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1133002022200 = 235289120152999
BaseRepresentation
bin10000011111001100001…
…011101101110100111000
311000022110212012012101021
4100133030023231310320
5122030342004202300
62224254405232224
7144566563200466
oct20371413556470
94008425165337
101133002022200
113a755a116804
12163700102674
1382ac30b2169
143cba24c3836
151e712e1cd1a
hex107cc2edd38

1133002022200 has 96 divisors (see below), whose sum is σ = 2666096100000. Its totient is φ = 447727104000.

The previous prime is 1133002022189. The next prime is 1133002022203. The reversal of 1133002022200 is 22202003311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133002022203) 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, 21351301 + ... + 21404299.

It is an arithmetic number, because the mean of its divisors is an integer number (27771834375).

Almost surely, 21133002022200 is an apocalyptic number.

1133002022200 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 1133002022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333048050000).

1133002022200 is an abundant number, since it is smaller than the sum of its proper divisors (1533094077800).

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

1133002022200 is a wasteful number, since it uses less digits than its factorization.

1133002022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54305 (or 54296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1133002022200 its reverse (22202003311), we get a palindrome (1155204025511).

The spelling of 1133002022200 in words is "one trillion, one hundred thirty-three billion, two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1201 1780 2225 2402 3560 4450 4804 6005 8900 9608 12010 17800 24020 30025 48040 52999 60050 105998 106889 120100 211996 213778 240200 264995 423992 427556 529990 534445 855112 1059980 1068890 1324975 2119960 2137780 2649950 2672225 4275560 4716911 5299900 5344450 9433822 10599800 10688900 18867644 21377800 23584555 37735288 47169110 63651799 94338220 117922775 127303598 188676440 235845550 254607196 318258995 471691100 509214392 636517990 943382200 1273035980 1591294975 2546071960 3182589950 5665010111 6365179900 11330020222 12730359800 22660040444 28325050555 45320080888 56650101110 113300202220 141625252775 226600404440 283250505550 566501011100 1133002022200