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11106421524 = 223211611074297
BaseRepresentation
bin10100101011111111…
…01000101100010100
31001200000200200010100
422111333220230110
5140221220442044
65034025054100
7542141011452
oct122577505424
931600620110
1011106421524
11478a315970
12219b627330
13107cca8c73
147750939d2
154500b1869
hex295fe8b14

11106421524 has 144 divisors (see below), whose sum is σ = 31427113536. Its totient is φ = 3278707200.

The previous prime is 11106421523. The next prime is 11106421561. The reversal of 11106421524 is 42512460111.

11106421524 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 642 + 15 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106421523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2582544 + ... + 2586840.

It is an arithmetic number, because the mean of its divisors is an integer number (218243844).

Almost surely, 211106421524 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 11106421524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713556768).

11106421524 is an abundant number, since it is smaller than the sum of its proper divisors (20320692012).

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

11106421524 is a wasteful number, since it uses less digits than its factorization.

11106421524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11106421524 its reverse (42512460111), we get a palindrome (53618881635).

The spelling of 11106421524 in words is "eleven billion, one hundred six million, four hundred twenty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 107 122 132 183 198 214 244 321 366 396 428 549 642 671 732 963 1098 1177 1284 1342 1926 2013 2196 2354 2684 3531 3852 4026 4297 4708 6039 6527 7062 8052 8594 10593 12078 12891 13054 14124 17188 19581 21186 24156 25782 26108 38673 39162 42372 47267 51564 58743 71797 77346 78324 94534 117486 141801 143594 154692 189068 215391 234972 262117 283602 287188 425403 430782 459779 524234 567204 646173 786351 850806 861564 919558 1048468 1292346 1379337 1572702 1701612 1839116 2359053 2584692 2758674 2883287 3145404 4138011 4718106 5057569 5517348 5766574 8276022 8649861 9436212 10115138 11533148 15172707 16552044 17299722 20230276 25949583 28046519 30345414 34599444 45518121 51899166 56093038 60690828 84139557 91036242 103798332 112186076 168279114 182072484 252418671 308511709 336558228 504837342 617023418 925535127 1009674684 1234046836 1851070254 2776605381 3702140508 5553210762 11106421524