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11133333003 = 3134373199457
BaseRepresentation
bin10100101111001100…
…10010111000001011
31001201220022220201210
422113212102320023
5140300113124003
65040425544203
7542615524542
oct122746227013
931656286653
1011133333003
1147a3526961
1221a8645063
13108573c210
1477889b159
1545262a503
hex297992e0b

11133333003 has 64 divisors (see below), whose sum is σ = 16701977600. Its totient is φ = 6552741888.

The previous prime is 11133332971. The next prime is 11133333007. The reversal of 11133333003 is 30033333111.

11133333003 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 11133333003 - 25 = 11133332971 is a prime.

It is a super-2 number, since 2×111333330032 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11133333007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24361551 + ... + 24362007.

It is an arithmetic number, because the mean of its divisors is an integer number (260968400).

Almost surely, 211133333003 is an apocalyptic number.

11133333003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11133333003 is a deficient number, since it is larger than the sum of its proper divisors (5568644597).

11133333003 is a wasteful number, since it uses less digits than its factorization.

11133333003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 11133333003 its reverse (30033333111), we get a palindrome (41166666114).

The spelling of 11133333003 in words is "eleven billion, one hundred thirty-three million, three hundred thirty-three thousand, three".

Divisors: 1 3 13 39 43 73 129 199 219 457 559 597 949 1371 1677 2587 2847 3139 5941 7761 8557 9417 14527 17823 19651 25671 33361 40807 43581 58953 90943 100083 111241 122421 188851 255463 272829 333723 433693 566553 624661 766389 1182259 1301079 1434523 1873983 3546777 3910549 4303569 6638839 8120593 11731647 18648799 19916517 24361779 50837137 55946397 86304907 152511411 258914721 285470077 856410231 3711111001 11133333003