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210012000210 = 23354753312253
BaseRepresentation
bin1100001110010110110…
…0001100111111010010
3202002002002121222211000
43003211230030333102
511420101033001320
6240251142002430
721113202355665
oct3034554147722
9662062558730
10210012000210
118107a332141
1234850716416
1316a5b64b75c
14a243a896dc
1556e2402c90
hex30e5b0cfd2

210012000210 has 128 divisors (see below), whose sum is σ = 582740904960. Its totient is φ = 53777288448.

The previous prime is 210012000137. The next prime is 210012000221. The reversal of 210012000210 is 12000210012.

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

It is a junction number, because it is equal to n+sod(n) for n = 210012000192 and 210012000201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516444 + ... + 828696.

It is an arithmetic number, because the mean of its divisors is an integer number (4552663320).

Almost surely, 2210012000210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210012000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291370452480).

210012000210 is an abundant number, since it is smaller than the sum of its proper divisors (372728904750).

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

210012000210 is a wasteful number, since it uses less digits than its factorization.

210012000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312369 (or 312363 counting only the distinct ones).

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

Adding to 210012000210 its reverse (12000210012), we get a palindrome (222012210222).

The spelling of 210012000210 in words is "two hundred ten billion, twelve million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 53 54 90 94 106 135 141 159 235 265 270 282 318 423 470 477 530 705 795 846 954 1269 1410 1431 1590 2115 2385 2491 2538 2862 4230 4770 4982 6345 7155 7473 12455 12690 14310 14946 22419 24910 37365 44838 67257 74730 112095 134514 224190 312253 336285 624506 672570 936759 1561265 1873518 2810277 3122530 4683795 5620554 8430831 9367590 14051385 14675891 16549409 16861662 28102770 29351782 33098818 42154155 44027673 49648227 73379455 82747045 84308310 88055346 99296454 132083019 146758910 148944681 165494090 220138365 248241135 264166038 297889362 396249057 440276730 446834043 496482270 660415095 744723405 777822223 792498114 893668086 1320830190 1489446810 1555644446 1981245285 2234170215 2333466669 3889111115 3962490570 4468340430 4666933338 7000400007 7778222230 11667333345 14000800014 21001200021 23334666690 35002000035 42002400042 70004000070 105006000105 210012000210