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214124063243013 = 3271123128310470749
BaseRepresentation
bin110000101011111010100100…
…101110100011101100000101
31001002011001122010102202101100
4300223322210232203230011
5211031202040142234023
62035223123042250313
763046644620106210
oct6053724456435405
91032131563382340
10214124063243013
1162254561552730
1220022817656999
139262a741629a1
143ac3934cd2777
1519b4cd1a0bc43
hexc2bea4ba3b05

214124063243013 has 96 divisors (see below), whose sum is σ = 402687956736000. Its totient is φ = 106314111573120.

The previous prime is 214124063243009. The next prime is 214124063243089. The reversal of 214124063243013 is 310342360421412.

214124063243013 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 2 + 4 + 0 + 632 + 4 + 3 + 0 + 13 = 666.

214124063243013 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 214124063243013 - 22 = 214124063243009 is a prime.

It is a super-2 number, since 2×2141240632430132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214124063043013) 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, 15214363 + ... + 25685111.

It is an arithmetic number, because the mean of its divisors is an integer number (4194666216000).

Almost surely, 2214124063243013 is an apocalyptic number.

214124063243013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

214124063243013 is a deficient number, since it is larger than the sum of its proper divisors (188563893492987).

214124063243013 is a wasteful number, since it uses less digits than its factorization.

214124063243013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10472079 (or 10472076 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 214124063243013 in words is "two hundred fourteen trillion, one hundred twenty-four billion, sixty-three million, two hundred forty-three thousand, thirteen".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 161 207 231 253 483 693 759 1283 1449 1771 2277 3849 5313 8981 11547 14113 15939 26943 29509 42339 80829 88527 98791 127017 206563 265581 296373 324599 619689 889119 973797 1859067 2272193 2921391 6816579 10470749 20449737 31412247 73295243 94236741 115178239 219885729 240827227 345534717 659657187 722481681 806247673 1036604151 1685790589 2167445043 2418743019 2649099497 5057371767 7256229057 7947298491 13433970967 15172115301 18543696479 23841895473 40301912901 55631089437 94037796769 120905738703 147773680637 166893268311 282113390307 308981332241 443321041911 846340170921 926943996723 1034415764459 1329963125733 2162869325687 2780831990169 3103247293377 3398794654651 6488607977061 9309741880131 10196383963953 19465823931183 23791562582557 30589151891859 71374687747671 214124063243013