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102213321021 = 3271998152933
BaseRepresentation
bin101111100110001100…
…0111000000100111101
3100202211102101200220100
41133030120320010331
53133313102233041
6114542310111313
710245640615320
oct1371430700475
9322742350810
10102213321021
113a391833a29
121798704b539
13983c226456
144d38da87b7
1529d36d86b6
hex17cc63813d

102213321021 has 24 divisors (see below), whose sum is σ = 169581027200. Its totient is φ = 58114099296.

The previous prime is 102213321019. The next prime is 102213321037. The reversal of 102213321021 is 120123312201.

102213321021 is a `hidden beast` number, since 10 + 221 + 332 + 102 + 1 = 666.

It is not a de Polignac number, because 102213321021 - 21 = 102213321019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102213320985 and 102213321003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213361021) 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 23 ways as a sum of consecutive naturals, for example, 4063930 + ... + 4089003.

Almost surely, 2102213321021 is an apocalyptic number.

It is an amenable number.

102213321021 is a deficient number, since it is larger than the sum of its proper divisors (67367706179).

102213321021 is a wasteful number, since it uses less digits than its factorization.

102213321021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8153145 (or 8153142 counting only the distinct ones).

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

Adding to 102213321021 its reverse (120123312201), we get a palindrome (222336633222).

The spelling of 102213321021 in words is "one hundred two billion, two hundred thirteen million, three hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 63 199 597 1393 1791 4179 12537 8152933 24458799 57070531 73376397 171211593 513634779 1622433667 4867301001 11357035669 14601903003 34071107007 102213321021