Search a number
-
+
1230131300 = 22528921553
BaseRepresentation
bin100100101010010…
…0101000001100100
310011201201010220112
41021110211001210
510004403200200
6322021552152
742324641426
oct11124450144
93151633815
101230131300
11581416942
122a3b75658
13167b14158
14b9534816
1572edd535
hex49525064

1230131300 has 54 divisors (see below), whose sum is σ = 2701453398. Its totient is φ = 486210560.

The previous prime is 1230131299. The next prime is 1230131321. The reversal of 1230131300 is 31310321.

It can be written as a sum of positive squares in 9 ways, for example, as 973939264 + 256192036 = 31208^2 + 16006^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 791324 + ... + 792876.

Almost surely, 21230131300 is an apocalyptic number.

1230131300 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 1230131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350726699).

1230131300 is an abundant number, since it is smaller than the sum of its proper divisors (1471322098).

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

1230131300 is a wasteful number, since it uses less digits than its factorization.

1230131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1230131300 is about 35073.2276815237. The cubic root of 1230131300 is about 1071.4793930602.

Adding to 1230131300 its reverse (31310321), we get a palindrome (1261441621).

The spelling of 1230131300 in words is "one billion, two hundred thirty million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1553 1780 2225 3106 4450 6212 7765 7921 8900 15530 15842 31060 31684 38825 39605 77650 79210 138217 155300 158420 198025 276434 396050 552868 691085 792100 1382170 2764340 3455425 6910850 12301313 13821700 24602626 49205252 61506565 123013130 246026260 307532825 615065650 1230131300