200 is about 1038.8427709909.

Adding to 1121113200 its reverse (23111211), we get a palindrome (1144224411).

The spelling of 1121113200 in words is "one billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 129 150 172 200 215 240 258 300 344 400 430 516 600 645 688 860 1032 1075 1200 1290 1720 2064 2150 2580 3225 3440 4300 5160 6450 8600 10320 12900 17200 21727 25800 43454 51600 65181 86908 108635 130362 173816 217270 260724 325905 347632 434540 521448 543175 651810 869080 934261 1042896 1086350 1303620 1629525 1738160 1868522 2172700 2607240 2802783 3259050 3737044 4345400 4671305 5214480 5605566 6518100 7474088 8690800 9342610 11211132 13036200 14013915 14948176 18685220 22422264 23356525 26072400 28027830 37370440 44844528 46713050 56055660 70069575 74740880 93426100 112111320 140139150 186852200 224222640 280278300 373704400 560556600 1121113200