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10213300131221 = 11284407439101
BaseRepresentation
bin1001010010011111100000…
…1000000101010110010101
31100011101022110001121102102
42110213320020011112111
52314313314313144341
633415531511051445
72102613045503135
oct224477010052625
940141273047372
1010213300131221
113288488733700
12118b4a5670b85
13591157a91b15
1427447d784ac5
1512aa10d51c9b
hex949f8205595

10213300131221 has 6 divisors (see below), whose sum is σ = 11226189400566. Its totient is φ = 9284818301000.

The previous prime is 10213300131137. The next prime is 10213300131277. The reversal of 10213300131221 is 12213100331201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5442072480625 + 4771227650596 = 2332825^2 + 2184314^2 .

It is a de Polignac number, because none of the positive numbers 2k-10213300131221 is a prime.

It is a super-2 number, since 2×102133001312212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10213300131193 and 10213300131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213300131421) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 42203719430 + ... + 42203719671.

It is an arithmetic number, because the mean of its divisors is an integer number (1871031566761).

Almost surely, 210213300131221 is an apocalyptic number.

10213300131221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10213300131221 is a deficient number, since it is larger than the sum of its proper divisors (1012889269345).

10213300131221 is an equidigital number, since it uses as much as digits as its factorization.

10213300131221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84407439123 (or 84407439112 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10213300131221 its reverse (12213100331201), we get a palindrome (22426400462422).

The spelling of 10213300131221 in words is "ten trillion, two hundred thirteen billion, three hundred million, one hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 11 121 84407439101 928481830111 10213300131221