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102302322213 = 3713463980779
BaseRepresentation
bin101111101000110110…
…0011000111000100101
3100210001121212102120210
41133101230120320211
53134003343302323
6114555205450033
710251101251110
oct1372154307045
9323047772523
10102302322213
113a427aa2933
12179b0a10919
1398547b8890
144d46b35577
1529db419293
hex17d1b18e25

102302322213 has 32 divisors (see below), whose sum is σ = 167919001600. Its totient is φ = 53949364416.

The previous prime is 102302322209. The next prime is 102302322229. The reversal of 102302322213 is 312223203201.

It is a happy number.

It is not a de Polignac number, because 102302322213 - 22 = 102302322209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 102302322213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102302322263) 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 31 ways as a sum of consecutive naturals, for example, 1226058 + ... + 1306836.

It is an arithmetic number, because the mean of its divisors is an integer number (5247468800).

Almost surely, 2102302322213 is an apocalyptic number.

102302322213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102302322213 is a deficient number, since it is larger than the sum of its proper divisors (65616679387).

102302322213 is a wasteful number, since it uses less digits than its factorization.

102302322213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85441.

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

Adding to 102302322213 its reverse (312223203201), we get a palindrome (414525525414).

The spelling of 102302322213 in words is "one hundred two billion, three hundred two million, three hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 7 13 21 39 91 273 4639 13917 32473 60307 80779 97419 180921 242337 422149 565453 1050127 1266447 1696359 3150381 7350889 22052667 374733781 1124201343 2623136467 4871539153 7869409401 14614617459 34100774071 102302322213