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214244402332103 = 11133711322710971439
BaseRepresentation
bin110000101101101010101001…
…011111110000000111000111
31001002120120020202122212122222
4300231222221133300013013
5211040140013444111403
62035354304130442555
763061435004353433
oct6055525137600707
91032516222585588
10214244402332103
11622a05a485a470
1220042000a3345b
139271211682b90
143ac96ad2a59c3
1519b7ec6643338
hexc2daa97f01c7

214244402332103 has 128 divisors (see below), whose sum is σ = 262359871119360. Its totient is φ = 172337444536320.

The previous prime is 214244402332069. The next prime is 214244402332141. The reversal of 214244402332103 is 301233204442412.

It is a happy number.

It is not a de Polignac number, because 214244402332103 - 214 = 214244402315719 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214244402331103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148884226058 + ... + 148884227496.

It is an arithmetic number, because the mean of its divisors is an integer number (2049686493120).

Almost surely, 2214244402332103 is an apocalyptic number.

214244402332103 is a deficient number, since it is larger than the sum of its proper divisors (48115468787257).

214244402332103 is a wasteful number, since it uses less digits than its factorization.

214244402332103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937.

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 214244402332103 its reverse (301233204442412), we get a palindrome (515477606774515).

The spelling of 214244402332103 in words is "two hundred fourteen trillion, two hundred forty-four billion, four hundred two million, three hundred thirty-two thousand, one hundred three".

Divisors: 1 11 13 37 113 143 227 407 481 1097 1243 1439 1469 2497 2951 4181 5291 8399 12067 14261 15829 16159 18707 25651 32461 40589 45991 53243 54353 92389 109187 123961 156871 162607 205777 249019 282161 326653 333463 446479 527657 585673 597883 692159 949087 1201057 1363571 1578583 1611493 1788677 2113891 2739209 3237247 3593183 3668093 4246489 4586557 5804227 6016459 7613749 9213703 10439957 12086161 12338131 17364413 17726423 20521579 23252801 28139147 35609717 36911789 46711379 50452127 58407571 59625241 66181049 78213967 101350733 119778139 132947771 135719441 157120093 178379879 225737369 309530617 358338341 365808911 406029679 479853257 642483281 655877651 759298423 860353637 1041148439 1317559529 1365736193 1728321023 1962178669 2318938427 3941721751 4023898021 4658398433 5278385827 6600055523 8352282653 11452632829 13258518617 13534929707 15023098123 17754570509 25508322697 40492232533 51242382763 72600610753 85800721799 145843704787 148884226777 172360742021 195300275599 445414557863 526399022929 943807939789 1498212603721 1895968162231 5790389252219 16480338640931 19476763848373 214244402332103