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214135645351122 = 23211298317559849
BaseRepresentation
bin110000101100000101010111…
…000100110010110011010010
31001002012011112022012210211100
4300230011113010302303102
5211031344300202213442
62035232320223125230
763050534625312225
oct6054052704626322
91032164468183740
10214135645351122
1162259465328a00
1220024b0a443816
139263b9b8601b1
143ac431320d5bc
1519b525d73284c
hexc2c157132cd2

214135645351122 has 36 divisors (see below), whose sum is σ = 509973182941950. Its totient is φ = 64889589499680.

The previous prime is 214135645351091. The next prime is 214135645351129. The reversal of 214135645351122 is 221153546531412.

214135645351122 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 5 + 64 + 53 + 511 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150799849043481 + 63335796307641 = 12280059^2 + 7958379^2 .

It is not an unprimeable number, because it can be changed into a prime (214135645351129) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49158777747 + ... + 49158782102.

Almost surely, 2214135645351122 is an apocalyptic number.

214135645351122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

214135645351122 is an abundant number, since it is smaller than the sum of its proper divisors (295837537590828).

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

214135645351122 is a wasteful number, since it uses less digits than its factorization.

214135645351122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98317559879 (or 98317559865 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 214135645351122 in words is "two hundred fourteen trillion, one hundred thirty-five billion, six hundred forty-five million, three hundred fifty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 98317559849 196635119698 294952679547 589905359094 884858038641 1081493158339 1769716077282 2162986316678 3244479475017 6488958950034 9733438425051 11896424741729 19466876850102 23792849483458 35689274225187 71378548450374 107067822675561 214135645351122