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320110223420 = 2251337147122621
BaseRepresentation
bin1001010100010000000…
…11100110000000111100
31010121021000212020002202
410222020003212000330
520221041204122140
6403020121011032
732061426001331
oct4521003460074
91117230766082
10320110223420
1111383796a859
1252058323a78
13242562b94b0
14116c9d1a988
1584d7e4d915
hex4a880e603c

320110223420 has 96 divisors (see below), whose sum is σ = 744045904896. Its totient is φ = 114916838400.

The previous prime is 320110223359. The next prime is 320110223449. The reversal of 320110223420 is 24322011023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 320110223392 and 320110223401.

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, 14139710 + ... + 14162330.

It is an arithmetic number, because the mean of its divisors is an integer number (7750478176).

Almost surely, 2320110223420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320110223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372022952448).

320110223420 is an abundant number, since it is smaller than the sum of its proper divisors (423935681476).

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

320110223420 is a wasteful number, since it uses less digits than its factorization.

320110223420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24151 (or 24149 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 320110223420 its reverse (24322011023), we get a palindrome (344432234443).

The spelling of 320110223420 in words is "three hundred twenty billion, one hundred ten million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1471 1924 2405 2942 4810 5884 7355 9620 14710 19123 22621 29420 38246 45242 54427 76492 90484 95615 108854 113105 191230 217708 226210 272135 294073 382460 452420 544270 588146 707551 836977 1088540 1176292 1415102 1470365 1673954 2830204 2940730 3347908 3537755 4184885 5881460 7075510 8369770 10880701 14151020 16739540 21761402 33275491 43522804 54403505 66550982 108807010 133101964 166377455 217614020 332754910 432581383 665509820 865162766 1231193167 1730325532 2162906915 2462386334 4325813830 4924772668 6155965835 8651627660 12311931670 16005511171 24623863340 32011022342 64022044684 80027555855 160055111710 320110223420