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331002220322020 = 225135717222684181
BaseRepresentation
bin100101101000010110111010…
…1110000110001110011100100
31121101222111120211222211001011
41023100231311300301303210
5321341120021400301040
63131552153143112004
7126502056405304342
oct11320556560616344
91541874524884034
10331002220322020
1196516287186245
123115a545a42604
13112904b5b080c0
145ba4843076992
1528401d9c823ea
hex12d0b75c31ce4

331002220322020 has 48 divisors (see below), whose sum is σ = 748705193773488. Its totient is φ = 122194826196480.

The previous prime is 331002220321967. The next prime is 331002220322021. The reversal of 331002220322020 is 20223022200133.

It can be written as a sum of positive squares in 8 ways, for example, as 11452917934656 + 319549302387364 = 3384216^2 + 17875942^2 .

It is a junction number, because it is equal to n+sod(n) for n = 331002220321982 and 331002220322000.

It is not an unprimeable number, because it can be changed into a prime (331002220322021) 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, 109855671 + ... + 112828510.

It is an arithmetic number, because the mean of its divisors is an integer number (15598024870281).

Almost surely, 2331002220322020 is an apocalyptic number.

It is an amenable number.

331002220322020 is an abundant number, since it is smaller than the sum of its proper divisors (417702973451468).

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

331002220322020 is a wasteful number, since it uses less digits than its factorization.

331002220322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222689920 (or 222689918 counting only the distinct ones).

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

Adding to 331002220322020 its reverse (20223022200133), we get a palindrome (351225242522153).

The spelling of 331002220322020 in words is "three hundred thirty-one trillion, two billion, two hundred twenty million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5717 11434 22868 28585 57170 74321 114340 148642 297284 371605 743210 1486420 222684181 445368362 890736724 1113420905 2226841810 2894894353 4453683620 5789788706 11579577412 14474471765 28948943530 57897887060 1273085462777 2546170925554 5092341851108 6365427313885 12730854627770 16550111016101 25461709255540 33100222032202 66200444064404 82750555080505 165501110161010 331002220322020