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2322013130320 = 245138093275881
BaseRepresentation
bin100001110010100010110…
…001001000111001010000
322012222112002100202121011
4201302202301020321100
5301020440330132240
64534415035540304
7326521435644052
oct41624261107120
98188462322534
102322013130320
1181583a971774
123160315ba694
1313ac70b61580
14805593cd8d2
15406030106ea
hex21ca2c48e50

2322013130320 has 80 divisors (see below), whose sum is σ = 5814703116432. Its totient is φ = 857249648640.

The previous prime is 2322013130303. The next prime is 2322013130357. The reversal of 2322013130320 is 230313102232.

It can be written as a sum of positive squares in 8 ways, for example, as 9740110864 + 2312273019456 = 98692^2 + 1520616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2322013130291 and 2322013130300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8278780 + ... + 8554660.

Almost surely, 22322013130320 is an apocalyptic number.

2322013130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2322013130320 is an abundant number, since it is smaller than the sum of its proper divisors (3492689986112).

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

2322013130320 is a wasteful number, since it uses less digits than its factorization.

2322013130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284000 (or 283994 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2322013130320 its reverse (230313102232), we get a palindrome (2552326232552).

The spelling of 2322013130320 in words is "two trillion, three hundred twenty-two billion, thirteen million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 8093 16186 32372 40465 64744 80930 105209 129488 161860 210418 275881 323720 420836 526045 551762 647440 841672 1052090 1103524 1379405 1683344 2104180 2207048 2758810 3586453 4208360 4414096 5517620 7172906 8416720 11035240 14345812 17932265 22070480 28691624 35864530 57383248 71729060 143458120 286916240 2232704933 4465409866 8930819732 11163524665 17861639464 22327049330 29025164129 35723278928 44654098660 58050328258 89308197320 116100656516 145125820645 178616394640 232201313032 290251641290 464402626064 580503282580 1161006565160 2322013130320