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133032321441 = 32172929982493
BaseRepresentation
bin111101111100101011…
…0000010000110100001
3110201101020210010122100
41323321112002012201
54134422233241231
6141040400201013
712416444034435
oct1737126020641
9421336703570
10133032321441
1151467306108
1221948309169
13c711194886
1466200c69c5
1536d918e1e6
hex1ef95821a1

133032321441 has 24 divisors (see below), whose sum is σ = 210477107880. Its totient is φ = 80592938496.

The previous prime is 133032321437. The next prime is 133032321449. The reversal of 133032321441 is 144123230331.

It is a happy number.

133032321441 is a `hidden beast` number, since 1 + 330 + 3 + 2 + 321 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41463140625 + 91569180816 = 203625^2 + 302604^2 .

It is not a de Polignac number, because 133032321441 - 22 = 133032321437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133032321449) 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, 14986810 + ... + 14995683.

It is an arithmetic number, because the mean of its divisors is an integer number (8769879495).

Almost surely, 2133032321441 is an apocalyptic number.

It is an amenable number.

133032321441 is a deficient number, since it is larger than the sum of its proper divisors (77444786439).

133032321441 is a wasteful number, since it uses less digits than its factorization.

133032321441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29982545 (or 29982542 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133032321441 its reverse (144123230331), we get a palindrome (277155551772).

The spelling of 133032321441 in words is "one hundred thirty-three billion, thirty-two million, three hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 29982493 89947479 269842437 509702381 869492297 1529107143 2608476891 4587321429 7825430673 14781369049 44344107147 133032321441