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1130033124 = 22321125111369
BaseRepresentation
bin100001101011010…
…1110111111100100
32220202100122000200
41003112232333210
54303242024444
6304044310500
740001060133
oct10326567744
92822318020
101130033124
1152a968680
12276542430
13150167a6c
14aa11991a
1569319969
hex435aefe4

1130033124 has 72 divisors (see below), whose sum is σ = 3128842080. Its totient is φ = 341040000.

The previous prime is 1130033123. The next prime is 1130033153. The reversal of 1130033124 is 4213300311.

1130033124 is a `hidden beast` number, since 11 + 300 + 331 + 24 = 666.

It is a super-2 number, since 2×11300331242 = 2553949722674398752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1130033097 and 1130033106.

It is not an unprimeable number, because it can be changed into a prime (1130033123) 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, 93712 + ... + 105080.

It is an arithmetic number, because the mean of its divisors is an integer number (43456140).

Almost surely, 21130033124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130033124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564421040).

1130033124 is an abundant number, since it is smaller than the sum of its proper divisors (1998808956).

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

1130033124 is a wasteful number, since it uses less digits than its factorization.

1130033124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11641 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1130033124 is about 33615.9653141182. The cubic root of 1130033124 is about 1041.5906145848.

Adding to 1130033124 its reverse (4213300311), we get a palindrome (5343333435).

The spelling of 1130033124 in words is "one billion, one hundred thirty million, thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 251 396 502 753 1004 1506 2259 2761 3012 4518 5522 8283 9036 11044 11369 16566 22738 24849 33132 34107 45476 49698 68214 99396 102321 125059 136428 204642 250118 375177 409284 500236 750354 1125531 1500708 2251062 2853619 4502124 5707238 8560857 11414476 17121714 25682571 31389809 34243428 51365142 62779618 94169427 102730284 125559236 188338854 282508281 376677708 565016562 1130033124