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12210001100 = 225211297101103
BaseRepresentation
bin10110101111100010…
…11101010011001100
31011111221021022200222
423113301131103030
5200001230013400
65335330410512
7611401203563
oct132761352314
934457238628
1012210001100
1151a6255600
122449130a38
1311c781102b
1483b884bda
154b6e03185
hex2d7c5d4cc

12210001100 has 216 divisors, whose sum is σ = 30003433824. Its totient is φ = 4308480000.

The previous prime is 12210001057. The next prime is 12210001117. The reversal of 12210001100 is 110001221.

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 71 ways as a sum of consecutive naturals, for example, 118543649 + ... + 118543751.

Almost surely, 212210001100 is an apocalyptic number.

12210001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15001716912).

12210001100 is an abundant number, since it is smaller than the sum of its proper divisors (17793432724).

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

12210001100 is a wasteful number, since it uses less digits than its factorization.

12210001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12210001100 its reverse (110001221), we get a palindrome (12320002321).

The spelling of 12210001100 in words is "twelve billion, two hundred ten million, one thousand, one hundred".