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120013441101106 = 271719119325154499
BaseRepresentation
bin11011010010011011001110…
…100001100110110100110010
3120201221011200001120201100221
4123102123032201212310302
5111212300011410213411
61103125225210203254
734164453643515640
oct3322331641466462
9521834601521327
10120013441101106
1135270461837433
12115634aa72352a
1351c72b0000a37
14218c97821c190
15dd1c59689071
hex6d26ce866d32

120013441101106 has 128 divisors (see below), whose sum is σ = 220995661824000. Its totient is φ = 47714088960000.

The previous prime is 120013441101041. The next prime is 120013441101161. The reversal of 120013441101106 is 601101144310021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2202094645 + ... + 2202149143.

It is an arithmetic number, because the mean of its divisors is an integer number (1726528608000).

Almost surely, 2120013441101106 is an apocalyptic number.

120013441101106 is a deficient number, since it is larger than the sum of its proper divisors (100982220722894).

120013441101106 is a wasteful number, since it uses less digits than its factorization.

120013441101106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55160.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 120013441101106 its reverse (601101144310021), we get a palindrome (721114585411127).

The spelling of 120013441101106 in words is "one hundred twenty trillion, thirteen billion, four hundred forty-one million, one hundred one thousand, one hundred six".

Divisors: 1 2 7 14 17 34 119 191 193 238 251 382 386 502 1337 1351 1757 2674 2702 3247 3281 3514 4267 6494 6562 8534 22729 22967 29869 36863 45458 45934 47941 48443 54499 59738 73726 95882 96886 108998 258041 335587 339101 381493 516082 626671 671174 678202 762986 814997 823531 926483 1253342 1629994 1647062 1852966 4386697 5704979 5764717 6485381 8773394 9252613 10409309 10518307 11409958 11529434 12970762 13679249 18505226 20818618 21036614 27358498 64768291 72865163 73628149 95754743 129536582 145730326 147256298 157294421 176958253 178811219 191509486 232547233 314588842 353916506 357622438 465094466 1101060947 1238707771 1251678533 1627830631 2008996637 2202121894 2477415542 2503357066 2612736559 2640095057 3255661262 4017993274 5225473118 5280190114 14062976459 18289155913 18480665399 28125952918 34152942829 36578311826 36961330798 44416521503 44881615969 68305885658 88833043006 89763231938 239070599803 310915650521 314171311783 478141199606 504258155887 621831301042 628342623566 1008516311774 3529807091209 7059614182418 8572388650079 17144777300158 60006720550553 120013441101106