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13044023211303 = 3371932749110917
BaseRepresentation
bin1011110111010000110001…
…0111101011010100100111
31201011222220101221101011000
42331310030113223110213
53202203124420230203
643424201434444343
72514254024621250
oct275641427532447
951158811841130
1013044023211303
114179a37055a57
121568028b936b3
1373807a3c8386
14331496a69b27
1517948947b4a3
hexbdd0c5eb527

13044023211303 has 64 divisors (see below), whose sum is σ = 23248412800000. Its totient is φ = 7061146814592.

The previous prime is 13044023211251. The next prime is 13044023211311. The reversal of 13044023211303 is 30311232044031.

It is a happy number.

13044023211303 is a `hidden beast` number, since 1 + 3 + 0 + 440 + 2 + 3 + 211 + 3 + 0 + 3 = 666.

It is not a de Polignac number, because 13044023211303 - 221 = 13044021114151 is a prime.

It is a super-2 number, since 2×130440232113032 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044023211403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117546201 + ... + 117657117.

It is an arithmetic number, because the mean of its divisors is an integer number (363256450000).

Almost surely, 213044023211303 is an apocalyptic number.

13044023211303 is a deficient number, since it is larger than the sum of its proper divisors (10204389588697).

13044023211303 is a wasteful number, since it uses less digits than its factorization.

13044023211303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143701 (or 143695 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13044023211303 its reverse (30311232044031), we get a palindrome (43355255255334).

The spelling of 13044023211303 in words is "thirteen trillion, forty-four billion, twenty-three million, two hundred eleven thousand, three hundred three".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 32749 98247 110917 229243 294741 332751 622231 687729 776419 884223 998253 1866693 2063187 2107423 2329257 2994759 4355617 5600079 6189561 6322269 6987771 13066851 14751961 16800237 18966807 20963313 39200553 44255883 56900421 117601659 132767649 398302947 3632420833 10897262499 25426945831 32691787497 69015995827 76280837493 98075362491 207047987481 228842512479 483111970789 621143962443 686527537437 1449335912367 1863431887329 4348007737101 13044023211303