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20102200220102 = 27111367149866553
BaseRepresentation
bin1001001001000011010001…
…00000001101100111000110
32122011202021220012121110212
410210201220200031213012
510113323301224020402
6110430453455315422
74143223155404150
oct444415040154706
978152256177425
1020102200220102
116450327a63060
122307b3621bb72
13b2a8248a1060
144d6d475b5ad0
1524cd87332952
hex12486880d9c6

20102200220102 has 64 divisors (see below), whose sum is σ = 41089812309504. Its totient is φ = 7121658551040.

The previous prime is 20102200220101. The next prime is 20102200220107.

20102200220102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102200220101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 74799143 + ... + 75067410.

It is an arithmetic number, because the mean of its divisors is an integer number (642028317336).

Almost surely, 220102200220102 is an apocalyptic number.

20102200220102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20102200220102 is an abundant number, since it is smaller than the sum of its proper divisors (20987612089402).

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

20102200220102 is a wasteful number, since it uses less digits than its factorization.

20102200220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149866653.

The product of its (nonzero) digits is 64, while the sum is 14.

It can be divided in two parts, 20102200 and 220102, that added together give a palindrome (20322302).

The spelling of 20102200220102 in words is "twenty trillion, one hundred two billion, two hundred million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 67 77 91 134 143 154 182 286 469 737 871 938 1001 1474 1742 2002 5159 6097 9581 10318 12194 19162 67067 134134 149866553 299733106 1049065871 1648532083 1948265189 2098131742 3297064166 3896530378 10041059051 11539724581 13637856323 20082118102 21430917079 23079449162 27275712646 42861834158 70287413357 110451649561 130533767663 140574826714 150016419553 220903299122 261067535326 300032839106 773161546927 913736373641 1435871444293 1546323093854 1827472747282 2871742888586 10051100110051 20102200220102