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12103242404214 = 23131723398999487
BaseRepresentation
bin1011000000100000000101…
…1101101101000101110110
31120212001120202212122110010
42300020001131231011312
53041244420023413324
641424053001041050
72356300425661353
oct260100135550566
946761522778403
1012103242404214
113946a57896205
121435833486186
1369a43bb96ab0
142dbb2b50562a
1515ec76b32829
hexb020176d176

12103242404214 has 128 divisors (see below), whose sum is σ = 28809559941120. Its totient is φ = 3351745419264.

The previous prime is 12103242404189. The next prime is 12103242404219. The reversal of 12103242404214 is 41240424230121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103242404219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121606779 + ... + 121706265.

It is an arithmetic number, because the mean of its divisors is an integer number (225074687040).

Almost surely, 212103242404214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103242404214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14404779970560).

12103242404214 is an abundant number, since it is smaller than the sum of its proper divisors (16706317536906).

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

12103242404214 is a wasteful number, since it uses less digits than its factorization.

12103242404214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103534.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12103242404214 its reverse (41240424230121), we get a palindrome (53343666634335).

The spelling of 12103242404214 in words is "twelve trillion, one hundred three billion, two hundred forty-two million, four hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 102 138 221 299 391 442 598 663 782 897 1173 1326 1794 2346 3989 5083 7978 10166 11967 15249 23934 30498 51857 67813 91747 99487 103714 135626 155571 183494 198974 203439 275241 298461 311142 406878 550482 596922 881569 1192711 1293331 1559699 1691279 1763138 2288201 2385422 2586662 2644707 3119398 3382558 3578133 3879993 4576402 4679097 5073837 5289414 6864603 7156266 7759986 9358194 10147674 13729206 20276087 21986627 29746613 38899417 40552174 43973254 59493226 60828261 65959881 77798834 89239839 116698251 121656522 131919762 178479678 233396502 396853643 505692421 793707286 1011384842 1190560929 1517077263 2381121858 3034154526 5159097359 6746511931 9127633789 10318194718 13493023862 15477292077 18255267578 20239535793 27382901367 30954584154 40479071586 54765802734 87704655103 118659239257 155169774413 175409310206 237318478514 263113965309 310339548826 355977717771 465509323239 526227930618 711955435542 931018646478 2017207067369 4034414134738 6051621202107 12103242404214