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1133212120 = 235294123827
BaseRepresentation
bin100001110001011…
…0111000111011000
32220222100010210021
41003202313013120
54310100241440
6304240400224
740040100265
oct10342670730
92828303707
101133212120
1153173a047
12277616074
13150a0ba21
14aa70626c
156974684a
hex438b71d8

1133212120 has 64 divisors (see below), whose sum is σ = 2702095200. Its totient is φ = 426961920.

The previous prime is 1133212111. The next prime is 1133212121. The reversal of 1133212120 is 212123311.

It is a junction number, because it is equal to n+sod(n) for n = 1133212094 and 1133212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133212121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35647 + ... + 59473.

Almost surely, 21133212120 is an apocalyptic number.

1133212120 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 1133212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351047600).

1133212120 is an abundant number, since it is smaller than the sum of its proper divisors (1568883080).

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

1133212120 is a wasteful number, since it uses less digits than its factorization.

1133212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23908 (or 23904 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1133212120 is about 33663.2161268052. The cubic root of 1133212120 is about 1042.5664302931.

Adding to 1133212120 its reverse (212123311), we get a palindrome (1345335431).

The spelling of 1133212120 in words is "one billion, one hundred thirty-three million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 4756 5945 9512 11890 23780 23827 47560 47654 95308 119135 190616 238270 476540 690983 953080 976907 1381966 1953814 2763932 3454915 3907628 4884535 5527864 6909830 7815256 9769070 13819660 19538140 27639320 28330303 39076280 56660606 113321212 141651515 226642424 283303030 566606060 1133212120