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412223313320 = 23573132311187
BaseRepresentation
bin1011111111110100110…
…11001001010110101000
31110102000112220000121222
411333322123021112220
523223213132011240
6513212304121212
741532164231000
oct5777233112650
91412015800558
10412223313320
1114990634a635
1267a84906208
132cb45b30710
1415d47711000
15aac9a7aeb5
hex5ffa6c95a8

412223313320 has 128 divisors (see below), whose sum is σ = 1164838752000. Its totient is φ = 130461827328.

The previous prime is 412223313301. The next prime is 412223313323. The reversal of 412223313320 is 23313322214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 412223313320.

It is not an unprimeable number, because it can be changed into a prime (412223313323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977234 + ... + 1333953.

It is an arithmetic number, because the mean of its divisors is an integer number (9100302750).

Almost surely, 2412223313320 is an apocalyptic number.

412223313320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412223313320 is an abundant number, since it is smaller than the sum of its proper divisors (752615438680).

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

412223313320 is a wasteful number, since it uses less digits than its factorization.

412223313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311232 (or 2311214 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 412223313320 its reverse (23313322214), we get a palindrome (435536635534).

The spelling of 412223313320 in words is "four hundred twelve billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 343 364 392 455 490 520 637 686 728 910 980 1274 1372 1715 1820 1960 2548 2744 3185 3430 3640 4459 5096 6370 6860 8918 12740 13720 17836 22295 25480 35672 44590 89180 178360 2311187 4622374 9244748 11555935 16178309 18489496 23111870 30045431 32356618 46223740 60090862 64713236 80891545 92447480 113248163 120181724 129426472 150227155 161783090 210318017 226496326 240363448 300454310 323566180 420636034 452992652 566240815 600908620 647132360 792737141 841272068 905985304 1051590085 1132481630 1201817240 1472226119 1585474282 1682544136 2103180170 2264963260 2944452238 3170948564 3963685705 4206360340 4529926520 5888904476 6341897128 7361130595 7927371410 8412720680 10305582833 11777808952 14722261190 15854742820 20611165666 29444522380 31709485640 41222331332 51527914165 58889044760 82444662664 103055828330 206111656660 412223313320