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112200011121 = 31137353260317
BaseRepresentation
bin110100001111110100…
…1000100110101110001
3101201121102010010021110
41220133221010311301
53314241200323441
6123313255343533
711051264234022
oct1503751046561
9351542103243
10112200011121
1143646a88020
12198b3681ba9
13a771233633
145605464c49
152dba317b16
hex1a1fa44d71

112200011121 has 32 divisors (see below), whose sum is σ = 168086291328. Its totient is φ = 65974487040.

The previous prime is 112200011111. The next prime is 112200011123. The reversal of 112200011121 is 121110002211.

It is not a de Polignac number, because 112200011121 - 29 = 112200010609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112200011097 and 112200011106.

It is not an unprimeable number, because it can be changed into a prime (112200011123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300855 + ... + 561171.

It is an arithmetic number, because the mean of its divisors is an integer number (5252696604).

Almost surely, 2112200011121 is an apocalyptic number.

112200011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112200011121 is a deficient number, since it is larger than the sum of its proper divisors (55886280207).

112200011121 is a wasteful number, since it uses less digits than its factorization.

112200011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260721.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112200011121 its reverse (121110002211), we get a palindrome (233310013332).

The spelling of 112200011121 in words is "one hundred twelve billion, two hundred million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 11 33 37 111 353 407 1059 1221 3883 11649 13061 39183 143671 260317 431013 780951 2863487 8590461 9631729 28895187 91891901 105949019 275675703 317847057 1010810911 3032432733 3400000337 10200001011 37400003707 112200011121