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11120000002111 = 7111317768785009
BaseRepresentation
bin1010000111010001001110…
…1001100110100000111111
31110101001122220211101201001
42201310103221212200333
52424142230000031421
635352242452031131
72225251652315020
oct241642351464077
943331586741631
1011120000002111
1135a7a69115680
1212b71696024a7
136287c460c370
142a62d48bcc47
151443cb660691
hexa1d13a6683f

11120000002111 has 64 divisors (see below), whose sum is σ = 15810848040960. Its totient is φ = 7526839541760.

The previous prime is 11120000002091. The next prime is 11120000002129.

11120000002111 is nontrivially palindromic in base 10.

11120000002111 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 11120000002111 - 29 = 11120000001599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120000042111) 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, 130767175 + ... + 130852183.

It is an arithmetic number, because the mean of its divisors is an integer number (247044500640).

Almost surely, 211120000002111 is an apocalyptic number.

11120000002111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11120000002111 is a deficient number, since it is larger than the sum of its proper divisors (4690848038849).

11120000002111 is a wasteful number, since it uses less digits than its factorization.

11120000002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92744.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1112000000 and 2111, that added together give a palindrome (1112002111).

The spelling of 11120000002111 in words is "eleven trillion, one hundred twenty billion, two thousand, one hundred eleven".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 1001 1309 1547 2431 7687 17017 53809 84557 85009 99931 130679 591899 595063 699517 914753 935099 1099241 1105117 1437469 1445153 1698827 6545693 7694687 7735819 10062283 10116071 11891789 12156287 15896683 18687097 18786989 85094009 111276781 130809679 131508923 206656879 653464183 1446598153 4574249281 7188106013 8495034379 11108891111 50316742091 59465240653 77762237777 93445378169 122197802221 144415584443 654117647183 855384615547 1010909091101 1588571428873 11120000002111