Search a number
-
+
1330100130 = 235195939551
BaseRepresentation
bin100111101000111…
…1011011110100010
310102200211002100210
41033101323132202
510211001201010
6335552354550
744650443642
oct11721733642
93380732323
101330100130
11622896a07
12311545a56
131827466c8
14c8918522
157bb88b20
hex4f47b7a2

1330100130 has 64 divisors (see below), whose sum is σ = 3417292800. Its totient is φ = 330321600.

The previous prime is 1330100063. The next prime is 1330100131. The reversal of 1330100130 is 310010331.

It is not an unprimeable number, because it can be changed into a prime (1330100131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13855 + ... + 53405.

It is an arithmetic number, because the mean of its divisors is an integer number (53395200).

Almost surely, 21330100130 is an apocalyptic number.

1330100130 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 1330100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708646400).

1330100130 is an abundant number, since it is smaller than the sum of its proper divisors (2087192670).

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

1330100130 is a wasteful number, since it uses less digits than its factorization.

1330100130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39639.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1330100130 is about 36470.5378353542. The cubic root of 1330100130 is about 1099.7520460406.

Adding to 1330100130 its reverse (310010331), we get a palindrome (1640110461).

The spelling of 1330100130 in words is "one billion, three hundred thirty million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 59 95 114 118 177 190 285 295 354 570 590 885 1121 1770 2242 3363 5605 6726 11210 16815 33630 39551 79102 118653 197755 237306 395510 593265 751469 1186530 1502938 2254407 2333509 3757345 4508814 4667018 7000527 7514690 11272035 11667545 14001054 22544070 23335090 35002635 44336671 70005270 88673342 133010013 221683355 266020026 443366710 665050065 1330100130