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12001110210 = 2325377349369
BaseRepresentation
bin10110010110101001…
…00110100011000010
31010222101012120021100
423023110212203002
5144034241011320
65302505235230
7603253516335
oct131324464302
933871176240
1012001110210
1150a934a801
1223ab192b16
131193462c5b
1481bc2a61c
154a38de790
hex2cb5268c2

12001110210 has 96 divisors (see below), whose sum is σ = 32485854960. Its totient is φ = 3071084544.

The previous prime is 12001110193. The next prime is 12001110217. The reversal of 12001110210 is 1201110021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6152990481 + 5848119729 = 78441^2 + 76473^2 .

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 = 12001110192 and 12001110201.

It is not an unprimeable number, because it can be changed into a prime (12001110217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218406 + ... + 267774.

Almost surely, 212001110210 is an apocalyptic number.

12001110210 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 12001110210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16242927480).

12001110210 is an abundant number, since it is smaller than the sum of its proper divisors (20484744750).

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

12001110210 is a wasteful number, since it uses less digits than its factorization.

12001110210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49492 (or 49489 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001110210 its reverse (1201110021), we get a palindrome (13202220231).

The spelling of 12001110210 in words is "twelve billion, one million, one hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 73 74 90 111 146 185 219 222 333 365 370 438 555 657 666 730 1095 1110 1314 1665 2190 2701 3285 3330 5402 6570 8103 13505 16206 24309 27010 40515 48618 49369 81030 98738 121545 148107 243090 246845 296214 444321 493690 740535 888642 1481070 1826653 2221605 3603937 3653306 4443210 5479959 7207874 9133265 10811811 10959918 16439877 18019685 18266530 21623622 27399795 32435433 32879754 36039370 54059055 54799590 64870866 82199385 108118110 133345669 162177165 164398770 266691338 324354330 400037007 666728345 800074014 1200111021 1333456690 2000185035 2400222042 4000370070 6000555105 12001110210