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133505001 = 32719111533
BaseRepresentation
bin1111111010100…
…01111111101001
3100022012202102200
413331101333221
5233134130001
621125250413
73210526260
oct775217751
9308182380
10133505001
11693a6313
1238863a09
1321874c56
1413a335d7
15bac2086
hex7f51fe9

133505001 has 24 divisors (see below), whose sum is σ = 231990720. Its totient is φ = 72272736.

The previous prime is 133504999. The next prime is 133505011. The reversal of 133505001 is 100505331.

It is a happy number.

It is not a de Polignac number, because 133505001 - 21 = 133504999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133505011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54570 + ... + 56963.

It is an arithmetic number, because the mean of its divisors is an integer number (9666280).

Almost surely, 2133505001 is an apocalyptic number.

It is an amenable number.

133505001 is a deficient number, since it is larger than the sum of its proper divisors (98485719).

133505001 is a wasteful number, since it uses less digits than its factorization.

133505001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111565 (or 111562 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 133505001 is about 11554.4364207001. The cubic root of 133505001 is about 511.0921118209.

The spelling of 133505001 in words is "one hundred thirty-three million, five hundred five thousand, one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 111533 334599 780731 1003797 2119127 2342193 6357381 7026579 14833889 19072143 44501667 133505001