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12211010210 = 257226992641
BaseRepresentation
bin10110101111101010…
…10011101010100010
31011112000011120221102
423113311103222202
5200002004311320
65335404154402
7611412605600
oct132765235242
934460146842
1012211010210
1151a6884783
122449538a02
1311c7aa5439
1483ba68870
154b7052175
hex2d7d53aa2

12211010210 has 48 divisors (see below), whose sum is σ = 25663686840. Its totient is φ = 4171023360.

The previous prime is 12211010179. The next prime is 12211010221. The reversal of 12211010210 is 1201011221.

It can be written as a sum of positive squares in 4 ways, for example, as 10503585169 + 1707425041 = 102487^2 + 41321^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12211010191 and 12211010200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85490 + ... + 178130.

Almost surely, 212211010210 is an apocalyptic number.

12211010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12211010210 is an abundant number, since it is smaller than the sum of its proper divisors (13452676630).

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

12211010210 is a wasteful number, since it uses less digits than its factorization.

12211010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92931 (or 92924 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12211010210 its reverse (1201011221), we get a palindrome (13412021431).

The spelling of 12211010210 in words is "twelve billion, two hundred eleven million, ten thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 269 490 538 1345 1883 2690 3766 9415 13181 18830 26362 65905 92641 131810 185282 463205 648487 926410 1296974 3242435 4539409 6484870 9078818 22697045 24920429 45394090 49840858 124602145 174443003 249204290 348886006 872215015 1221101021 1744430030 2442202042 6105505105 12211010210