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1133144200 = 235267103821
BaseRepresentation
bin100001110001010…
…0110100010001000
32220222012200121201
41003202212202020
54310041103300
6304235113544
740036365256
oct10342464210
92828180551
101133144200
115316a3011
122775a28b4
131509b6b36
14aa6c95d6
156973166a
hex438a6888

1133144200 has 96 divisors (see below), whose sum is σ = 2703130560. Its totient is φ = 441619200.

The previous prime is 1133144191. The next prime is 1133144227. The reversal of 1133144200 is 24413311.

It is an unprimeable number.

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, 1379790 + ... + 1380610.

It is an arithmetic number, because the mean of its divisors is an integer number (28157610).

Almost surely, 21133144200 is an apocalyptic number.

1133144200 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 1133144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351565280).

1133144200 is an abundant number, since it is smaller than the sum of its proper divisors (1569986360).

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

1133144200 is a wasteful number, since it uses less digits than its factorization.

1133144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1133144200 is about 33662.2072954226. The cubic root of 1133144200 is about 1042.5456008516.

Adding to 1133144200 its reverse (24413311), we get a palindrome (1157557511).

The spelling of 1133144200 in words is "one billion, one hundred thirty-three million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 103 134 200 206 268 335 412 515 536 670 821 824 1030 1340 1642 1675 2060 2575 2680 3284 3350 4105 4120 5150 6568 6700 6901 8210 10300 13400 13802 16420 20525 20600 27604 32840 34505 41050 55007 55208 69010 82100 84563 110014 138020 164200 169126 172525 220028 275035 276040 338252 345050 422815 440056 550070 676504 690100 845630 1100140 1375175 1380200 1691260 2114075 2200280 2750350 3382520 4228150 5500700 5665721 8456300 11001400 11331442 16912600 22662884 28328605 45325768 56657210 113314420 141643025 226628840 283286050 566572100 1133144200