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133021005 = 35131740127
BaseRepresentation
bin1111110110110…
…11110101001101
3100021022011111220
413323123311031
5233023133010
621111033553
73203442225
oct773336515
9307264456
10133021005
11690a5717
123866b8b9
1321735870
1413949085
15ba28970
hex7edbd4d

133021005 has 32 divisors (see below), whose sum is σ = 242694144. Its totient is φ = 61633536.

The previous prime is 133020997. The next prime is 133021013. The reversal of 133021005 is 500120331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133020997) and next prime (133021013).

It is not a de Polignac number, because 133021005 - 23 = 133020997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16749 + ... + 23378.

It is an arithmetic number, because the mean of its divisors is an integer number (7584192).

Almost surely, 2133021005 is an apocalyptic number.

133021005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133021005 is a deficient number, since it is larger than the sum of its proper divisors (109673139).

133021005 is a wasteful number, since it uses less digits than its factorization.

133021005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40165.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 133021005 is about 11533.4732409626. The cubic root of 133021005 is about 510.4737428070.

Adding to 133021005 its reverse (500120331), we get a palindrome (633141336).

The spelling of 133021005 in words is "one hundred thirty-three million, twenty-one thousand, five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 3315 40127 120381 200635 521651 601905 682159 1564953 2046477 2608255 3410795 7824765 8868067 10232385 26604201 44340335 133021005