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422101210401 = 33131963293029
BaseRepresentation
bin1100010010001110011…
…00010101010100100001
31111100111221220012001000
412021013030111110201
523403430402213101
6521524405502213
742332030042523
oct6110714252441
91440457805030
10422101210401
11153015146942
1269980a11969
1330a5b438a30
141660356ba13
15aea6d6a486
hex6247315521

422101210401 has 32 divisors (see below), whose sum is σ = 708881936000. Its totient is φ = 246083292864.

The previous prime is 422101210373. The next prime is 422101210403. The reversal of 422101210401 is 104012101224.

422101210401 is a `hidden beast` number, since 42 + 2 + 10 + 1 + 210 + 401 = 666.

It is not a de Polignac number, because 422101210401 - 25 = 422101210369 is a prime.

It is a super-3 number, since 3×4221012104013 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (422101210403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31639846 + ... + 31653183.

It is an arithmetic number, because the mean of its divisors is an integer number (22152560500).

Almost surely, 2422101210401 is an apocalyptic number.

It is an amenable number.

422101210401 is a deficient number, since it is larger than the sum of its proper divisors (286780725599).

422101210401 is a wasteful number, since it uses less digits than its factorization.

422101210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63293070 (or 63293064 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 422101210401 its reverse (104012101224), we get a palindrome (526113311625).

The spelling of 422101210401 in words is "four hundred twenty-two billion, one hundred one million, two hundred ten thousand, four hundred one".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 2223 6669 63293029 189879087 569637261 822809377 1202567551 1708911783 2468428131 3607702653 7405284393 10823107959 15633378163 22215853179 32469323877 46900134489 140700403467 422101210401