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1125120300 = 2235225714593
BaseRepresentation
bin100001100001111…
…1111100100101100
32220102010000220020
41003003333210230
54301012322200
6303351122140
736611236053
oct10303774454
92812100806
101125120300
11528112597
12274973350
1314c137875
14a95db39a
1568b98ea0
hex430ff92c

1125120300 has 72 divisors (see below), whose sum is σ = 3268238736. Its totient is φ = 298844160.

The previous prime is 1125120287. The next prime is 1125120317. The reversal of 1125120300 is 30215211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1125120300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69804 + ... + 84396.

Almost surely, 21125120300 is an apocalyptic number.

1125120300 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 1125120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634119368).

1125120300 is an abundant number, since it is smaller than the sum of its proper divisors (2143118436).

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

1125120300 is a wasteful number, since it uses less digits than its factorization.

1125120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14867 (or 14860 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1125120300 is about 33542.8129410758. The cubic root of 1125120300 is about 1040.0789819208.

Adding to 1125120300 its reverse (30215211), we get a palindrome (1155335511).

The spelling of 1125120300 in words is "one billion, one hundred twenty-five million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 257 300 514 771 1028 1285 1542 2570 3084 3855 5140 6425 7710 12850 14593 15420 19275 25700 29186 38550 43779 58372 72965 77100 87558 145930 175116 218895 291860 364825 437790 729650 875580 1094475 1459300 2188950 3750401 4377900 7500802 11251203 15001604 18752005 22502406 37504010 45004812 56256015 75008020 93760025 112512030 187520050 225024060 281280075 375040100 562560150 1125120300