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102221112009 = 3374397220789
BaseRepresentation
bin101111100110011011…
…0100110001011001001
3100202211222001112010110
41133030312212023021
53133322101041014
6114543145104533
710246064054502
oct1371466461311
9322758045113
10102221112009
113a396175465
1217989788149
139840a236c3
144d3a035ba9
1529d4226d59
hex17ccda62c9

102221112009 has 32 divisors (see below), whose sum is σ = 144711064960. Its totient is φ = 64095639552.

The previous prime is 102221112001. The next prime is 102221112017. The reversal of 102221112009 is 900211122201.

It is an interprime number because it is at equal distance from previous prime (102221112001) and next prime (102221112017).

It is not a de Polignac number, because 102221112009 - 23 = 102221112001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352587 + ... + 573375.

It is an arithmetic number, because the mean of its divisors is an integer number (4522220780).

Almost surely, 2102221112009 is an apocalyptic number.

It is an amenable number.

102221112009 is a deficient number, since it is larger than the sum of its proper divisors (42489952951).

102221112009 is a wasteful number, since it uses less digits than its factorization.

102221112009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220969.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 102221112009 in words is "one hundred two billion, two hundred twenty-one million, one hundred twelve thousand, nine".

Divisors: 1 3 37 43 97 111 129 291 1591 3589 4171 4773 10767 12513 154327 220789 462981 662367 8169193 9493927 21416533 24507579 28481781 64249599 351275299 792411721 920910919 1053825897 2377235163 2762732757 34073704003 102221112009