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320222201013 = 331113531564861
BaseRepresentation
bin1001010100011101011…
…10110000010010110101
31010121112211120021111000
410222032232300102311
520221303340413023
6403035201033513
732064255540531
oct4521656602265
91117484507430
10320222201013
111138950a2220
1252089925899
1324273564a20
14116dab48bc1
1584e2bbc243
hex4a8ebb04b5

320222201013 has 64 divisors (see below), whose sum is σ = 567857122560. Its totient is φ = 175765075200.

The previous prime is 320222200967. The next prime is 320222201021. The reversal of 320222201013 is 310102222023.

320222201013 is a `hidden beast` number, since 320 + 22 + 220 + 101 + 3 = 666.

It is not a de Polignac number, because 320222201013 - 28 = 320222200757 is a prime.

It is a super-2 number, since 2×3202222010132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320222201023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 577798 + ... + 987063.

It is an arithmetic number, because the mean of its divisors is an integer number (8872767540).

Almost surely, 2320222201013 is an apocalyptic number.

320222201013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

320222201013 is a deficient number, since it is larger than the sum of its proper divisors (247634921547).

320222201013 is a wasteful number, since it uses less digits than its factorization.

320222201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564947 (or 1564941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320222201013 its reverse (310102222023), we get a palindrome (630324423036).

It can be divided in two parts, 3202222010 and 13, that added together give a palindrome (3202222023).

The spelling of 320222201013 in words is "three hundred twenty billion, two hundred twenty-two million, two hundred one thousand, thirteen".

Divisors: 1 3 9 11 13 27 33 39 53 99 117 143 159 297 351 429 477 583 689 1287 1431 1749 2067 3861 5247 6201 7579 15741 18603 22737 68211 204633 1564861 4694583 14083749 17213471 20343193 42251247 51640413 61029579 82937633 154921239 183088737 223775123 248812899 464763717 549266211 671325369 746438697 912313963 1078189229 2013976107 2239316091 2736941889 3234567687 6041928321 8210825667 9703703061 11860081519 24632477001 29111109183 35580244557 106740733671 320222201013