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1021021002221 = 113859989209
BaseRepresentation
bin11101101101110011001…
…10000001100111101101
310121121102201010222110212
432312321212001213231
5113212022334032341
62101014531312205
7133523565215543
oct16667146014755
93547381128425
101021021002221
11364015813000
12145a69a4b665
1375388354cac
14375bc185d93
151b85be615eb
hexedb99819ed

1021021002221 has 16 divisors (see below), whose sum is σ = 1123189584000. Its totient is φ = 928082564640.

The previous prime is 1021021002149. The next prime is 1021021002223. The reversal of 1021021002221 is 1222001201201.

It is not a de Polignac number, because 1021021002221 - 210 = 1021021001197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021021002196 and 1021021002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021021002223) 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 15 ways as a sum of consecutive naturals, for example, 11400665 + ... + 11489873.

It is an arithmetic number, because the mean of its divisors is an integer number (70199349000).

Almost surely, 21021021002221 is an apocalyptic number.

1021021002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1021021002221 is a deficient number, since it is larger than the sum of its proper divisors (102168581779).

1021021002221 is an frugal number, since it uses more digits than its factorization.

1021021002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97841 (or 97819 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1021021002221 its reverse (1222001201201), we get a palindrome (2243022203422).

The spelling of 1021021002221 in words is "one trillion, twenty-one billion, twenty-one million, two thousand, two hundred twenty-one".

Divisors: 1 11 121 1331 8599 89209 94589 981299 1040479 10794289 11445269 118737179 767108191 8438190101 92820091111 1021021002221