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102222222011 = 7132174322749
BaseRepresentation
bin101111100110011101…
…0110101001010111011
3100202212001010220202122
41133030322311022323
53133322342101021
6114543224551455
710246106356610
oct1371472651273
9322761126678
10102222222011
113a396863418
121798a02258b
139841021a00
144d3a244507
1529d4395bab
hex17cceb52bb

102222222011 has 72 divisors (see below), whose sum is σ = 137181924000. Its totient is φ = 74324210688.

The previous prime is 102222221989. The next prime is 102222222017. The reversal of 102222222011 is 110222222201.

It is a happy number.

It is not a de Polignac number, because 102222222011 - 210 = 102222220987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102222222017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37183865 + ... + 37186613.

It is an arithmetic number, because the mean of its divisors is an integer number (1905304500).

Almost surely, 2102222222011 is an apocalyptic number.

102222222011 is a deficient number, since it is larger than the sum of its proper divisors (34959701989).

102222222011 is a wasteful number, since it uses less digits than its factorization.

102222222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102222222011 its reverse (110222222201), we get a palindrome (212444444212).

The spelling of 102222222011 in words is "one hundred two billion, two hundred twenty-two million, two hundred twenty-two thousand, eleven".

Divisors: 1 7 13 17 43 91 119 169 221 301 559 731 1183 1547 1849 2749 2873 3913 5117 7267 9503 12943 19243 20111 24037 31433 35737 46733 50869 66521 118207 123539 168259 220031 250159 312481 327131 408629 464581 607529 827449 864773 1536691 2009519 2187367 2860403 3252067 4252703 5082901 5312177 7897877 10756837 14066633 19976983 26123747 35580307 37185239 55285139 66077713 86409317 139838881 182866229 339608711 462543991 604865219 859010269 1123321121 2377260977 6013071883 7863247847 14603174573 102222222011