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1125300020 = 2251325772
BaseRepresentation
bin100001100010010…
…1011011100110100
32220102110011102112
41003010223130310
54301034100040
6303355030152
736612615035
oct10304533464
92812404375
101125300020
11528225619
12274a3b358
1314c19b600
14a9646a8c
1568bd2365
hex4312b734

1125300020 has 54 divisors (see below), whose sum is σ = 2563334802. Its totient is φ = 414775296.

The previous prime is 1125299999. The next prime is 1125300101. The reversal of 1125300020 is 200035211.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 25847056 + 1099452964 = 5084^2 + 33158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1125299968 and 1125300004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1949972 + ... + 1950548.

It is an arithmetic number, because the mean of its divisors is an integer number (47469163).

Almost surely, 21125300020 is an apocalyptic number.

1125300020 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 1125300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281667401).

1125300020 is an abundant number, since it is smaller than the sum of its proper divisors (1438034782).

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

1125300020 is an equidigital number, since it uses as much as digits as its factorization.

1125300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1125300020 is about 33545.4917984518. The cubic root of 1125300020 is about 1040.1343576416.

Adding to 1125300020 its reverse (200035211), we get a palindrome (1325335231).

The spelling of 1125300020 in words is "one billion, one hundred twenty-five million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 577 676 845 1154 1690 2308 2885 3380 5770 7501 11540 15002 30004 37505 75010 97513 150020 195026 332929 390052 487565 665858 975130 1331716 1664645 1950260 3329290 4328077 6658580 8656154 17312308 21640385 43280770 56265001 86561540 112530002 225060004 281325005 562650010 1125300020