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10000212210 = 234520835927
BaseRepresentation
bin10010101000000111…
…10010000011110010
3221210221011102020000
421110003302003302
5130440023242320
64332151130430
7502546254432
oct112403620362
927727142200
1010000212210
11427194a49a
121b31073a16
13c34a62c41
146ac1ba2c2
153d7e00c90
hex2540f20f2

10000212210 has 80 divisors (see below), whose sum is σ = 26906907456. Its totient is φ = 2664993312.

The previous prime is 10000212193. The next prime is 10000212227. The reversal of 10000212210 is 1221200001.

It is an interprime number because it is at equal distance from previous prime (10000212193) and next prime (10000212227).

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 = 10000212192 and 10000212201.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1684267 + ... + 1690193.

Almost surely, 210000212210 is an apocalyptic number.

10000212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13453453728).

10000212210 is an abundant number, since it is smaller than the sum of its proper divisors (16906695246).

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

10000212210 is a wasteful number, since it uses less digits than its factorization.

10000212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8029 (or 8020 counting only the distinct ones).

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

Adding to 10000212210 its reverse (1221200001), we get a palindrome (11221412211).

The spelling of 10000212210 in words is "ten billion, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2083 4166 5927 6249 10415 11854 12498 17781 18747 20830 29635 31245 35562 37494 53343 56241 59270 62490 88905 93735 106686 112482 160029 168723 177810 187470 266715 281205 320058 337446 480087 533430 562410 800145 843615 960174 1600290 1687230 2400435 4800870 12345941 24691882 37037823 61729705 74075646 111113469 123459410 185189115 222226938 333340407 370378230 555567345 666680814 1000021221 1111134690 1666702035 2000042442 3333404070 5000106105 10000212210