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311231011101021 = 34111470732375047
BaseRepresentation
bin100011011000100000001110…
…1110111000001100101011101
31111210222101122021202002220000
41012301000131313001211131
5311243202102320213041
63021533315213244513
7122361461406633564
oct10661003567014535
91453871567662800
10311231011101021
119019336aa99840
122aaa67a3a93739
1310487c5c83604b
1456bd9388d4bdb
1525eac75c3bbb6
hex11b101ddc195d

311231011101021 has 40 divisors (see below), whose sum is σ = 507194939469504. Its totient is φ = 188623493268480.

The previous prime is 311231011101011. The next prime is 311231011101047. The reversal of 311231011101021 is 120101110132113.

311231011101021 is a `hidden beast` number, since 311 + 2 + 310 + 1 + 1 + 10 + 10 + 21 = 666.

It is not a de Polignac number, because 311231011101021 - 221 = 311231009003869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311231011100985 and 311231011101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311231011101011) 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 39 ways as a sum of consecutive naturals, for example, 129854520 + ... + 132229566.

Almost surely, 2311231011101021 is an apocalyptic number.

It is an amenable number.

311231011101021 is a deficient number, since it is larger than the sum of its proper divisors (195963928368483).

311231011101021 is a wasteful number, since it uses less digits than its factorization.

311231011101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522143 (or 2522134 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 311231011101021 its reverse (120101110132113), we get a palindrome (431332121233134).

The spelling of 311231011101021 in words is "three hundred eleven trillion, two hundred thirty-one billion, eleven million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 147073 441219 1323657 1617803 2375047 3970971 4853409 7125141 11912913 14560227 21375423 26125517 43680681 64126269 78376551 131042043 192378807 235129653 705388959 2116166877 349305287431 1047915862293 3143747586879 3842358161741 9431242760637 11527074485223 28293728281911 34581223455669 103743670367007 311231011101021