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21312222032300 = 22523171487198829
BaseRepresentation
bin1001101100010001000110…
…11011000111000110101100
32210110102120101201112021212
410312020203123013012230
510243134412320013200
6113154411042213552
74326520505166443
oct466104333070654
983412511645255
1021312222032300
11687750a801a71
1224825500542b8
13bb7970542444
14539734addd5a
1526e5a6c89035
hex1362236c71ac

21312222032300 has 144 divisors (see below), whose sum is σ = 48511415070720. Its totient is φ = 8116954272000.

The previous prime is 21312222032291. The next prime is 21312222032323. The reversal of 21312222032300 is 323022221312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107089286 + ... + 107288114.

It is an arithmetic number, because the mean of its divisors is an integer number (336884826880).

Almost surely, 221312222032300 is an apocalyptic number.

21312222032300 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 21312222032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24255707535360).

21312222032300 is an abundant number, since it is smaller than the sum of its proper divisors (27199193038420).

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

21312222032300 is a wasteful number, since it uses less digits than its factorization.

21312222032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199432 (or 199425 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 21312222032300 its reverse (323022221312), we get a palindrome (21635244253612).

The spelling of 21312222032300 in words is "twenty-one trillion, three hundred twelve billion, two hundred twenty-two million, thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 71 100 124 142 155 284 310 355 487 620 710 775 974 1420 1550 1775 1948 2201 2435 3100 3550 4402 4870 7100 8804 9740 11005 12175 15097 22010 24350 30194 34577 44020 48700 55025 60388 69154 75485 110050 138308 150970 172885 198829 220100 301940 345770 377425 397658 691540 754850 795316 864425 994145 1071887 1509700 1728850 1988290 2143774 3457700 3976580 4287548 4970725 5359435 6163699 9941450 10718870 12327398 14116859 19882900 21437740 24654796 26797175 28233718 30818495 53594350 56467436 61636990 70584295 96829723 107188700 123273980 141168590 154092475 193659446 282337180 308184950 352921475 387318892 437622629 484148615 616369900 705842950 875245258 968297230 1411685900 1750490516 1936594460 2188113145 2420743075 3001721413 4376226290 4841486150 6003442826 6874910333 8752452580 9682972300 10940565725 12006885652 13749820666 15008607065 21881131450 27499641332 30017214130 34374551665 43762262900 60034428260 68749103330 75043035325 137498206660 150086070650 171872758325 213122220323 300172141300 343745516650 426244440646 687491033300 852488881292 1065611101615 2131222203230 4262444406460 5328055508075 10656111016150 21312222032300