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20102202212202 = 23211587172957877
BaseRepresentation
bin1001001001000011010001…
…00111110011111101101010
32122011202022000221211010100
410210201220213303331222
510113323302231242302
6110430454010130230
74143223211342055
oct444415047637552
978152260854110
1020102202212202
1164503290a3820
122307b36a20976
13b2a82511aa06
144d6d47973a9c
1524cd875c7d1c
hex1248689f3f6a

20102202212202 has 48 divisors (see below), whose sum is σ = 47595240699552. Its totient is φ = 6081198920160.

The previous prime is 20102202212201. The next prime is 20102202212333. The reversal of 20102202212202 is 20221220220102.

20102202212202 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 220 + 221 + 220 + 2 = 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 (20102202212201) 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 23 ways as a sum of consecutive naturals, for example, 86362713 + ... + 86595164.

It is an arithmetic number, because the mean of its divisors is an integer number (991567514574).

Almost surely, 220102202212202 is an apocalyptic number.

20102202212202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20102202212202 is an abundant number, since it is smaller than the sum of its proper divisors (27493038487350).

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

20102202212202 is a wasteful number, since it uses less digits than its factorization.

20102202212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172958483 (or 172958480 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20102202212202 its reverse (20221220220102), we get a palindrome (40323422432304).

It can be divided in two parts, 20102 and 202212202, that multiplied together give a palindrome (4064869684604).

The spelling of 20102202212202 in words is "twenty trillion, one hundred two billion, two hundred two million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 587 1174 1761 3522 5283 6457 10566 12914 19371 38742 58113 116226 172957877 345915754 518873631 1037747262 1556620893 1902536647 3113241786 3805073294 5707609941 11415219882 17122829823 34245659646 101526273799 203052547598 304578821397 609157642794 913736464191 1116789011789 1827472928382 2233578023578 3350367035367 6700734070734 10051101106101 20102202212202