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11011111001212 = 22717213113974729
BaseRepresentation
bin1010000000111011100101…
…0111000001110001111100
31102222122121020222000120211
42200032321113001301330
52420401223404014322
635230233510522204
72214345411141010
oct240167127016174
942878536860524
1011011111001212
113565871112643
12129a03a966364
1361b46034469a
142a0d2509c540
15141656d72b77
hexa03b95c1c7c

11011111001212 has 144 divisors (see below), whose sum is σ = 23742330796800. Its totient is φ = 4375784724480.

The previous prime is 11011111001173. The next prime is 11011111001213. The reversal of 11011111001212 is 21210011111011.

It is a junction number, because it is equal to n+sod(n) for n = 11011111001192 and 11011111001201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011111001213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147309864 + ... + 147384592.

It is an arithmetic number, because the mean of its divisors is an integer number (164877297200).

Almost surely, 211011111001212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011111001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871165398400).

11011111001212 is an abundant number, since it is smaller than the sum of its proper divisors (12731219795588).

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

11011111001212 is a wasteful number, since it uses less digits than its factorization.

11011111001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75044 (or 75025 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11011111001212 its reverse (21210011111011), we get a palindrome (32221122112223).

The spelling of 11011111001212 in words is "eleven trillion, eleven billion, one hundred eleven million, one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 68 119 131 139 238 262 278 289 476 524 556 578 917 973 1156 1834 1946 2023 2227 2363 3668 3892 4046 4454 4726 8092 8908 9452 15589 16541 18209 31178 33082 36418 37859 40171 62356 66164 72836 74729 75718 80342 127463 149458 151436 160684 254926 265013 281197 298916 309553 509852 523103 530026 562394 619106 1046206 1060052 1124788 1238212 1270393 2092412 2166871 2540786 4333742 5081572 5262401 8667484 8892751 9789499 10387331 10524802 17785502 19578998 20774662 21049604 21596681 35571004 36836807 39157996 41549324 43193362 68526493 72711317 73673614 86386724 137052986 145422634 147347228 151176767 166421483 176584627 274105972 290845268 302353534 332842966 353169254 604707068 665685932 706338508 1164950381 1236092389 1360740361 2329900762 2472184778 2721480722 2829165211 3001938659 4659801524 4944369556 5442961444 5658330422 6003877318 9525182527 11316660844 12007754636 19050365054 19804156477 21013570613 23132586137 38100730108 39608312954 42027141226 46265172274 79216625908 84054282452 92530344548 161928102959 323856205918 393253964329 647712411836 786507928658 1573015857316 2752777750303 5505555500606 11011111001212