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1132012120 = 235317731181
BaseRepresentation
bin100001101111001…
…0010001001011000
32220220002011200211
41003132102021120
54304243341440
6304154540504
740023641611
oct10336221130
92826064624
101132012120
11530a9a508
12277137734
131506ab775
14aa4b2c08
15695aaeea
hex43792258

1132012120 has 64 divisors (see below), whose sum is σ = 2634819840. Its totient is φ = 437260800.

The previous prime is 1132012103. The next prime is 1132012159. The reversal of 1132012120 is 212102311.

It is a self number, because there is not a number n which added to its sum of digits gives 1132012120.

It is a congruent number.

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, 957930 + ... + 959110.

It is an arithmetic number, because the mean of its divisors is an integer number (41169060).

Almost surely, 21132012120 is an apocalyptic number.

1132012120 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 1132012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317409920).

1132012120 is an abundant number, since it is smaller than the sum of its proper divisors (1502807720).

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

1132012120 is a wasteful number, since it uses less digits than its factorization.

1132012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1132012120 is about 33645.3877968437. The cubic root of 1132012120 is about 1042.1982963374.

Adding to 1132012120 its reverse (212102311), we get a palindrome (1344114431).

The spelling of 1132012120 in words is "one billion, one hundred thirty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 773 1181 1240 1546 2362 3092 3865 4724 5905 6184 7730 9448 11810 15460 23620 23963 30920 36611 47240 47926 73222 95852 119815 146444 183055 191704 239630 292888 366110 479260 732220 912913 958520 1464440 1825826 3651652 4564565 7303304 9129130 18258260 28300303 36516520 56600606 113201212 141501515 226402424 283003030 566006060 1132012120