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211301031123 = 327131737410173
BaseRepresentation
bin1100010011001010000…
…1011101110011010011
3202012101221011112210200
43010302201131303103
511430221030443443
6241023110230243
721160144062420
oct3046241356323
9665357145720
10211301031123
1181680a18146
1234b50355383
1316c05715a40
14a326d52d47
15576a677dd3
hex313285dcd3

211301031123 has 96 divisors (see below), whose sum is σ = 408493927296. Its totient is φ = 102063919104.

The previous prime is 211301031107. The next prime is 211301031181. The reversal of 211301031123 is 321130103112.

211301031123 is a `hidden beast` number, since 211 + 301 + 0 + 31 + 123 = 666.

211301031123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211301031123 - 24 = 211301031107 is a prime.

It is a super-2 number, since 2×2113010311232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211301031096 and 211301031105.

It is not an unprimeable number, because it can be changed into a prime (211301030123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310065 + ... + 720237.

It is an arithmetic number, because the mean of its divisors is an integer number (4255145076).

Almost surely, 2211301031123 is an apocalyptic number.

211301031123 is a deficient number, since it is larger than the sum of its proper divisors (197192896173).

211301031123 is a wasteful number, since it uses less digits than its factorization.

211301031123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410253 (or 410250 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211301031123 its reverse (321130103112), we get a palindrome (532431134235).

It can be divided in two parts, 21130103112 and 3, that multiplied together give a palindrome (63390309336).

The spelling of 211301031123 in words is "two hundred eleven billion, three hundred one million, thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 13 17 21 37 39 51 63 91 111 117 119 153 221 259 273 333 357 481 629 663 777 819 1071 1443 1547 1887 1989 2331 3367 4329 4403 4641 5661 8177 10101 13209 13923 24531 30303 39627 57239 73593 171717 410173 515151 1230519 2871211 3691557 5332249 6972941 8613633 15176401 15996747 20918823 25840899 37325743 45529203 47990241 48810587 62756469 90648233 106234807 111977229 136587609 146431761 197293213 257998817 271944699 318704421 335931687 439295283 591879639 634537631 773996451 815834097 956113263 1381052491 1775638917 1805991719 1903612893 2321989353 3353984621 4143157473 5417975157 5710838679 10061953863 12429472419 16253925471 23477892347 30185861589 70433677041 211301031123