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212420333223 = 3371712724099
BaseRepresentation
bin1100010111010100111…
…1010000111010100111
3202022021221022222122000
43011311033100322213
511440014101130343
6241330132540343
721226655020020
oct3056517207247
9668257288560
10212420333223
11820a58163aa
12352031816b3
1317053594287
14a3d1877c47
1557d3a72ed3
hex31753d0ea7

212420333223 has 96 divisors (see below), whose sum is σ = 383925312000. Its totient is φ = 113315666688.

The previous prime is 212420333173. The next prime is 212420333269. The reversal of 212420333223 is 322333024212.

212420333223 is a `hidden beast` number, since 2 + 12 + 420 + 3 + 3 + 3 + 223 = 666.

It is not a de Polignac number, because 212420333223 - 213 = 212420325031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212420333023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51820428 + ... + 51824526.

It is an arithmetic number, because the mean of its divisors is an integer number (3999222000).

Almost surely, 2212420333223 is an apocalyptic number.

212420333223 is a deficient number, since it is larger than the sum of its proper divisors (171504978777).

212420333223 is a wasteful number, since it uses less digits than its factorization.

212420333223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 212420333223 its reverse (322333024212), we get a palindrome (534753357435).

The spelling of 212420333223 in words is "two hundred twelve billion, four hundred twenty million, three hundred thirty-three thousand, two hundred twenty-three".

Divisors: 1 3 7 9 17 21 27 51 63 119 127 153 189 357 381 459 889 1071 1143 2159 2667 3213 3429 4099 6477 8001 12297 15113 16129 19431 24003 28693 36891 45339 48387 58293 69683 86079 110673 112903 136017 145161 209049 258237 274193 338709 408051 435483 487781 520573 627147 774711 822579 1016127 1463343 1561719 1881441 1919351 2467737 3048381 3644011 4390029 4685157 5758053 7403211 8849741 10932033 13170087 14055471 17274159 26549223 32796099 51822477 61948187 66112771 79647669 98388297 185844561 198338313 238943007 462789397 557533683 595014939 1123917107 1388368191 1672601049 1785044817 3371751321 4165104573 7867419749 10115253963 12495313719 23602259247 30345761889 70806777741 212420333223