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2102001210 = 2325174729231
BaseRepresentation
bin111110101001001…
…1111111000111010
312102111021201120200
41331102133320322
513301103014320
6544325103030
7103042500261
oct17522377072
95374251520
102102001210
11989585691
124a7b57a76
1327663b9ca
1415d24b5d8
15c4810290
hex7d49fe3a

2102001210 has 96 divisors (see below), whose sum is σ = 5910008832. Its totient is φ = 516318720.

The previous prime is 2102001203. The next prime is 2102001233. The reversal of 2102001210 is 121002012.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102001192 and 2102001201.

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, 57295 + ... + 86525.

It is an arithmetic number, because the mean of its divisors is an integer number (61562592).

Almost surely, 22102001210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955004416).

2102001210 is an abundant number, since it is smaller than the sum of its proper divisors (3808007622).

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

2102001210 is a wasteful number, since it uses less digits than its factorization.

2102001210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29308 (or 29305 counting only the distinct ones).

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

The square root of 2102001210 is about 45847.5867412888. The cubic root of 2102001210 is about 1280.9858148623.

Adding to 2102001210 its reverse (121002012), we get a palindrome (2223003222).

The spelling of 2102001210 in words is "two billion, one hundred two million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 47 51 85 90 94 102 141 153 170 235 255 282 306 423 470 510 705 765 799 846 1410 1530 1598 2115 2397 3995 4230 4794 7191 7990 11985 14382 23970 29231 35955 58462 71910 87693 146155 175386 263079 292310 438465 496927 526158 876930 993854 1315395 1373857 1490781 2484635 2630790 2747714 2981562 4121571 4472343 4969270 6869285 7453905 8243142 8944686 12364713 13738570 14907810 20607855 22361715 23355569 24729426 41215710 44723430 46711138 61823565 70066707 116777845 123647130 140133414 210200121 233555690 350333535 420400242 700667070 1051000605 2102001210