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13021320230022 = 231341111711513167
BaseRepresentation
bin1011110101111100001100…
…1010101011010010000110
31201002211022012021102122110
42331133003022223102012
53201320130434330042
643405524551041450
72512521311513406
oct275370312532206
951084265242573
1013021320230022
114170346894105
121563751970286
13735b9ca32040
143303417b6806
15178aab28c09c
hexbd7c32ab486

13021320230022 has 128 divisors (see below), whose sum is σ = 28789758885888. Its totient is φ = 3900714624000.

The previous prime is 13021320230011. The next prime is 13021320230029. The reversal of 13021320230022 is 22003202312031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021320230029) 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 63 ways as a sum of consecutive naturals, for example, 4111561483 + ... + 4111564649.

It is an arithmetic number, because the mean of its divisors is an integer number (224919991296).

Almost surely, 213021320230022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021320230022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394879442944).

13021320230022 is an abundant number, since it is smaller than the sum of its proper divisors (15768438655866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13021320230022 is a wasteful number, since it uses less digits than its factorization.

13021320230022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13021320230022 its reverse (22003202312031), we get a palindrome (35024522542053).

The spelling of 13021320230022 in words is "thirteen trillion, twenty-one billion, three hundred twenty million, two hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1117 1151 1599 2234 2302 3167 3198 3351 3453 6334 6702 6906 9501 14521 14963 19002 29042 29926 41171 43563 44889 45797 47191 82342 87126 89778 91594 94382 123513 129847 137391 141573 247026 259694 274782 283146 389541 595361 613483 779082 1190722 1226966 1285667 1688011 1786083 1840449 2571334 3376022 3537539 3572166 3645217 3680898 3857001 5064033 7075078 7290434 7714002 10128066 10612617 10935651 16713671 21225234 21871302 33427342 45988007 47387821 50141013 52712347 91976014 94775642 100282026 105424694 137964021 142163463 145039099 149453897 158137041 275928042 284326926 290078198 298907794 316274082 435117297 448361691 685260511 870234594 896723382 1370521022 1885508287 1942900661 2055781533 3771016574 3885801322 4071707389 4111563066 5656524861 5828701983 8143414778 11313049722 11657403966 12215122167 24430244334 52932196057 105864392114 158796588171 166940002949 317593176342 333880005898 500820008847 1001640017694 2170220038337 4340440076674 6510660115011 13021320230022