Search a number
-
+
221414106520101 = 31143356692733361
BaseRepresentation
bin110010010101111111111101…
…001010101101101000100101
31002000221222111202222211101110
4302111333331022231220211
5213010122042232120401
62102524123014015233
764431432652414305
oct6225777512555045
91060858452884343
10221414106520101
1164605216970a50
12209bb654347519
139671350872aa1
143c966ddb71605
151a8e7507099d6
hexc95ffd2ada25

221414106520101 has 32 divisors (see below), whose sum is σ = 322857722033280. Its totient is φ = 133856793907200.

The previous prime is 221414106520073. The next prime is 221414106520141. The reversal of 221414106520101 is 101025601414122.

It is not a de Polignac number, because 221414106520101 - 213 = 221414106511909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221414106520141) 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, 79637661 + ... + 82371021.

It is an arithmetic number, because the mean of its divisors is an integer number (10089303813540).

Almost surely, 2221414106520101 is an apocalyptic number.

It is an amenable number.

221414106520101 is a deficient number, since it is larger than the sum of its proper divisors (101443615513179).

221414106520101 is a wasteful number, since it uses less digits than its factorization.

221414106520101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739477.

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 221414106520101 its reverse (101025601414122), we get a palindrome (322439707934223).

The spelling of 221414106520101 in words is "two hundred twenty-one trillion, four hundred fourteen billion, one hundred six million, five hundred twenty thousand, one hundred one".

Divisors: 1 3 11 33 433 1299 4763 5669 14289 17007 62359 187077 2454677 2733361 7364031 8200083 27001447 30066971 81004341 90200913 1183545313 3550635939 13018998443 15495423509 39056995329 46486270527 170449658599 511348975797 6709518379397 20128555138191 73804702173367 221414106520101