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220212100202003 = 71317673176702191
BaseRepresentation
bin110010000100100000100000…
…000000011111111000010011
31001212201001220220001012101022
4302010200200000133320103
5212330423340122431003
62100204013043030055
764245541062323330
oct6204404000377023
91055631826035338
10220212100202003
1164191477712428
12208466b696b32b
1395b4bb170b010
143c54472dc5987
151a6d34e80e738
hexc8482001fe13

220212100202003 has 64 divisors (see below), whose sum is σ = 292175250812928. Its totient is φ = 161027567585280.

The previous prime is 220212100201939. The next prime is 220212100202023. The reversal of 220212100202003 is 300202001212022.

It is a cyclic number.

It is not a de Polignac number, because 220212100202003 - 26 = 220212100201939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (220212100202023) 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 63 ways as a sum of consecutive naturals, for example, 29505638 + ... + 36207828.

It is an arithmetic number, because the mean of its divisors is an integer number (4565238293952).

Almost surely, 2220212100202003 is an apocalyptic number.

220212100202003 is a deficient number, since it is larger than the sum of its proper divisors (71963150610925).

220212100202003 is a wasteful number, since it uses less digits than its factorization.

220212100202003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6702612.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 220212100202003 its reverse (300202001212022), we get a palindrome (520414101414025).

The spelling of 220212100202003 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred million, two hundred two thousand, three".

Divisors: 1 7 13 17 67 91 119 221 317 469 871 1139 1547 2219 4121 5389 6097 7973 14807 21239 28847 37723 70057 103649 148673 276107 361063 490399 1932749 2527441 4693819 6702191 32856733 46915337 87128483 113937247 449046797 609899381 797560729 1481184211 2124594547 3143327579 5837608361 7633795549 10368289477 14872161829 27619729111 36118107299 40863258527 53436568843 99239342137 142347834649 193338103777 252826751093 469535394887 694675394959 996434842543 1850521850437 2419913189033 3286747764209 12953652953059 16939392323231 31458871457429 220212100202003