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12201210100 = 2252122012101
BaseRepresentation
bin10110101110011111…
…11011000011110100
31011111022201200201101
423113033323003310
5144442002210400
65334414135444
7611233401052
oct132717730364
934438650641
1012201210100
1151a12a0812
1224461b1584
1311c5a53861
1483a6371d2
154b626856a
hex2d73fb0f4

12201210100 has 18 divisors (see below), whose sum is σ = 26476626134. Its totient is φ = 4880484000.

The previous prime is 12201210079. The next prime is 12201210103. The reversal of 12201210100 is 101210221.

It can be written as a sum of positive squares in 3 ways, for example, as 59814756 + 12141395344 = 7734^2 + 110188^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201210103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61005951 + ... + 61006150.

Almost surely, 212201210100 is an apocalyptic number.

12201210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201210100 is an abundant number, since it is smaller than the sum of its proper divisors (14275416034).

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

12201210100 is a wasteful number, since it uses less digits than its factorization.

12201210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122012115 (or 122012108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12201210100 its reverse (101210221), we get a palindrome (12302420321).

The spelling of 12201210100 in words is "twelve billion, two hundred one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122012101 244024202 488048404 610060505 1220121010 2440242020 3050302525 6100605050 12201210100