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11144330044211 = 7133761257211129
BaseRepresentation
bin1010001000101011110111…
…0101010110001100110011
31110110101110112002121001102
42202022331311112030303
52430042041442403321
635411345021155015
72230102613260250
oct242127565261463
943411415077042
1011144330044211
113607313861391
1212bba196bba6b
1362aba10c4690
142a7561cac427
15144d525e6c0b
hexa22bdd56333

11144330044211 has 64 divisors (see below), whose sum is σ = 14373514202880. Its totient is φ = 8405664399360.

The previous prime is 11144330044181. The next prime is 11144330044231. The reversal of 11144330044211 is 11244003344111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11144330044211 - 218 = 11144329782067 is a prime.

It is a super-2 number, since 2×111443300442112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11144330044231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52678895 + ... + 52890023.

It is an arithmetic number, because the mean of its divisors is an integer number (224586159420).

Almost surely, 211144330044211 is an apocalyptic number.

11144330044211 is a deficient number, since it is larger than the sum of its proper divisors (3229184158669).

11144330044211 is a wasteful number, since it uses less digits than its factorization.

11144330044211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211504.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 11144330044211 its reverse (11244003344111), we get a palindrome (22388333388322).

The spelling of 11144330044211 in words is "eleven trillion, one hundred forty-four billion, three hundred thirty million, forty-four thousand, two hundred eleven".

Divisors: 1 7 13 37 61 91 257 259 427 481 793 1799 2257 3341 3367 5551 9509 15677 15799 23387 29341 66563 109739 123617 203801 205387 211129 580049 865319 1426607 1477903 2744677 4060343 7540637 7811773 12878869 19212739 52784459 54260153 54682411 90152083 101553049 167425297 379821071 476518153 705381989 710871343 1171977079 2007625661 3309869333 3335627071 4937673923 6194735989 14053379627 23169085331 26099133593 43028301329 43363151923 122465165321 182693935151 301198109303 857256157247 1592047149173 11144330044211