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12031213011103 = 11133741438211571
BaseRepresentation
bin1010111100010011110000…
…1011011000000010011111
31120121011122220212100120201
42233010330023120002133
53034104411012323403
641331021333124331
72351140450146616
oct257047413300237
946534586770521
1012031213011103
113919455101050
121423890a896a7
13693700183420
142d845718287d
1515ce5d2a521d
hexaf13c2d809f

12031213011103 has 128 divisors (see below), whose sum is σ = 15244711308288. Its totient is φ = 9343434240000.

The previous prime is 12031213011011. The next prime is 12031213011107. The reversal of 12031213011103 is 30111031213021.

12031213011103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12031213011103 - 213 = 12031213002911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031213011107) 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, 7658314308 + ... + 7658315878.

It is an arithmetic number, because the mean of its divisors is an integer number (119099307096).

Almost surely, 212031213011103 is an apocalyptic number.

12031213011103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12031213011103 is a deficient number, since it is larger than the sum of its proper divisors (3213498297185).

12031213011103 is a wasteful number, since it uses less digits than its factorization.

12031213011103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12031213011103 its reverse (30111031213021), we get a palindrome (42142244224124).

The spelling of 12031213011103 in words is "twelve trillion, thirty-one billion, two hundred thirteen million, eleven thousand, one hundred three".

Divisors: 1 11 13 37 41 43 143 407 451 473 481 533 559 821 1517 1571 1591 1763 5291 5863 6149 9031 10673 16687 17281 17501 19393 19721 20423 20683 22919 30377 33661 35303 58127 64411 65231 67553 117403 216931 224653 227513 252109 334147 370271 388333 394901 437593 458939 639397 708521 717541 743083 755651 837343 848003 878189 1245457 1289791 1306211 1447423 2383207 2499461 2769673 4343911 4813523 5048329 8312161 9210773 9328033 9660079 13700027 14187701 14368321 15921653 16190941 16767283 16980743 18816499 26215277 27494071 30466403 30981691 32492993 36005749 47722267 52881431 53554651 55461013 102477901 178100351 184440113 186788173 206981489 340798601 357422923 396063239 524944937 581695741 589101161 610071143 620389471 687458603 696210463 720993169 1127256911 1332212713 1956612947 2052057481 2273901533 6824284181 7562044633 7658315093 7930924859 14654339843 21522742417 22572632291 25012916863 25435968311 26676747253 29560719929 84134356721 279795651421 293444219783 325167919219 925477923931 1093746637373 12031213011103