Search a number
-
+
13332022330420 = 2254353761384359
BaseRepresentation
bin1100001000000001101001…
…1101001000010000110100
31202012112021120002111012101
43002000122131020100310
53221412440204033140
644204351351231444
72544130641010663
oct302003235102064
952175246074171
1013332022330420
114280096049882
1215b3a03378584
13759286b44521
143413b8000dda
15181be329399a
hexc201a748434

13332022330420 has 96 divisors (see below), whose sum is σ = 29227312477440. Its totient is φ = 5103782261760.

The previous prime is 13332022330411. The next prime is 13332022330481. The reversal of 13332022330420 is 2403322023331.

It is a super-3 number, since 3×133320223304203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34494201 + ... + 34878559.

It is an arithmetic number, because the mean of its divisors is an integer number (304451171640).

Almost surely, 213332022330420 is an apocalyptic number.

13332022330420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332022330420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613656238720).

13332022330420 is an abundant number, since it is smaller than the sum of its proper divisors (15895290147020).

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

13332022330420 is a wasteful number, since it uses less digits than its factorization.

13332022330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385225 (or 385223 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 13332022330420 its reverse (2403322023331), we get a palindrome (15735344353751).

The spelling of 13332022330420 in words is "thirteen trillion, three hundred thirty-two billion, twenty-two million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 53 86 106 172 212 215 265 430 530 761 860 1060 1522 2279 3044 3805 4558 7610 9116 11395 15220 22790 32723 40333 45580 65446 80666 130892 161332 163615 201665 327230 384359 403330 654460 768718 806660 1537436 1734319 1921795 3468638 3843590 6937276 7687180 8671595 16527437 17343190 20371027 33054874 34686380 40742054 66109748 81484108 82637185 101855135 165274370 203710270 292497199 330548740 407420540 584994398 875954161 1169988796 1462485995 1751908322 2924971990 3503816644 4379770805 5849943980 8759541610 12577379557 15502351547 17519083220 25154759114 31004703094 50309518228 62009406188 62886897785 77511757735 125773795570 155023515470 251547591140 310047030940 666601116521 1333202233042 2666404466084 3333005582605 6666011165210 13332022330420