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214210020212433 = 32723388393806303
BaseRepresentation
bin110000101101001010101000…
…001010010111111011010001
31001002110021111121122020012100
4300231022220022113323101
5211034104110133244213
62035330420314351013
763056106664226460
oct6055125012277321
91032407447566170
10214210020212433
1162287a60a6a033
122003740642b469
13926abc247847b
143ac7b6ac789d7
1519b7162e63773
hexc2d2a8297ed1

214210020212433 has 48 divisors (see below), whose sum is σ = 369000771010560. Its totient is φ = 117080692404192.

The previous prime is 214210020212429. The next prime is 214210020212449. The reversal of 214210020212433 is 334212020012412.

214210020212433 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 10 + 0 + 2 + 0 + 212 + 433 = 666.

It is not a de Polignac number, because 214210020212433 - 22 = 214210020212429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214210020212397 and 214210020212406.

It is not an unprimeable number, because it can be changed into a prime (214210020212473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54374560 + ... + 58180862.

It is an arithmetic number, because the mean of its divisors is an integer number (7687516062720).

Almost surely, 2214210020212433 is an apocalyptic number.

214210020212433 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

214210020212433 is a deficient number, since it is larger than the sum of its proper divisors (154790750798127).

214210020212433 is a wasteful number, since it uses less digits than its factorization.

214210020212433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845178 (or 3845175 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214210020212433 its reverse (334212020012412), we get a palindrome (548422040224845).

The spelling of 214210020212433 in words is "two hundred fourteen trillion, two hundred ten billion, twenty million, two hundred twelve thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 38839 116517 271873 349551 815619 893297 2446857 2679891 3806303 6253079 8039673 11418909 18759237 26644121 34256727 56277711 79932363 87544969 239797089 262634907 612814783 787904721 1838444349 5515333047 147833002217 443499006651 1034831015519 1330497019953 3104493046557 3400159050991 9313479139671 10200477152973 23801113356937 30601431458919 71403340070811 214210020212433