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112443211413 = 32137113997381
BaseRepresentation
bin110100010111000100…
…0110011111010010101
3101202020100201222100200
41220232020303322111
53320240430231123
6123353344131113
711060306345541
oct1505610637225
9352210658320
10112443211413
1143761296aa5
1219961006a99
13a7ac735030
145629890a21
152dd1857143
hex1a2e233e95

112443211413 has 48 divisors (see below), whose sum is σ = 178653121920. Its totient is φ = 67729737600.

The previous prime is 112443211373. The next prime is 112443211457. The reversal of 112443211413 is 314112344211.

It is a happy number.

112443211413 is a `hidden beast` number, since 1 + 1 + 2 + 443 + 211 + 4 + 1 + 3 = 666.

It is not a de Polignac number, because 112443211413 - 220 = 112442162837 is a prime.

It is a super-2 number, since 2×1124432114132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112443211513) 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 47 ways as a sum of consecutive naturals, for example, 1105983 + ... + 1203363.

It is an arithmetic number, because the mean of its divisors is an integer number (3721940040).

Almost surely, 2112443211413 is an apocalyptic number.

112443211413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112443211413 is a deficient number, since it is larger than the sum of its proper divisors (66209910507).

112443211413 is a wasteful number, since it uses less digits than its factorization.

112443211413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97610 (or 97607 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 112443211413 its reverse (314112344211), we get a palindrome (426555555624).

The spelling of 112443211413 in words is "one hundred twelve billion, four hundred forty-three million, two hundred eleven thousand, four hundred thirteen".

Divisors: 1 3 9 13 39 71 117 139 213 417 639 923 1251 1807 2769 5421 8307 9869 16263 29607 88821 97381 128297 292143 384891 876429 1154673 1265953 3797859 6914051 11393577 13535959 20742153 40607877 62226459 89882663 121823631 175967467 269647989 527902401 808943967 961053089 1583707203 2883159267 8649477801 12493690157 37481070471 112443211413