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1305225135 = 32537221187
BaseRepresentation
bin100110111001100…
…0010011110101111
310100222000022021200
41031303002132233
510133114201020
6333303300543
744226142044
oct11563023657
93328008250
101305225135
1160a846a65
1230514a753
1317a547386
14c54c11cb
15798c3590
hex4dcc27af

1305225135 has 36 divisors (see below), whose sum is σ = 2325298248. Its totient is φ = 677274048.

The previous prime is 1305225059. The next prime is 1305225157. The reversal of 1305225135 is 5315225031.

It is a happy number.

1305225135 is a `hidden beast` number, since 1 + 3 + 0 + 522 + 5 + 135 = 666.

It is not a de Polignac number, because 1305225135 - 215 = 1305192367 is a prime.

It is a super-2 number, since 2×13052251352 = 3407225306071536450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1305225099 and 1305225108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51012 + ... + 72198.

It is an arithmetic number, because the mean of its divisors is an integer number (64591618).

Almost surely, 21305225135 is an apocalyptic number.

1305225135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1305225135 is a deficient number, since it is larger than the sum of its proper divisors (1020073113).

1305225135 is a wasteful number, since it uses less digits than its factorization.

1305225135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21272 (or 21232 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1305225135 is about 36127.8996760122. The cubic root of 1305225135 is about 1092.8531527655.

The spelling of 1305225135 in words is "one billion, three hundred five million, two hundred twenty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1369 1665 4107 6845 12321 20535 21187 61605 63561 105935 190683 317805 783919 953415 2351757 3919595 7055271 11758785 29005003 35276355 87015009 145025015 261045027 435075045 1305225135