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214222014101001 = 32316754134363807
BaseRepresentation
bin110000101101010101110011…
…000011011011011000001001
31001002111102110111020220020110
4300231111303003123120021
5211034303141102213001
62035340122405144533
763060013132500564
oct6055256303333011
91032442414226213
10214222014101001
1162292056227035
12200397b30bb149
13926c08428035a
143ac8587b454db
1519b7615dc83d6
hexc2d5730db609

214222014101001 has 32 divisors (see below), whose sum is σ = 300386966519808. Its totient is φ = 135536349072960.

The previous prime is 214222014100979. The next prime is 214222014101059. The reversal of 214222014101001 is 100101410222412.

It is not a de Polignac number, because 214222014101001 - 29 = 214222014100489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214222014101701) 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 31 ways as a sum of consecutive naturals, for example, 10947961 + ... + 23415846.

It is an arithmetic number, because the mean of its divisors is an integer number (9387092703744).

Almost surely, 2214222014101001 is an apocalyptic number.

It is an amenable number.

214222014101001 is a deficient number, since it is larger than the sum of its proper divisors (86164952418807).

214222014101001 is a wasteful number, since it uses less digits than its factorization.

214222014101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34364541.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 214222014101001 its reverse (100101410222412), we get a palindrome (314323424323413).

The spelling of 214222014101001 in words is "two hundred fourteen trillion, two hundred twenty-two billion, fourteen million, one hundred one thousand, one".

Divisors: 1 3 23 69 167 501 541 1623 3841 11523 12443 37329 90347 271041 2077981 6233943 34363807 103091421 790367561 2371102683 5738755769 17216267307 18590819587 55772458761 131991382687 395974148061 427588850501 1282766551503 3104666871029 9314000613087 71407338033667 214222014101001