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102210023223 = 32711211699001
BaseRepresentation
bin101111100110000110…
…0010010111100110111
3100202211012012011011200
41133030030102330313
53133311231220343
6114542111303543
710245600601620
oct1371414227467
9322735164150
10102210023223
113a38a991280
1217985b1abb3
13983b6403a9
144d3878aa47
1529d32864d3
hex17cc312f37

102210023223 has 48 divisors (see below), whose sum is σ = 184939153152. Its totient is φ = 52844400000.

The previous prime is 102210023197. The next prime is 102210023243. The reversal of 102210023223 is 322320012201.

It is not a de Polignac number, because 102210023223 - 214 = 102210006839 is a prime.

It is a super-3 number, since 3×1022100232233 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210023196 and 102210023205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210023243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203278 + ... + 495723.

It is an arithmetic number, because the mean of its divisors is an integer number (3852899024).

Almost surely, 2102210023223 is an apocalyptic number.

102210023223 is a deficient number, since it is larger than the sum of its proper divisors (82729129929).

102210023223 is a wasteful number, since it uses less digits than its factorization.

102210023223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699236 (or 699233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102210023223 its reverse (322320012201), we get a palindrome (424530035424).

The spelling of 102210023223 in words is "one hundred two billion, two hundred ten million, twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 211 231 633 693 1477 1899 2321 4431 6963 13293 16247 20889 48741 146223 699001 2097003 4893007 6291009 7689011 14679021 23067033 44037063 53823077 69201099 147489211 161469231 442467633 484407693 1032424477 1327402899 1622381321 3097273431 4867143963 9291820293 11356669247 14601431889 34070007741 102210023223