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213112120221 = 327111337639337
BaseRepresentation
bin1100011001111001111…
…0001110001110011101
3202101002011001101222200
43012132132032032131
511442423200321341
6241522524202113
721253055063520
oct3063636161635
9671064041880
10213112120221
11824202661a0
1235376999339
13171339b92b0
14a4596b4bb7
155824671db6
hex319e78e39d

213112120221 has 96 divisors (see below), whose sum is σ = 424479514368. Its totient is φ = 99429534720.

The previous prime is 213112120183. The next prime is 213112120267. The reversal of 213112120221 is 122021211312.

213112120221 is a `hidden beast` number, since 213 + 112 + 120 + 221 = 666.

It is not a de Polignac number, because 213112120221 - 26 = 213112120157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213112120194 and 213112120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112120321) 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, 13665 + ... + 653001.

It is an arithmetic number, because the mean of its divisors is an integer number (4421661608).

Almost surely, 2213112120221 is an apocalyptic number.

213112120221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213112120221 is a deficient number, since it is larger than the sum of its proper divisors (211367394147).

213112120221 is a wasteful number, since it uses less digits than its factorization.

213112120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639411 (or 639408 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213112120221 its reverse (122021211312), we get a palindrome (335133331533).

It can be divided in two parts, 213112 and 120221, that added together give a palindrome (333333).

The spelling of 213112120221 in words is "two hundred thirteen billion, one hundred twelve million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 37037 47619 111111 333333 639337 1918011 4475359 5754033 7032707 8311381 13426077 21098121 23655469 24934143 40278231 49228949 58179667 63294363 70966407 74802429 91425191 147686847 165588283 174539001 212899221 260210159 274275573 307521097 443060541 496764849 523617003 639976337 780630477 822826719 922563291 1490294547 1821471113 1919929011 2152647679 2341891431 2767689873 3382732067 5464413339 5759787033 6457943037 10148196201 16393240017 19373829111 23679124469 30444588603 71037373407 213112120221