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12202102202130 = 23354761671491579
BaseRepresentation
bin1011000110010000010111…
…1101111001111100010010
31121012111202111000201111000
42301210011331321330102
53044404401130432010
641541322433402430
72366400316254501
oct261440575717422
947174674021430
1012202102202130
113984978648635
121450a23409416
136a68653bb039
14302828d60838
15162610be47c0
hexb1905f79f12

12202102202130 has 512 divisors, whose sum is σ = 34532075520000. Its totient is φ = 3063051002880.

The previous prime is 12202102202117. The next prime is 12202102202137. The reversal of 12202102202130 is 3120220120221.

12202102202130 is a `hidden beast` number, since 1 + 2 + 20 + 210 + 220 + 213 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12202102202137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7727739681 + ... + 7727741259.

It is an arithmetic number, because the mean of its divisors is an integer number (67445460000).

Almost surely, 212202102202130 is an apocalyptic number.

12202102202130 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 12202102202130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17266037760000).

12202102202130 is an abundant number, since it is smaller than the sum of its proper divisors (22329973317870).

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

12202102202130 is a wasteful number, since it uses less digits than its factorization.

12202102202130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12202102202130 its reverse (3120220120221), we get a palindrome (15322322322351).

The spelling of 12202102202130 in words is "twelve trillion, two hundred two billion, one hundred two million, two hundred two thousand, one hundred thirty".