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11123332101 = 33717101151227
BaseRepresentation
bin10100101110000000…
…01001010000000101
31001201012111211002000
422113000021100011
5140240033111401
65035431335513
7542434522440
oct122700112005
931635454060
1011123332101
114798916052
1221a5221599
13108364a11b
14777416657
15451802186
hex297009405

11123332101 has 128 divisors (see below), whose sum is σ = 20361093120. Its totient is φ = 5857920000.

The previous prime is 11123332097. The next prime is 11123332141. The reversal of 11123332101 is 10123332111.

11123332101 is a `hidden beast` number, since 111 + 233 + 321 + 0 + 1 = 666.

It is not a de Polignac number, because 11123332101 - 22 = 11123332097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123332141) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 49001350 + ... + 49001576.

It is an arithmetic number, because the mean of its divisors is an integer number (159071040).

Almost surely, 211123332101 is an apocalyptic number.

It is an amenable number.

11123332101 is a deficient number, since it is larger than the sum of its proper divisors (9237761019).

11123332101 is a wasteful number, since it uses less digits than its factorization.

11123332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11123332101 its reverse (10123332111), we get a palindrome (21246664212).

The spelling of 11123332101 in words is "eleven billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 9 17 21 27 51 63 101 119 151 153 189 227 303 357 453 459 681 707 909 1057 1071 1359 1589 1717 2043 2121 2567 2727 3171 3213 3859 4077 4767 5151 6129 6363 7701 9513 11577 12019 14301 15251 15453 17969 19089 22927 23103 27013 28539 34277 34731 36057 42903 45753 46359 53907 68781 69309 81039 102831 104193 106757 108171 137259 160489 161721 206343 239939 243117 259267 308493 320271 324513 389759 411777 481467 485163 582709 619029 719817 729351 777801 925479 960813 1169277 1444401 1748127 1814869 2159451 2333403 2728313 2882439 3461977 3507831 4078963 4333203 5244381 5444607 6478353 7000209 8184939 10385931 10523493 12236889 15733143 16333821 24233839 24554817 31157793 36710667 49001463 58853609 72701517 73664451 93473379 110132001 176560827 218104551 411975263 529682481 654313653 1235925789 1589047443 3707777367 11123332101