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11122442034 = 23111941227953
BaseRepresentation
bin10100101101111001…
…01111111100110010
31001201010211121010120
422112330233330302
5140234321121114
65035400311110
7542424124464
oct122674577462
931633747116
1011122442034
114798368360
1221a4a72496
1310833c7c62
14777264134
154516c85a9
hex296f2ff32

11122442034 has 128 divisors (see below), whose sum is σ = 26310251520. Its totient is φ = 3098188800.

The previous prime is 11122442033. The next prime is 11122442059. The reversal of 11122442034 is 43024422111.

It is a junction number, because it is equal to n+sod(n) for n = 11122441995 and 11122442013.

It is not an unprimeable number, because it can be changed into a prime (11122442033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11670502 + ... + 11671454.

It is an arithmetic number, because the mean of its divisors is an integer number (205548840).

Almost surely, 211122442034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122442034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155125760).

11122442034 is an abundant number, since it is smaller than the sum of its proper divisors (15187809486).

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

11122442034 is a wasteful number, since it uses less digits than its factorization.

11122442034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11122442034 its reverse (43024422111), we get a palindrome (54146864145).

The spelling of 11122442034 in words is "eleven billion, one hundred twenty-two million, four hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 41 57 66 82 114 123 209 227 246 418 451 454 627 681 779 902 953 1254 1353 1362 1558 1906 2337 2497 2706 2859 4313 4674 4994 5718 7491 8569 8626 9307 10483 12939 14982 17138 18107 18614 20966 25707 25878 27921 31449 36214 39073 47443 51414 54321 55842 62898 78146 94886 102377 108642 117219 142329 176833 199177 204754 216331 234438 284658 307131 353666 398354 429803 432662 530499 597531 614262 648993 742387 859606 1060998 1195062 1289409 1297986 1484774 1945163 2227161 2379641 2578818 3890326 4110289 4454322 4759282 5835489 7138923 8166257 8220578 8869571 11670978 12330867 14277846 16332514 17739142 24498771 24661734 26608713 45213179 48997542 53217426 90426358 97565281 135639537 168521849 195130562 271279074 292695843 337043698 505565547 585391686 1011131094 1853740339 3707480678 5561221017 11122442034