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102210220209 = 3233257568963
BaseRepresentation
bin101111100110000110…
…1000011000010110001
3100202211012120011101110
41133030031003002301
53133311304021314
6114542115423533
710245602352126
oct1371415030261
9322735504343
10102210220209
113a390006279
1217985bb4ba9
13983b6abc56
144d387dc74d
1529d32c4a59
hex17cc3430b1

102210220209 has 16 divisors (see below), whose sum is σ = 137397978432. Its totient is φ = 67583582208.

The previous prime is 102210220183. The next prime is 102210220223. The reversal of 102210220209 is 902022012201.

It is a happy number.

It is not a de Polignac number, because 102210220209 - 28 = 102210219953 is a prime.

It is a super-3 number, since 3×1022102202093 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102210220009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104839 + ... + 464124.

It is an arithmetic number, because the mean of its divisors is an integer number (8587373652).

Almost surely, 2102210220209 is an apocalyptic number.

It is an amenable number.

102210220209 is a deficient number, since it is larger than the sum of its proper divisors (35187758223).

102210220209 is a wasteful number, since it uses less digits than its factorization.

102210220209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569456.

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 102210220209 in words is "one hundred two billion, two hundred ten million, two hundred twenty thousand, two hundred nine".

Divisors: 1 3 233 257 699 771 59881 179643 568963 1706889 132568379 146223491 397705137 438670473 34070073403 102210220209