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314310341121021 = 3474170891329067
BaseRepresentation
bin100011101110111010001010…
…0001110110101001111111101
31112012212202221002102221120000
41013131310110032311033331
5312144130034311333041
63032252102150344513
7123130113155142060
oct10735642416651775
91465782832387500
10314310341121021
11911702a3566713
122b30354935b139
131064c45173c78b
1457889b75a48d7
152650deec0bbb6
hex11ddd143b53fd

314310341121021 has 40 divisors (see below), whose sum is σ = 536602061012160. Its totient is φ = 179605343457792.

The previous prime is 314310341120929. The next prime is 314310341121071. The reversal of 314310341121021 is 120121143013413.

314310341121021 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 10 + 3 + 411 + 210 + 21 = 666.

It is not a de Polignac number, because 314310341121021 - 29 = 314310341120509 is a prime.

It is a super-2 number, since 2×3143103411210212 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314310341121071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235824930 + ... + 237153996.

It is an arithmetic number, because the mean of its divisors is an integer number (13415051525304).

Almost surely, 2314310341121021 is an apocalyptic number.

It is an amenable number.

314310341121021 is a deficient number, since it is larger than the sum of its proper divisors (222291719891139).

314310341121021 is a wasteful number, since it uses less digits than its factorization.

314310341121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746175 (or 1746166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 314310341121021 its reverse (120121143013413), we get a palindrome (434431484134434).

The spelling of 314310341121021 in words is "three hundred fourteen trillion, three hundred ten billion, three hundred forty-one million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 417089 1251267 1329067 2919623 3753801 3987201 8758869 9303469 11261403 11961603 26276607 27910407 33784209 35884809 78829821 83731221 107654427 236489463 251193663 753580989 554339225963 1663017677889 3880374581741 4989053033667 11641123745223 14967159101001 34923371235669 44901477303003 104770113707007 314310341121021