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10021012431111 = 32112317321254083
BaseRepresentation
bin1001000111010011001011…
…1000101110000100000111
31022110222222120211100110200
42101310302320232010013
52303141013140243421
633151331202221543
72052665013145353
oct221646270560407
938428876740420
1010021012431111
1132139842a7570
12115a1809548b3
13578c92503606
1426903ba7a463
15125a099e8726
hex91d32e2e107

10021012431111 has 48 divisors (see below), whose sum is σ = 16478253971712. Its totient is φ = 5808924316800.

The previous prime is 10021012431071. The next prime is 10021012431121. The reversal of 10021012431111 is 11113421012001.

10021012431111 is a `hidden beast` number, since 1 + 0 + 0 + 210 + 12 + 431 + 1 + 11 = 666.

It is not a de Polignac number, because 10021012431111 - 219 = 10021011906823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021012431121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39312876 + ... + 39566958.

It is an arithmetic number, because the mean of its divisors is an integer number (343296957744).

Almost surely, 210021012431111 is an apocalyptic number.

10021012431111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10021012431111 is a deficient number, since it is larger than the sum of its proper divisors (6457241540601).

10021012431111 is a wasteful number, since it uses less digits than its factorization.

10021012431111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271444 (or 271441 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10021012431111 its reverse (11113421012001), we get a palindrome (21134433443112).

The spelling of 10021012431111 in words is "ten trillion, twenty-one billion, twelve million, four hundred thirty-one thousand, one hundred eleven".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 17321 51963 155889 190531 254083 398383 571593 762249 1195149 1714779 2286747 2794913 3585447 4382213 5843909 8384739 13146639 17531727 25154217 39439917 52595181 64282999 192848997 578546991 4400971643 13202914929 39608744787 48410688073 101222347789 145232064219 303667043367 435696192657 911001130101 1113445825679 3340337477037 10021012431111