Search a number
-
+
11122056 = 23331131151
BaseRepresentation
bin101010011011…
…010110001000
3202221001121000
4222123112020
510321401211
61034215000
7163351551
oct52332610
922831530
1011122056
116307190
123884460
1323c54ca
141697328
15e9a656
hexa9b588

11122056 has 128 divisors (see below), whose sum is σ = 35020800. Its totient is φ = 3240000.

The previous prime is 11122039. The next prime is 11122073. The reversal of 11122056 is 65022111.

It is an interprime number because it is at equal distance from previous prime (11122039) and next prime (11122073).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73581 + ... + 73731.

It is an arithmetic number, because the mean of its divisors is an integer number (273600).

Almost surely, 211122056 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 11122056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510400).

11122056 is an abundant number, since it is smaller than the sum of its proper divisors (23898744).

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

11122056 is a wasteful number, since it uses less digits than its factorization.

11122056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11122056 is about 3334.9746625724. The cubic root of 11122056 is about 223.2175613423.

Adding to 11122056 its reverse (65022111), we get a palindrome (76144167).

The spelling of 11122056 in words is "eleven million, one hundred twenty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 151 186 198 216 248 264 279 297 302 341 372 396 453 558 594 604 682 744 792 837 906 1023 1116 1188 1208 1359 1364 1661 1674 1812 2046 2232 2376 2718 2728 3069 3322 3348 3624 4077 4092 4681 4983 5436 6138 6644 6696 8154 8184 9207 9362 9966 10872 12276 13288 14043 14949 16308 18414 18724 19932 24552 28086 29898 32616 36828 37448 39864 42129 44847 51491 56172 59796 73656 84258 89694 102982 112344 119592 126387 154473 168516 179388 205964 252774 308946 337032 358776 411928 463419 505548 617892 926838 1011096 1235784 1390257 1853676 2780514 3707352 5561028 11122056