Search a number
-
+
132034025332305 = 32516897671736387
BaseRepresentation
bin11110000001010110010001…
…001011011001111001010001
3122022111022220020112002221200
4132001112101023121321101
5114301221140441113210
61144451332135541413
736545100142600215
oct3601262113317121
9568438806462850
10132034025332305
11390853521a8858
12129850b3b2a869
1358899a8132585
1424866a3922945
15103e79477b0c0
hex7815912d9e51

132034025332305 has 24 divisors (see below), whose sum is σ = 228859244482752. Its totient is φ = 70418064616224.

The previous prime is 132034025332301. The next prime is 132034025332309. The reversal of 132034025332305 is 503233520430231.

132034025332305 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 340 + 2 + 5 + 3 + 3 + 2 + 305 = 666.

It is an interprime number because it is at equal distance from previous prime (132034025332301) and next prime (132034025332309).

It is not a de Polignac number, because 132034025332305 - 22 = 132034025332301 is a prime.

It is a super-2 number, since 2×1320340253323052 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132034025332305.

It is not an unprimeable number, because it can be changed into a prime (132034025332301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75171322 + ... + 76907708.

It is an arithmetic number, because the mean of its divisors is an integer number (9535801853448).

Almost surely, 2132034025332305 is an apocalyptic number.

132034025332305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132034025332305 is a deficient number, since it is larger than the sum of its proper divisors (96825219150447).

132034025332305 is a wasteful number, since it uses less digits than its factorization.

132034025332305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426165 (or 3426162 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 132034025332305 its reverse (503233520430231), we get a palindrome (635267545762536).

The spelling of 132034025332305 in words is "one hundred thirty-two trillion, thirty-four billion, twenty-five million, three hundred thirty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 45 1689767 1736387 5069301 5209161 8448835 8681935 15207903 15627483 25346505 26045805 76039515 78137415 2934089451829 8802268355487 14670447259145 26406805066461 44011341777435 132034025332305