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1304114130 = 2325116719661
BaseRepresentation
bin100110110111011…
…0011001111010010
310100212220212021100
41031232303033102
510132323123010
6333223405230
744213534004
oct11556631722
93325825240
101304114130
1160a158280
123048b3816
1317a248787
14c52b2374
15797542c0
hex4dbb33d2

1304114130 has 96 divisors (see below), whose sum is σ = 3754340928. Its totient is φ = 311414400.

The previous prime is 1304114089. The next prime is 1304114143. The reversal of 1304114130 is 314114031.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56500 + ... + 76160.

It is an arithmetic number, because the mean of its divisors is an integer number (39107718).

Almost surely, 21304114130 is an apocalyptic number.

1304114130 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 1304114130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877170464).

1304114130 is an abundant number, since it is smaller than the sum of its proper divisors (2450226798).

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

1304114130 is a wasteful number, since it uses less digits than its factorization.

1304114130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19752 (or 19749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1304114130 is about 36112.5204049787. The cubic root of 1304114130 is about 1092.5429866121.

Adding to 1304114130 its reverse (314114031), we get a palindrome (1618228161).

Subtracting from 1304114130 its reverse (314114031), we obtain a palindrome (990000099).

The spelling of 1304114130 in words is "one billion, three hundred four million, one hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 67 90 99 110 134 165 198 201 330 335 402 495 603 670 737 990 1005 1206 1474 2010 2211 3015 3685 4422 6030 6633 7370 11055 13266 19661 22110 33165 39322 58983 66330 98305 117966 176949 196610 216271 294915 353898 432542 589830 648813 884745 1081355 1297626 1317287 1769490 1946439 2162710 2634574 3244065 3892878 3951861 6488130 6586435 7903722 9732195 11855583 13172870 14490157 19464390 19759305 23711166 28980314 39518610 43470471 59277915 72450785 86940942 118555830 130411413 144901570 217352355 260822826 434704710 652057065 1304114130