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21322211220113 = 137918116952029
BaseRepresentation
bin1001101100100011101101…
…10100110101101010010001
32210111101100120010211212212
410312101312310311222101
510243320342033020423
6113203142201201505
74330323161660126
oct466216664655221
983441316124785
1021322211220113
116880776401691
122484479490295
13bb88a2c1546b
1453a00164a74d
1526e98dc0d578
hex136476d35a91

21322211220113 has 8 divisors (see below), whose sum is σ = 21480188445480. Its totient is φ = 21164267917440.

The previous prime is 21322211220067. The next prime is 21322211220137. The reversal of 21322211220113 is 31102211222312.

It can be written as a sum of positive squares in 4 ways, for example, as 1904642887744 + 19417568332369 = 1380088^2 + 4406537^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21322211220113 is a prime.

It is a super-2 number, since 2×213222112201132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21322211220613) 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 7 ways as a sum of consecutive naturals, for example, 7218218 + ... + 9733811.

It is an arithmetic number, because the mean of its divisors is an integer number (2685023555685).

Almost surely, 221322211220113 is an apocalyptic number.

It is an amenable number.

21322211220113 is a deficient number, since it is larger than the sum of its proper divisors (157977225367).

21322211220113 is a wasteful number, since it uses less digits than its factorization.

21322211220113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16961347.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 21322211220113 its reverse (31102211222312), we get a palindrome (52424422442425).

The spelling of 21322211220113 in words is "twenty-one trillion, three hundred twenty-two billion, two hundred eleven million, two hundred twenty thousand, one hundred thirteen".

Divisors: 1 137 9181 1257797 16952029 2322427973 155636578249 21322211220113