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1021313002221 = 32238947500721
BaseRepresentation
bin11101101110010101111…
…11111010101011101101
310121122012001121010011200
432313022333322223231
5113213122112032341
62101103522040113
7133534042165521
oct16671277725355
93548161533150
101021313002221
11364155622a16
12145b2b7a9039
13754039b1665
1437608c75d81
151b8778dedb6
hexedcaffaaed

1021313002221 has 12 divisors (see below), whose sum is σ = 1475847432540. Its totient is φ = 680590316160.

The previous prime is 1021313002211. The next prime is 1021313002249. The reversal of 1021313002221 is 1222003131201.

1021313002221 is a `hidden beast` number, since 10 + 2 + 131 + 300 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 423652584996 + 597660417225 = 650886^2 + 773085^2 .

It is not a de Polignac number, because 1021313002221 - 25 = 1021313002189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1021313002194 and 1021313002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021313002211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23728860 + ... + 23771861.

It is an arithmetic number, because the mean of its divisors is an integer number (122987286045).

Almost surely, 21021313002221 is an apocalyptic number.

It is an amenable number.

1021313002221 is a deficient number, since it is larger than the sum of its proper divisors (454534430319).

1021313002221 is a wasteful number, since it uses less digits than its factorization.

1021313002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47503116 (or 47503113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1021313002221 its reverse (1222003131201), we get a palindrome (2243316133422).

The spelling of 1021313002221 in words is "one trillion, twenty-one billion, three hundred thirteen million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 2389 7167 21501 47500721 142502163 427506489 113479222469 340437667407 1021313002221