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1220210313320 = 2354735311871549
BaseRepresentation
bin10001110000011010001…
…100111100100001101000
311022122120112222101212102
4101300122030330201220
5124442442320011240
62332320141432532
7154104643350215
oct21603214744150
94278515871772
101220210313320
11430540a02679
12178599b6b748
138b0b071ac9b
14430b6718b0c
1521b1914b815
hex11c1a33c868

1220210313320 has 128 divisors (see below), whose sum is σ = 2816016192000. Its totient is φ = 475637538816.

The previous prime is 1220210313319. The next prime is 1220210313323. The reversal of 1220210313320 is 233130120221.

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 = 1220210313292 and 1220210313301.

It is not an unprimeable number, because it can be changed into a prime (1220210313323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787739906 + ... + 787741454.

It is an arithmetic number, because the mean of its divisors is an integer number (22000126500).

Almost surely, 21220210313320 is an apocalyptic number.

1220210313320 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 1220210313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408008096000).

1220210313320 is an abundant number, since it is smaller than the sum of its proper divisors (1595805878680).

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

1220210313320 is a wasteful number, since it uses less digits than its factorization.

1220210313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1220210313320 its reverse (233130120221), we get a palindrome (1453340433541).

The spelling of 1220210313320 in words is "one trillion, two hundred twenty billion, two hundred ten million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 353 376 470 706 940 1187 1412 1549 1765 1880 2374 2824 3098 3530 4748 5935 6196 7060 7745 9496 11870 12392 14120 15490 16591 23740 30980 33182 47480 55789 61960 66364 72803 82955 111578 132728 145606 165910 223156 278945 291212 331820 364015 419011 446312 546797 557890 582424 663640 728030 838022 1093594 1115780 1456060 1676044 1838663 2095055 2187188 2231560 2733985 2912120 3352088 3677326 4190110 4374376 5467970 7354652 8380220 9193315 10935940 14709304 16760440 18386630 19693517 21871880 25699459 36773260 39387034 51398918 73546520 78774068 86417161 98467585 102797836 128497295 157548136 172834322 196935170 205595672 256994590 345668644 393870340 432085805 513989180 649048039 691337288 787740680 864171610 1027978360 1298096078 1728343220 2596192156 3245240195 3456686440 5192384312 6490480390 12980960780 25961921560 30505257833 61010515666 122021031332 152526289165 244042062664 305052578330 610105156660 1220210313320