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220120344063210 = 2351716310289257353
BaseRepresentation
bin110010000011001011000010…
…111010100110110011101010
31001212101022002020200101201110
4302003023002322212303222
5212322422431040010320
62100053520130331150
764236112220111523
oct6203130272466352
91055338066611643
10220120344063210
1164156571775268
1220830969a29ab6
1395a934ab14b76
143c4dc4ab8b84a
151a6ac7e1e05e0
hexc832c2ea6cea

220120344063210 has 128 divisors (see below), whose sum is σ = 562853209847040. Its totient is φ = 54901408628736.

The previous prime is 220120344063209. The next prime is 220120344063251. The reversal of 220120344063210 is 12360443021022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 855195894 + ... + 855453246.

It is an arithmetic number, because the mean of its divisors is an integer number (4397290701930).

Almost surely, 2220120344063210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220120344063210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281426604923520).

220120344063210 is an abundant number, since it is smaller than the sum of its proper divisors (342732865783830).

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

220120344063210 is a wasteful number, since it uses less digits than its factorization.

220120344063210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267832.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 220120344063210 its reverse (12360443021022), we get a palindrome (232480787084232).

The spelling of 220120344063210 in words is "two hundred twenty trillion, one hundred twenty billion, three hundred forty-four million, sixty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 163 170 255 326 489 510 815 978 1630 2445 2771 4890 5542 8313 10289 13855 16626 20578 27710 30867 41565 51445 61734 83130 102890 154335 174913 257353 308670 349826 514706 524739 772059 874565 1049478 1286765 1544118 1677107 1749130 2573530 2623695 3354214 3860295 4375001 5031321 5247390 7720590 8385535 8750002 10062642 13125003 16771070 21875005 25156605 26250006 28510819 41948539 43750010 50313210 57021638 65625015 83897078 85532457 125845617 131250030 142554095 171064914 209742695 251691234 285108190 419485390 427662285 629228085 713125163 855324570 1258456170 1426250326 2139375489 2647905017 3565625815 4278750978 5295810034 7131251630 7943715051 10696877445 13239525085 15887430102 21393754890 26479050170 39718575255 45014385289 79437150510 90028770578 135043155867 225071926445 270086311734 431608517771 450143852890 675215779335 863217035542 1294825553313 1350431558670 2158042588855 2589651106626 4316085177710 6474127766565 7337344802107 12948255533130 14674689604214 22012034406321 36686724010535 44024068812642 73373448021070 110060172031605 220120344063210