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1300134330 = 23251117671153
BaseRepresentation
bin100110101111110…
…0111100110111010
310100121102200000100
41031133213212322
510130313244310
6333002220230
744134650045
oct11537474672
93317380010
101300134330
1160798a190
123034b4676
13179484171
14c4957c5c
1579219ec0
hex4d7e79ba

1300134330 has 192 divisors, whose sum is σ = 3966288768. Its totient is φ = 291962880.

The previous prime is 1300134323. The next prime is 1300134331. The reversal of 1300134330 is 334310031.

1300134330 is a `hidden beast` number, since 1 + 300 + 1 + 34 + 330 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1300134331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1127034 + ... + 1128186.

It is an arithmetic number, because the mean of its divisors is an integer number (20657754).

Almost surely, 21300134330 is an apocalyptic number.

1300134330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300134330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983144384).

1300134330 is an abundant number, since it is smaller than the sum of its proper divisors (2666154438).

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

1300134330 is a wasteful number, since it uses less digits than its factorization.

1300134330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1300134330 is about 36057.3755284546. The cubic root of 1300134330 is about 1091.4304732551.

Adding to 1300134330 its reverse (334310031), we get a palindrome (1634444361).

The spelling of 1300134330 in words is "one billion, three hundred million, one hundred thirty-four thousand, three hundred thirty".