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102211212222222 = 23174792041231643
BaseRepresentation
bin10111001111010111100110…
…111111110001111100001110
3111101220022000010012222010220
4113033113212333301330032
5101344112030312102342
61001215103242412210
730346342060000665
oct2717274677617416
9441808003188126
10102211212222222
112a627593727714
12b569274201066
13450562589a2ac
141b350988d7ddc
15bc3b352315ec
hex5cf5e6ff1f0e

102211212222222 has 64 divisors (see below), whose sum is σ = 221055890033664. Its totient is φ = 31383525288960.

The previous prime is 102211212222209. The next prime is 102211212222233. The reversal of 102211212222222 is 222222212112201.

It is a happy number.

It is a super-2 number, since 2×1022112122222222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102211212222192 and 102211212222201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441128733 + ... + 441360375.

It is an arithmetic number, because the mean of its divisors is an integer number (3453998281776).

Almost surely, 2102211212222222 is an apocalyptic number.

102211212222222 is an abundant number, since it is smaller than the sum of its proper divisors (118844677811442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102211212222222 is a wasteful number, since it uses less digits than its factorization.

102211212222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323753.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102211212222222 its reverse (222222212112201), we get a palindrome (324433424334423).

The spelling of 102211212222222 in words is "one hundred two trillion, two hundred eleven billion, two hundred twelve million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 17 34 47 51 94 102 141 282 799 1598 2397 4794 92041 184082 231643 276123 463286 552246 694929 1389858 1564697 3129394 3937931 4325927 4694091 7875862 8651854 9388182 10887221 11813793 12977781 21774442 23627586 25955562 32661663 65323326 73540759 147081518 185082757 220622277 370165514 441244554 555248271 1110496542 21320653363 42641306726 63961960089 127923920178 362451107171 724902214342 1002070708061 1087353321513 2004141416122 2174706643026 3006212124183 6012424248366 17035202037037 34070404074074 51105606111111 102211212222222