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2101200102 = 23517263967
BaseRepresentation
bin111110100111101…
…1100010011100110
312102102210000200000
41331033130103212
513300401400402
6544300002130
7103032622551
oct17517342346
95372700600
102101200102
11989088811
124a7830346
1327641b191
1415d0bd698
15c4702c1c
hex7d3dc4e6

2101200102 has 96 divisors (see below), whose sum is σ = 5023130112. Its totient is φ = 656014464.

The previous prime is 2101200097. The next prime is 2101200137. The reversal of 2101200102 is 2010021012.

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, 2172423 + ... + 2173389.

It is an arithmetic number, because the mean of its divisors is an integer number (52324272).

Almost surely, 22101200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511565056).

2101200102 is an abundant number, since it is smaller than the sum of its proper divisors (2921930010).

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

2101200102 is a wasteful number, since it uses less digits than its factorization.

2101200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2101200102 is about 45838.8492656611. The cubic root of 2101200102 is about 1280.8230591076.

Adding to 2101200102 its reverse (2010021012), we get a palindrome (4111221114).

The spelling of 2101200102 in words is "two billion, one hundred one million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 263 306 459 486 526 789 918 967 1377 1578 1934 2367 2754 2901 4131 4471 4734 5802 7101 8262 8703 8942 13413 14202 16439 17406 21303 26109 26826 32878 40239 42606 49317 52218 63909 78327 80478 98634 120717 127818 147951 156654 234981 241434 254321 295902 362151 443853 469962 508642 724302 762963 887706 1086453 1331559 1525926 2172906 2288889 2663118 3994677 4323457 4577778 6866667 7989354 8646914 12970371 13733334 20600001 25940742 38911113 41200002 61800003 77822226 116733339 123600006 233466678 350200017 700400034 1050600051 2101200102