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11045254011 = 31121071991429
BaseRepresentation
bin10100100100101100…
…10011001101111011
31001111202121001001220
422102112103031323
5140110041112021
65024002043123
7540466052511
oct122226231573
931452531056
1011045254011
114758837900
1221830494a3
13107041077c
1476acd04b1
15449a2ccc6
hex29259337b

11045254011 has 48 divisors (see below), whose sum is σ = 16432416000. Its totient is φ = 6593590080.

The previous prime is 11045253997. The next prime is 11045254013.

11045254011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11045254011 - 27 = 11045253883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11045254013) 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, 7728645 + ... + 7730073.

It is an arithmetic number, because the mean of its divisors is an integer number (342342000).

Almost surely, 211045254011 is an apocalyptic number.

11045254011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11045254011 is a deficient number, since it is larger than the sum of its proper divisors (5387161989).

11045254011 is a wasteful number, since it uses less digits than its factorization.

11045254011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 11045254011 in words is "eleven billion, forty-five million, two hundred fifty-four thousand, eleven".

Divisors: 1 3 11 33 107 121 199 321 363 597 1177 1429 2189 3531 4287 6567 12947 15719 21293 24079 38841 47157 63879 72237 152903 172909 234223 284371 458709 518727 702669 853113 1681933 2576453 3128081 5045799 7729359 9384243 18501263 30427697 34408891 55503789 91283091 103226673 334704667 1004114001 3681751337 11045254011