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2000022102 = 2321331293941
BaseRepresentation
bin111011100110101…
…1110101001010110
312011101101122112200
41313031132221112
513044001201402
6530243225330
7100363623141
oct16715365126
95141348480
102000022102
11936a62231
12479978246
1325b484440
1414d8a3058
15ba8b921c
hex7735ea56

2000022102 has 96 divisors (see below), whose sum is σ = 4838835456. Its totient is φ = 592876800.

The previous prime is 2000022097. The next prime is 2000022119. The reversal of 2000022102 is 2012200002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2124952 + ... + 2125892.

It is an arithmetic number, because the mean of its divisors is an integer number (50404536).

Almost surely, 22000022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419417728).

2000022102 is an abundant number, since it is smaller than the sum of its proper divisors (2838813354).

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

2000022102 is a wasteful number, since it uses less digits than its factorization.

2000022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2000022102 is about 44721.6066571853. The cubic root of 2000022102 is about 1259.9256910070.

Adding to 2000022102 its reverse (2012200002), we get a palindrome (4012222104).

The spelling of 2000022102 in words is "two billion, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 293 403 558 586 806 879 941 1209 1758 1882 2418 2637 2823 3627 3809 5274 5646 7254 7618 8469 9083 11427 12233 16938 18166 22854 24466 27249 29171 34281 36699 54498 58342 68562 73398 81747 87513 110097 118079 163494 175026 220194 236158 262539 275713 354237 379223 525078 551426 708474 758446 827139 1062711 1137669 1654278 2125422 2275338 2481417 3413007 3584269 4962834 6826014 7168538 8547103 10752807 17094206 21505614 25641309 32258421 51282618 64516842 76923927 111112339 153847854 222224678 333337017 666674034 1000011051 2000022102