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2231113010320 = 245612391912951
BaseRepresentation
bin100000011101111000101…
…100101100110010010000
321220021220002202012222001
4200131320230230302100
5243023304412312240
64424543102523344
7320123026451665
oct40357054546220
97807802665861
102231113010320
11790234147157
123004a3296554
1313251570310c
1479db4b43a6c
153d082b3189a
hex20778b2cc90

2231113010320 has 80 divisors (see below), whose sum is σ = 5294438991360. Its totient is φ = 874141632000.

The previous prime is 2231113010303. The next prime is 2231113010351. The reversal of 2231113010320 is 230103111322.

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

It is a super-3 number, since 3×22311130103203 (a number of 38 digits) contains 333 as substring.

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, 209845 + ... + 2122795.

It is an arithmetic number, because the mean of its divisors is an integer number (66180487392).

Almost surely, 22231113010320 is an apocalyptic number.

2231113010320 is a gapful number since it is divisible by the number (20) 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 2231113010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647219495680).

2231113010320 is an abundant number, since it is smaller than the sum of its proper divisors (3063325981040).

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

2231113010320 is a wasteful number, since it uses less digits than its factorization.

2231113010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913264 (or 1913258 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2231113010320 its reverse (230103111322), we get a palindrome (2461216121642).

The spelling of 2231113010320 in words is "two trillion, two hundred thirty-one billion, one hundred thirteen million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 239 244 305 478 488 610 956 976 1195 1220 1912 2390 2440 3824 4780 4880 9560 14579 19120 29158 58316 72895 116632 145790 233264 291580 583160 1166320 1912951 3825902 7651804 9564755 15303608 19129510 30607216 38259020 76518040 116690011 153036080 233380022 457195289 466760044 583450055 914390578 933520088 1166900110 1828781156 1867040176 2285976445 2333800220 3657562312 4571952890 4667600440 7315124624 9143905780 9335200880 18287811560 27888912629 36575623120 55777825258 111555650516 139444563145 223111301032 278889126290 446222602064 557778252580 1115556505160 2231113010320