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102222023313 = 33153121717041
BaseRepresentation
bin101111100110011101…
…0000100101010010001
3100202212000202211012110
41133030322010222101
53133322314221223
6114543220415533
710246104601404
oct1371472045221
9322760684173
10102222023313
113a396738103
1217989b475a9
139840c82437
144d3a1d1d3b
1529d4356d93
hex17cce84a91

102222023313 has 32 divisors (see below), whose sum is σ = 143473462272. Its totient is φ = 64648396800.

The previous prime is 102222023273. The next prime is 102222023317. The reversal of 102222023313 is 313320222201.

It is a happy number.

It is not a de Polignac number, because 102222023313 - 212 = 102222019217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102222023313.

It is not an unprimeable number, because it can be changed into a prime (102222023317) 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, 5990073 + ... + 6007113.

It is an arithmetic number, because the mean of its divisors is an integer number (4483545696).

Almost surely, 2102222023313 is an apocalyptic number.

It is an amenable number.

102222023313 is a deficient number, since it is larger than the sum of its proper divisors (41251438959).

102222023313 is a wasteful number, since it uses less digits than its factorization.

102222023313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18345.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102222023313 its reverse (313320222201), we get a palindrome (415542245514).

The spelling of 102222023313 in words is "one hundred two billion, two hundred twenty-two million, twenty-three thousand, three hundred thirteen".

Divisors: 1 3 31 53 93 159 1217 1643 3651 4929 17041 37727 51123 64501 113181 193503 528271 903173 1584813 1999531 2709519 5998593 20738897 27998363 62216691 83995089 642905807 1099161541 1928717421 3297484623 34074007771 102222023313