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11121231121 = 7112133121051
BaseRepresentation
bin10100101101110000…
…01000010100010001
31001201001120002001221
422112320020110101
5140234013343441
65035314325041
7542410622230
oct122670102421
931631502057
1011121231121
114797710600
1221a4589781
131083092a40
1477702ab17
154515398d1
hex296e08511

11121231121 has 72 divisors (see below), whose sum is σ = 15560897856. Its totient is φ = 7733880000.

The previous prime is 11121231103. The next prime is 11121231151. The reversal of 11121231121 is 12113212111.

It is a happy number.

It is not a de Polignac number, because 11121231121 - 25 = 11121231089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11121231095 and 11121231104.

It is not an unprimeable number, because it can be changed into a prime (11121231151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10581046 + ... + 10582096.

Almost surely, 211121231121 is an apocalyptic number.

11121231121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11121231121 is a deficient number, since it is larger than the sum of its proper divisors (4439666735).

11121231121 is a wasteful number, since it uses less digits than its factorization.

11121231121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1113 counting only the distinct ones).

The product of its digits is 24, while the sum is 16.

Adding to 11121231121 its reverse (12113212111), we get a palindrome (23234443232).

It can be divided in two parts, 11121 and 231121, that added together give a palindrome (242242).

The spelling of 11121231121 in words is "eleven billion, one hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 7 11 13 31 77 91 121 143 217 341 403 847 961 1001 1051 1573 2387 2821 3751 4433 6727 7357 10571 11011 11561 12493 13663 26257 31031 32581 48763 73997 80927 87451 95641 116281 127171 137423 150293 228067 341341 358391 423553 813967 890197 961961 1010011 1052051 1511653 1653223 2508737 2964871 3942301 4659083 7070077 10581571 11110121 11572561 13130143 27596107 32613581 51249913 77770847 91911001 122211331 144431573 358749391 855479317 1011021011 1588747303 11121231121