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122313422243105 = 523476710116212063
BaseRepresentation
bin11011110011111001010000…
…000101011000010100100001
3121001002001022200212111202122
4123303321100011120110201
5112012440342043234410
61112050002132154025
734522565424614642
oct3363712005302441
9531061280774678
10122313422243105
1135a77916174195
12118751b1768915
13533314c4c0312
14222c0035016c9
15e219bd34ce55
hex6f3e50158521

122313422243105 has 128 divisors (see below), whose sum is σ = 160499379142656. Its totient is φ = 89245867392000.

The previous prime is 122313422243063. The next prime is 122313422243113. The reversal of 122313422243105 is 501342224313221.

It is not a de Polignac number, because 122313422243105 - 26 = 122313422243041 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59289103304 + ... + 59289105366.

It is an arithmetic number, because the mean of its divisors is an integer number (1253901399552).

Almost surely, 2122313422243105 is an apocalyptic number.

It is an amenable number.

122313422243105 is a deficient number, since it is larger than the sum of its proper divisors (38185956899551).

122313422243105 is a wasteful number, since it uses less digits than its factorization.

122313422243105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927.

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 122313422243105 its reverse (501342224313221), we get a palindrome (623655646556326).

The spelling of 122313422243105 in words is "one hundred twenty-two trillion, three hundred thirteen billion, four hundred twenty-two million, two hundred forty-three thousand, one hundred five".

Divisors: 1 5 23 47 67 101 115 235 335 505 1081 1541 1621 2063 2323 3149 4747 5405 6767 7705 8105 10315 11615 15745 23735 33835 37283 47449 72427 76187 96961 108607 109181 138221 155641 163721 186415 208363 237245 318049 362135 380935 484805 543035 545905 691105 778205 818605 1041815 1590245 1752301 2230103 2497961 3179083 3344123 3765583 4792349 5104529 6496387 7315127 7694887 8761505 9793061 10969307 11150515 12489805 13960321 15895415 16720615 18827915 23961745 25522645 32481935 36575635 38474435 48965305 54846535 69801605 76914829 117404167 149416901 157173781 176982401 224056241 225240403 252294061 321087383 337756423 384574145 515557429 587020835 656135087 747084505 785868905 884912005 1120281205 1126202015 1261470305 1605436915 1688782115 2577787145 3280675435 3614996963 5153293543 7768397729 10530643327 11857820867 15091107001 15874551881 18074984815 22629680341 25766467715 38841988645 52653216635 59289104335 75455535005 79372759405 113148401705 242204796521 365114693263 520482647843 1063594976027 1211023982605 1825573466315 2602413239215 5317974880135 24462684448621 122313422243105