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1133201000 = 235310331097
BaseRepresentation
bin100001110001011…
…0100011001101000
32220222022120112102
41003202310121220
54310044413000
6304240232532
740040023001
oct10342643150
92828276472
101133201000
11531731758
1227760b748
13150a06949
14aa7021a8
15697433d5
hex438b4668

1133201000 has 64 divisors (see below), whose sum is σ = 2656676880. Its totient is φ = 452428800.

The previous prime is 1133200993. The next prime is 1133201033. The reversal of 1133201000 is 1023311.

It can be written as a sum of positive squares in 8 ways, for example, as 146361604 + 986839396 = 12098^2 + 31414^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1032452 + ... + 1033548.

Almost surely, 21133201000 is an apocalyptic number.

1133201000 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 1133201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328338440).

1133201000 is an abundant number, since it is smaller than the sum of its proper divisors (1523475880).

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

1133201000 is a wasteful number, since it uses less digits than its factorization.

1133201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1133201000 is about 33663.0509609572. The cubic root of 1133201000 is about 1042.5630201117.

Adding to 1133201000 its reverse (1023311), we get a palindrome (1134224311).

The spelling of 1133201000 in words is "one billion, one hundred thirty-three million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1033 1097 2066 2194 4132 4388 5165 5485 8264 8776 10330 10970 20660 21940 25825 27425 41320 43880 51650 54850 103300 109700 129125 137125 206600 219400 258250 274250 516500 548500 1033000 1097000 1133201 2266402 4532804 5666005 9065608 11332010 22664020 28330025 45328040 56660050 113320100 141650125 226640200 283300250 566600500 1133201000