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11402244220411 = 1141731372527961
BaseRepresentation
bin1010010111101100101010…
…1101110110010111111011
31111101001012000010020221201
42211323022231312113323
52443303244010023121
640130041345115031
72254533145510102
oct245731255662773
944331160106851
1011402244220411
1136a6734674320
1213419b8628a77
136492c49a7565
142b5c2b807039
1514b8ea106e91
hexa5ecab765fb

11402244220411 has 32 divisors (see below), whose sum is σ = 13011036163776. Its totient is φ = 9901513728000.

The previous prime is 11402244220357. The next prime is 11402244220441.

11402244220411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11402244220411 is a prime.

It is a super-2 number, since 2×114022442204112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11402244220411.

It is not an unprimeable number, because it can be changed into a prime (11402244220441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3246471 + ... + 5774431.

It is an arithmetic number, because the mean of its divisors is an integer number (406594880118).

Almost surely, 211402244220411 is an apocalyptic number.

11402244220411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11402244220411 is a deficient number, since it is larger than the sum of its proper divisors (1608791943365).

11402244220411 is a wasteful number, since it uses less digits than its factorization.

11402244220411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528223.

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 1140224 and 4220411, that added together give a palindrome (5360635).

The spelling of 11402244220411 in words is "eleven trillion, four hundred two billion, two hundred forty-four million, two hundred twenty thousand, four hundred eleven".

Divisors: 1 11 41 73 137 451 803 1507 2993 5617 10001 32923 61787 110011 410041 2527961 4510451 27807571 103646401 184541153 346330657 1140110411 2029952683 3809637227 7566187273 14199556937 25282137961 83228060003 156195126307 278103517571 1036567656401 11402244220411