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214112103212223 = 33172801360746171
BaseRepresentation
bin110000101011101111011011…
…110110101010010010111111
31001002002220202121112020111000
4300223233123312222102333
5211031003041410242343
62035213424201301343
763046042342401606
oct6053573366522277
91032086677466430
10214112103212223
116224a484410567
122002043a194853
1392618b93839a8
143ac311c71aa3d
1519b4831a33ed3
hexc2bbdbdaa4bf

214112103212223 has 64 divisors (see below), whose sum is σ = 336082456765440. Its totient is φ = 134256745728000.

The previous prime is 214112103212207. The next prime is 214112103212233. The reversal of 214112103212223 is 322212301211412.

214112103212223 is a `hidden beast` number, since 2 + 1 + 4 + 11 + 210 + 3 + 212 + 223 = 666.

It is not a de Polignac number, because 214112103212223 - 24 = 214112103212207 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 (214112103212233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4637348928 + ... + 4637395098.

It is an arithmetic number, because the mean of its divisors is an integer number (5251288386960).

Almost surely, 2214112103212223 is an apocalyptic number.

214112103212223 is a deficient number, since it is larger than the sum of its proper divisors (121970353553217).

214112103212223 is a wasteful number, since it uses less digits than its factorization.

214112103212223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52605 (or 52599 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 214112103212223 its reverse (322212301211412), we get a palindrome (536324404423635).

The spelling of 214112103212223 in words is "two hundred fourteen trillion, one hundred twelve billion, one hundred three million, two hundred twelve thousand, two hundred twenty-three".

Divisors: 1 3 9 17 27 51 153 459 2801 3607 8403 10821 25209 32463 46171 47617 61319 75627 97389 138513 142851 183957 415539 428553 551871 784907 1246617 1285659 1655613 2354721 7064163 10103207 21192489 30309621 90928863 129324971 166538797 171754519 272786589 387974913 499616391 515263557 1163924739 1498849173 1545790671 2198524507 2831159549 3491774217 4496547519 4637372013 6595573521 8493478647 19786720563 25480435941 59360161689 76441307823 466475170397 1399425511191 4198276533573 7930077896749 12594829600719 23790233690247 71370701070741 214112103212223