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111212044424 = 2313193113113859
BaseRepresentation
bin110011110010011000…
…0010010000010001000
3101122001120002012202022
41213210300102002020
53310230240410144
6123031244024012
711014636531445
oct1474460220210
9348046065668
10111212044424
114318a333018
1219678832008
13a64464a660
14555016a9cc
152d5d711cee
hex19e4c12088

111212044424 has 128 divisors (see below), whose sum is σ = 245887488000. Its totient is φ = 46695916800.

The previous prime is 111212044423. The next prime is 111212044429. The reversal of 111212044424 is 424440212111.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 111212044393 and 111212044402.

It is not an unprimeable number, because it can be changed into a prime (111212044421) 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 31 ways as a sum of consecutive naturals, for example, 8017607 + ... + 8031465.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996000).

Almost surely, 2111212044424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111212044424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943744000).

111212044424 is an abundant number, since it is smaller than the sum of its proper divisors (134675443576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111212044424 is a wasteful number, since it uses less digits than its factorization.

111212044424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14059 (or 14055 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 111212044424 its reverse (424440212111), we get a palindrome (535652256535).

The spelling of 111212044424 in words is "one hundred eleven billion, two hundred twelve million, forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 19 26 31 38 52 62 76 104 124 131 152 247 248 262 403 494 524 589 806 988 1048 1178 1612 1703 1976 2356 2489 3224 3406 4061 4712 4978 6812 7657 8122 9956 13624 13859 15314 16244 19912 27718 30628 32357 32488 52793 55436 61256 64714 77159 105586 110872 129428 154318 180167 211172 258856 263321 308636 360334 422344 429629 526642 617272 720668 859258 1003067 1053284 1441336 1718516 1815529 2006134 2106568 3423173 3437032 3631058 4012268 5585177 6846346 7262116 8024536 8162951 11170354 13692692 14524232 16325902 22340708 23601877 27385384 32651804 34495051 44681416 47203754 56281399 65303608 68990102 94407508 106118363 112562798 137980204 188815016 212236726 225125596 275960408 424473452 448435663 450251192 731658187 848946904 896871326 1069346581 1463316374 1793742652 2138693162 2926632748 3587485304 4277386324 5853265496 8554772648 13901505553 27803011106 55606022212 111212044424