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1301141325 = 3521117113821
BaseRepresentation
bin100110110001101…
…1101011101001101
310100200022211100110
41031203131131031
510131043010300
6333035550233
744146342641
oct11543353515
93320284313
101301141325
11608507810
123038bb379
13179747613
14c4b3ac21
1579368550
hex4d8dd74d

1301141325 has 96 divisors (see below), whose sum is σ = 2509875072. Its totient is φ = 587776000.

The previous prime is 1301141267. The next prime is 1301141327. The reversal of 1301141325 is 5231411031.

It is not a de Polignac number, because 1301141325 - 213 = 1301133133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301141327) 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, 1584415 + ... + 1585235.

It is an arithmetic number, because the mean of its divisors is an integer number (26144532).

Almost surely, 21301141325 is an apocalyptic number.

1301141325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1301141325 is a deficient number, since it is larger than the sum of its proper divisors (1208733747).

1301141325 is a wasteful number, since it uses less digits than its factorization.

1301141325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1301141325 is about 36071.3366123297. The cubic root of 1301141325 is about 1091.7121829658.

Adding to 1301141325 its reverse (5231411031), we get a palindrome (6532552356).

The spelling of 1301141325 in words is "one billion, three hundred one million, one hundred forty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 113 165 187 255 275 339 425 561 565 821 825 935 1243 1275 1695 1921 2463 2805 2825 3729 4105 4675 5763 6215 8475 9031 9605 12315 13957 14025 18645 20525 21131 27093 28815 31075 41871 45155 48025 61575 63393 69785 92773 93225 105655 135465 144075 153527 209355 225775 278319 316965 348925 460581 463865 528275 677325 767635 1020503 1046775 1391595 1577141 1584825 2302905 2319325 3061509 3838175 4731423 5102515 6957975 7885705 11514525 15307545 17348551 23657115 25512575 39428525 52045653 76537725 86742755 118285575 260228265 433713775 1301141325