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120020330320 = 245112942111171
BaseRepresentation
bin110111111000111000…
…1001110011101010000
3102110210102102111110021
41233301301032131100
53431300201032240
6131045300113224
711446133655322
oct1576161163520
9373712374407
10120020330320
114699a390640
121b316695814
13b419484c47
145b47d19612
1531c6b6e54a
hex1bf1c4e750

120020330320 has 160 divisors (see below), whose sum is σ = 315688544640. Its totient is φ = 42034944000.

The previous prime is 120020330279. The next prime is 120020330347. The reversal of 120020330320 is 23033020021.

It is a super-2 number, since 2×1200203303202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120020330294 and 120020330303.

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, 10738335 + ... + 10749505.

It is an arithmetic number, because the mean of its divisors is an integer number (1973053404).

Almost surely, 2120020330320 is an apocalyptic number.

120020330320 is a gapful number since it is divisible by the number (10) 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 120020330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157844272320).

120020330320 is an abundant number, since it is smaller than the sum of its proper divisors (195668214320).

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

120020330320 is a wasteful number, since it uses less digits than its factorization.

120020330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11645 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 120020330320 its reverse (23033020021), we get a palindrome (143053350341).

The spelling of 120020330320 in words is "one hundred twenty billion, twenty million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 421 440 464 580 638 842 880 1160 1276 1595 1684 2105 2320 2552 3190 3368 4210 4631 5104 6380 6736 8420 9262 11171 12209 12760 16840 18524 22342 23155 24418 25520 33680 37048 44684 46310 48836 55855 61045 74096 89368 92620 97672 111710 122090 122881 134299 178736 185240 195344 223420 244180 245762 268598 323959 370480 446840 488360 491524 537196 614405 647918 671495 893680 976720 983048 1074392 1228810 1295836 1342990 1619795 1966096 2148784 2457620 2591672 2685980 3239590 3563549 4702991 4915240 5183344 5371960 6479180 7127098 9405982 9830480 10743920 12958360 14254196 17817745 18811964 23514955 25916720 28508392 35635490 37623928 47029910 51732901 57016784 71270980 75247856 94059820 103465802 136386739 142541960 188119640 206931604 258664505 272773478 285083920 376239280 413863208 517329010 545546956 681933695 827726416 1034658020 1091093912 1363867390 1500254129 2069316040 2182187824 2727734780 3000508258 4138632080 5455469560 6001016516 7501270645 10910939120 12002033032 15002541290 24004066064 30005082580 60010165160 120020330320