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321420300041022 = 237138314479489851
BaseRepresentation
bin100100100010101000111111…
…0110011101011101100111110
31120011001110222100111211010220
41021011101332303223230332
5314112122233302303042
63055334240345242210
7124462564445616060
oct11105217663535476
91504043870454126
10321420300041022
1193461646a66056
12300714a8193366
1310a46a5bbb09c0
145952b7b369730
152725d2dadb8ec
hex124547ecebb3e

321420300041022 has 128 divisors (see below), whose sum is σ = 800777758556160. Its totient is φ = 83742906326400.

The previous prime is 321420300041003. The next prime is 321420300041053. The reversal of 321420300041022 is 220140003024123.

It is a happy number.

It is a super-2 number, since 2×3214203000410222 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321420300040983 and 321420300041001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 655914397 + ... + 656404247.

It is an arithmetic number, because the mean of its divisors is an integer number (6256076238720).

Almost surely, 2321420300041022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321420300041022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400388879278080).

321420300041022 is an abundant number, since it is smaller than the sum of its proper divisors (479357458515138).

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

321420300041022 is a wasteful number, since it uses less digits than its factorization.

321420300041022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504438.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 321420300041022 its reverse (220140003024123), we get a palindrome (541560303065145).

The spelling of 321420300041022 in words is "three hundred twenty-one trillion, four hundred twenty billion, three hundred million, forty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 83 91 166 182 249 273 498 546 581 1079 1162 1743 2158 3237 3486 6474 7553 14479 15106 22659 28958 43437 45318 86874 101353 188227 202706 304059 376454 489851 564681 608118 979702 1129362 1201757 1317589 1469553 2403514 2635178 2939106 3428957 3605271 3952767 6368063 6857914 7210542 7905534 8412299 10286871 12736126 15622841 16824598 19104189 20573742 25236897 31245682 38208378 40657633 44576441 46868523 50473794 81315266 89152882 93737046 109359887 121972899 133729323 218719774 243945798 267458646 284603431 328079661 528549229 569206862 656159322 853810293 1057098458 1585647687 1707620586 3171295374 3699844603 7092552629 7399689206 11099533809 14185105258 21277657887 22199067618 42555315774 49647868403 92203184177 99295736806 148943605209 184406368354 276609552531 297887210418 553219105062 588681868207 645422289239 1177363736414 1290844578478 1766045604621 1936266867717 3532091209242 3872533735434 4120773077449 7652864286691 8241546154898 12362319232347 15305728573382 22958592860073 24724638464694 45917185720146 53570050006837 107140100013674 160710150020511 321420300041022