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1210000212 = 223289377653
BaseRepresentation
bin100100000011111…
…0010001101010100
310010022211101020200
41020013302031110
54434230001322
6320022300500
741661555261
oct11007621524
93108741220
101210000212
11571017083
12299287730
131638b6175
14b69b4268
15713638ac
hex481f2354

1210000212 has 36 divisors (see below), whose sum is σ = 3092986260. Its totient is φ = 398800512.

The previous prime is 1210000189. The next prime is 1210000219. The reversal of 1210000212 is 2120000121.

It can be written as a sum of positive squares in 2 ways, for example, as 286083396 + 923916816 = 16914^2 + 30396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1210000194 and 1210000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210000219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185623 + ... + 192030.

It is an arithmetic number, because the mean of its divisors is an integer number (85916285).

Almost surely, 21210000212 is an apocalyptic number.

1210000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1210000212 is an abundant number, since it is smaller than the sum of its proper divisors (1882986048).

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

1210000212 is a wasteful number, since it uses less digits than its factorization.

1210000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377752 (or 377747 counting only the distinct ones).

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

The square root of 1210000212 is about 34785.0573091378. The cubic root of 1210000212 is about 1065.6022990001.

Adding to 1210000212 its reverse (2120000121), we get a palindrome (3330000333).

Subtracting 1210000212 from its reverse (2120000121), we obtain a palindrome (909999909).

The spelling of 1210000212 in words is "one billion, two hundred ten million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 377653 755306 1132959 1510612 2265918 3398877 4531836 6797754 13595508 33611117 67222234 100833351 134444468 201666702 302500053 403333404 605000106 1210000212