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11144224010003 = 74724096412749
BaseRepresentation
bin1010001000101011011110…
…0000110110111100010011
31110110101012010120111110112
42202022313200312330103
52430041332321310003
635411330312351535
72230100155063520
oct242126740667423
943411163514415
1011144224010003
113607269a19307
1212bb9aa0a55ab
1362ab8514a446
142a7551b8a147
15144d4814e3d8
hexa22b7836f13

11144224010003 has 48 divisors (see below), whose sum is σ = 13069925880000. Its totient is φ = 9308159262720.

The previous prime is 11144224009973. The next prime is 11144224010009. The reversal of 11144224010003 is 30001042244111.

11144224010003 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 11144224010003 - 240 = 10044712382227 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11144224010009) 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, 4053917873 + ... + 4053920621.

It is an arithmetic number, because the mean of its divisors is an integer number (272290122500).

Almost surely, 211144224010003 is an apocalyptic number.

11144224010003 is a deficient number, since it is larger than the sum of its proper divisors (1925701869997).

11144224010003 is an equidigital number, since it uses as much as digits as its factorization.

11144224010003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11144224010003 its reverse (30001042244111), we get a palindrome (41145266254114).

The spelling of 11144224010003 in words is "eleven trillion, one hundred forty-four billion, two hundred twenty-four million, ten thousand, three".

Divisors: 1 7 47 329 409 641 2209 2749 2863 4487 15463 19223 19243 30127 129203 134561 210889 262169 903481 904421 1124341 1415969 1762109 1835183 6072541 6324367 7870387 9911783 12321943 12334763 42507787 52844027 82819123 86253601 369908189 579131321 579733861 720702581 2483669269 3892498781 4053919247 5044918067 17385684883 27247491467 33873021307 237111149149 1592032001429 11144224010003