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2102421006 = 232767337739
BaseRepresentation
bin111110101010000…
…0110011000001110
312102112002001102200
41331110012120032
513301204433011
6544342102330
7103046166210
oct17524063016
95375061380
102102421006
11989842024
124a811a9a6
13276757aca
1415d31a5b0
15c4894856
hex7d50660e

2102421006 has 96 divisors (see below), whose sum is σ = 5306545920. Its totient is φ = 589171968.

The previous prime is 2102420987. The next prime is 2102421011. The reversal of 2102421006 is 6001242012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2102421006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2844585 + ... + 2845323.

It is an arithmetic number, because the mean of its divisors is an integer number (55276520).

Almost surely, 22102421006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102421006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653272960).

2102421006 is an abundant number, since it is smaller than the sum of its proper divisors (3204124914).

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

2102421006 is a wasteful number, since it uses less digits than its factorization.

2102421006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2102421006 is about 45852.1646817247. The cubic root of 2102421006 is about 1281.0710854961.

Adding to 2102421006 its reverse (6001242012), we get a palindrome (8103663018).

The spelling of 2102421006 in words is "two billion, one hundred two million, four hundred twenty-one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 337 402 469 603 674 739 938 1011 1206 1407 1478 2022 2217 2359 2814 3033 4221 4434 4718 5173 6066 6651 7077 8442 10346 13302 14154 15519 21231 22579 31038 42462 45158 46557 49513 67737 93114 99026 135474 148539 158053 203211 249043 297078 316106 346591 406422 445617 474159 498086 693182 747129 891234 948318 1039773 1422477 1494258 1743301 2079546 2241387 2844954 3119319 3486602 4482774 5229903 6238638 10459806 15689709 16685881 31379418 33371762 50057643 100115286 116801167 150172929 233602334 300345858 350403501 700807002 1051210503 2102421006