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11314304001 = 32711131996311
BaseRepresentation
bin10101000100110001…
…01001010000000001
31002012111212012021100
422202120221100001
5141132430212001
65110412445013
7550243666020
oct124230512001
932174765240
1011314304001
1148866a2070
122239179769
1310b4093050
147949288b7
15463476586
hex2a2629401

11314304001 has 96 divisors (see below), whose sum is σ = 22056652800. Its totient is φ = 5397321600.

The previous prime is 11314303991. The next prime is 11314304017. The reversal of 11314304001 is 10040341311.

It is not a de Polignac number, because 11314304001 - 27 = 11314303873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11314304021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1789636 + ... + 1795946.

It is an arithmetic number, because the mean of its divisors is an integer number (229756800).

Almost surely, 211314304001 is an apocalyptic number.

11314304001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11314304001 is a deficient number, since it is larger than the sum of its proper divisors (10742348799).

11314304001 is a wasteful number, since it uses less digits than its factorization.

11314304001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11314304001 its reverse (10040341311), we get a palindrome (21354645312).

The spelling of 11314304001 in words is "eleven billion, three hundred fourteen million, three hundred four thousand, one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 199 231 273 429 597 693 819 1001 1287 1393 1791 2189 2587 3003 4179 6311 6567 7761 9009 12537 15323 18109 18933 19701 23283 28457 44177 45969 54327 56799 69421 82043 85371 132531 137907 162981 199199 208263 246129 256113 397593 485947 574301 597597 624789 738387 902473 1255889 1457841 1722903 1792791 2707419 3767667 4373523 5168709 6317311 8122257 8791223 11303001 13814779 16326557 18951933 26373669 41444337 48979671 56855799 79121007 96703453 114285899 124333011 146939013 179592127 290110359 342857697 538776381 870331077 1028573091 1257144889 1616329143 3771434667 11314304001