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11014212210012 = 22331112037770227
BaseRepresentation
bin1010000001000111001000…
…1101001100110101011100
31102222221121101102202022000
42200101302031030311130
52420424101311210022
635231505332322300
72214515306032044
oct240216215146534
942887541382260
1011014212210012
11356711271a720
12129a765473390
1361b8359a398b
142a113accc724
151417892596ac
hexa047234cd5c

11014212210012 has 96 divisors (see below), whose sum is σ = 31153935671040. Its totient is φ = 3337358448960.

The previous prime is 11014212209947. The next prime is 11014212210031. The reversal of 11014212210012 is 21001221241011.

11014212210012 is a `hidden beast` number, since 1 + 10 + 1 + 421 + 221 + 0 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13914843 + ... + 14685069.

It is an arithmetic number, because the mean of its divisors is an integer number (324520163240).

Almost surely, 211014212210012 is an apocalyptic number.

11014212210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11014212210012 is an abundant number, since it is smaller than the sum of its proper divisors (20139723461028).

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

11014212210012 is a wasteful number, since it uses less digits than its factorization.

11014212210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782288 (or 782280 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11014212210012 its reverse (21001221241011), we get a palindrome (32015433451023).

The spelling of 11014212210012 in words is "eleven trillion, fourteen billion, two hundred twelve million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 12037 24074 36111 48148 72222 108333 132407 144444 216666 264814 324999 397221 433332 529628 649998 770227 794442 1191663 1299996 1540454 1588884 2310681 2383326 3080908 3574989 4621362 4766652 6932043 7149978 8472497 9242724 13864086 14299956 16944994 20796129 25417491 27728172 33889988 41592258 50834982 76252473 83184516 101669964 152504946 228757419 305009892 457514838 915029676 9271222399 18542444798 27813667197 37084889596 55627334394 83441001591 101983446389 111254668788 166882003182 203966892778 250323004773 305950339167 333764006364 407933785556 500646009546 611900678334 917851017501 1001292019092 1223801356668 1835702035002 2753553052503 3671404070004 5507106105006 11014212210012