Search a number
-
+
330241200320020 = 225111977619778503
BaseRepresentation
bin100101100010110100100010…
…1011011110110111000010100
31121022021202021001121010212011
41023011221011123312320110
5321241132434240220040
63130210414003234004
7126363065542104343
oct11305510533667024
91538252231533764
10330241200320020
1196252563234a30
1231056b59978904
13112367c47bc802
145b79a8ba45b5a
15282a4e8b443ea
hex12c5a456f6e14

330241200320020 has 48 divisors (see below), whose sum is σ = 760392936471168. Its totient is φ = 119478126911360.

The previous prime is 330241200319963. The next prime is 330241200320029. The reversal of 330241200320020 is 20023002142033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 330241200319973 and 330241200320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330241200320029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3809845912 + ... + 3809932591.

It is an arithmetic number, because the mean of its divisors is an integer number (15841519509816).

Almost surely, 2330241200320020 is an apocalyptic number.

It is an amenable number.

330241200320020 is an abundant number, since it is smaller than the sum of its proper divisors (430151736151148).

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

330241200320020 is a wasteful number, since it uses less digits than its factorization.

330241200320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619778720 (or 7619778718 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 330241200320020 its reverse (20023002142033), we get a palindrome (350264202462053).

The spelling of 330241200320020 in words is "three hundred thirty trillion, two hundred forty-one billion, two hundred million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 788 985 1970 2167 3940 4334 8668 10835 21670 43340 7619778503 15239557006 30479114012 38098892515 76197785030 83817563533 152395570060 167635127066 335270254132 419087817665 838175635330 1501096365091 1676351270660 3002192730182 6004385460364 7505481825455 15010963650910 16512060016001 30021927301820 33024120032002 66048240064004 82560300080005 165120600160010 330241200320020