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111142122 = 23713476171
BaseRepresentation
bin1101001111111…
…10010011101010
321202010121022220
412213332103222
5211423021442
615010054510
72516456340
oct647762352
9252117286
10111142122
11578117a3
123127a436
131a045190
1410a91990
159b55eec
hex69fe4ea

111142122 has 128 divisors (see below), whose sum is σ = 287981568. Its totient is φ = 27820800.

The previous prime is 111142093. The next prime is 111142127. The reversal of 111142122 is 221241111.

It is not an unprimeable number, because it can be changed into a prime (111142127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1565347 + ... + 1565417.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2111142122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111142122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

111142122 is an abundant number, since it is smaller than the sum of its proper divisors (176839446).

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

111142122 is a wasteful number, since it uses less digits than its factorization.

111142122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its digits is 32, while the sum is 15.

The square root of 111142122 is about 10542.3964068897. The cubic root of 111142122 is about 480.7945780500.

Adding to 111142122 its reverse (221241111), we get a palindrome (332383233).

The spelling of 111142122 in words is "one hundred eleven million, one hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 47 61 71 78 91 94 122 141 142 182 183 213 273 282 329 366 426 427 497 546 611 658 793 854 923 987 994 1222 1281 1491 1586 1833 1846 1974 2379 2562 2769 2867 2982 3337 3666 4277 4331 4758 5538 5551 5734 6461 6674 8554 8601 8662 10011 11102 12831 12922 12993 16653 17202 19383 20022 20069 23359 25662 25986 30317 33306 37271 38766 40138 43381 46718 56303 60207 60634 70077 74542 86762 90951 111813 112606 120414 130143 140154 168909 181902 203557 223626 260286 260897 303667 337818 394121 407114 521794 607334 610671 782691 788242 911001 1182363 1221342 1424899 1565382 1822002 2364726 2646241 2849798 4274697 5292482 7938723 8549394 15877446 18523687 37047374 55571061 111142122