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10022013430641 = 326733673450481
BaseRepresentation
bin1001000111010110111010…
…0011001110101101110001
31022111002120100101101200100
42101311232203032231301
52303200040414240031
633152014401143013
72053031556411342
oct221655643165561
938432510341610
1010022013430641
113214348343303
12115a40002aa69
135790c1a00724
142690d49a80c9
15125a67825de6
hex91d6e8ceb71

10022013430641 has 24 divisors (see below), whose sum is σ = 14501730945416. Its totient is φ = 6669583441920.

The previous prime is 10022013430621. The next prime is 10022013430703. The reversal of 10022013430641 is 14603431022001.

It is a happy number.

10022013430641 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 0 + 13 + 4 + 3 + 0 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1065736199025 + 8956277231616 = 1032345^2 + 2992704^2 .

It is not a de Polignac number, because 10022013430641 - 29 = 10022013430129 is a prime.

It is a super-2 number, since 2×100220134306412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022013430621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22022121 + ... + 22472601.

Almost surely, 210022013430641 is an apocalyptic number.

It is an amenable number.

10022013430641 is a deficient number, since it is larger than the sum of its proper divisors (4479717514775).

10022013430641 is a wasteful number, since it uses less digits than its factorization.

10022013430641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454833 (or 454830 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10022013430641 its reverse (14603431022001), we get a palindrome (24625444452642).

The spelling of 10022013430641 in words is "ten trillion, twenty-two billion, thirteen million, four hundred thirty thousand, six hundred forty-one".

Divisors: 1 3 9 673 2019 3673 6057 11019 33057 450481 1351443 2471929 4054329 7415787 22247361 303173713 909521139 1654616713 2728563417 4963850139 14891550417 1113557047849 3340671143547 10022013430641