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211331303311434 = 231938933851140779
BaseRepresentation
bin110000000011010001100111…
…010000111000100001001010
31000201021002000212220202011220
4300003101213100320201022
5210144423002121431214
62025244132132502510
762341116463264245
oct6003214720704112
91021232025822156
10211331303311434
1161378114361779
121b851509a7aa36
1390bc5c1900c07
143a286bd88a25c
15196732b1779a9
hexc0346743884a

211331303311434 has 64 divisors (see below), whose sum is σ = 446068074816000. Its totient is φ = 66562203470400.

The previous prime is 211331303311393. The next prime is 211331303311537. The reversal of 211331303311434 is 434113303133112.

It is a junction number, because it is equal to n+sod(n) for n = 211331303311395 and 211331303311404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1501086057 + ... + 1501226835.

It is an arithmetic number, because the mean of its divisors is an integer number (6969813669000).

Almost surely, 2211331303311434 is an apocalyptic number.

211331303311434 is an abundant number, since it is smaller than the sum of its proper divisors (234736771504566).

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

211331303311434 is a wasteful number, since it uses less digits than its factorization.

211331303311434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175043.

The product of its (nonzero) digits is 23328, while the sum is 33.

Adding to 211331303311434 its reverse (434113303133112), we get a palindrome (645444606444546).

The spelling of 211331303311434 in words is "two hundred eleven trillion, three hundred thirty-one billion, three hundred three million, three hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 19 38 57 114 389 778 1167 2334 7391 14782 22173 33851 44346 67702 101553 140779 203106 281558 422337 643169 844674 1286338 1929507 2674801 3859014 5349602 8024403 13168039 16048806 26336078 39504117 54763031 79008234 109526062 164289093 250192741 328578186 500385482 750578223 1040497589 1501156446 2080995178 3121492767 4765509929 6242985534 9531019858 14296529787 28593059574 90544688651 181089377302 271634065953 543268131906 1853783362381 3707566724762 5561350087143 11122700174286 35221883885239 70443767770478 105665651655717 211331303311434