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12202220100 = 22352727383137
BaseRepresentation
bin10110101110100111…
…10001101001000100
31011111101122000011210
423113103301221010
5144442232020400
65334451531420
7611245105500
oct132723615104
934441560153
1012202220100
1151a1920624
1224465b9b70
1311c60184a5
1483a81b300
154b63b7950
hex2d74f1a44

12202220100 has 432 divisors, whose sum is σ = 42440908608. Its totient is φ = 2697891840.

The previous prime is 12202220099. The next prime is 12202220113. The reversal of 12202220100 is 102220221.

12202220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89067232 + ... + 89067368.

It is an arithmetic number, because the mean of its divisors is an integer number (98242844).

Almost surely, 212202220100 is an apocalyptic number.

12202220100 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 12202220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21220454304).

12202220100 is an abundant number, since it is smaller than the sum of its proper divisors (30238688508).

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

12202220100 is a wasteful number, since it uses less digits than its factorization.

12202220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12202220100 its reverse (102220221), we get a palindrome (12304440321).

The spelling of 12202220100 in words is "twelve billion, two hundred two million, two hundred twenty thousand, one hundred".