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21332120003001 = 327489962932869
BaseRepresentation
bin1001101100110110001010…
…11011110110000110111001
32210112022221010021011122200
410312123011123312012321
510244001140210044001
6113211501324540413
74331123551150023
oct466330533660671
983468833234580
1021332120003001
1168849a0683955
1224863839b1709
13bb97c1a459c2
1453a6a1627013
1526ed6da9e086
hex1366c56f61b9

21332120003001 has 24 divisors (see below), whose sum is σ = 30821314797000. Its totient is φ = 14217605056512.

The previous prime is 21332120002981. The next prime is 21332120003027. The reversal of 21332120003001 is 10030002123312.

21332120003001 is a `hidden beast` number, since 21 + 3 + 321 + 20 + 0 + 0 + 300 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10416265675776 + 10915854327225 = 3227424^2 + 3303915^2 .

It is not a de Polignac number, because 21332120003001 - 210 = 21332120001977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21332120003081) 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, 648987795 + ... + 649020663.

It is an arithmetic number, because the mean of its divisors is an integer number (1284221449875).

Almost surely, 221332120003001 is an apocalyptic number.

It is an amenable number.

21332120003001 is a deficient number, since it is larger than the sum of its proper divisors (9489194793999).

21332120003001 is a wasteful number, since it uses less digits than its factorization.

21332120003001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49993 (or 49990 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21332120003001 its reverse (10030002123312), we get a palindrome (31362122126313).

The spelling of 21332120003001 in words is "twenty-one trillion, three hundred thirty-two billion, one hundred twenty million, three thousand, one".

Divisors: 1 3 9 7489 9629 22467 28887 32869 67401 86661 98607 295821 72111581 216334743 246155941 316495601 649004229 738467823 949486803 2215403469 2848460409 2370235555889 7110706667667 21332120003001