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133032000213 = 36726069371
BaseRepresentation
bin111101111100101010…
…0110011101011010101
3110201101020011211000000
41323321110303223111
54134422143001323
6141040345241513
712416441226060
oct1737124635325
9421336154000
10133032000213
1151467106832
1221948193299
13c7110b15b8
1466200418d7
1536d9128e43
hex1ef9533ad5

133032000213 has 28 divisors (see below), whose sum is σ = 227950588768. Its totient is φ = 76018282920.

The previous prime is 133032000203. The next prime is 133032000271. The reversal of 133032000213 is 312000230331.

133032000213 is a `hidden beast` number, since 1 + 330 + 320 + 0 + 0 + 2 + 13 = 666.

It is not a de Polignac number, because 133032000213 - 24 = 133032000197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133032000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13029583 + ... + 13039788.

It is an arithmetic number, because the mean of its divisors is an integer number (8141092456).

Almost surely, 2133032000213 is an apocalyptic number.

It is an amenable number.

133032000213 is a deficient number, since it is larger than the sum of its proper divisors (94918588555).

133032000213 is an frugal number, since it uses more digits than its factorization.

133032000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26069396 (or 26069381 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133032000213 its reverse (312000230331), we get a palindrome (445032230544).

The spelling of 133032000213 in words is "one hundred thirty-three billion, thirty-two million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 5103 26069371 78208113 182485597 234624339 547456791 703873017 1642370373 2111619051 4927111119 6334857153 14781333357 19004571459 44344000071 133032000213