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1102010112 = 2832768329
BaseRepresentation
bin100000110101111…
…0101011100000000
32211210121220200100
41001223311130000
54224103310422
6301203522400
736210634320
oct10153653400
92753556610
101102010112
11516068565
12269089400
131474058b8
14a6503280
1566b317ac
hex41af5700

1102010112 has 108 divisors (see below), whose sum is σ = 3631329520. Its totient is φ = 314855424.

The previous prime is 1102010093. The next prime is 1102010131. The reversal of 1102010112 is 2110102011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1102010093) and next prime (1102010131).

It is a super-3 number, since 3×11020101123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1102010094 and 1102010103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18037 + ... + 50292.

Almost surely, 21102010112 is an apocalyptic number.

1102010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1102010112 is an abundant number, since it is smaller than the sum of its proper divisors (2529319408).

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

1102010112 is an equidigital number, since it uses as much as digits as its factorization.

1102010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68358 (or 68341 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1102010112 is about 33196.5376507852. The cubic root of 1102010112 is about 1032.9085203036.

Adding to 1102010112 its reverse (2110102011), we get a palindrome (3212112123).

The spelling of 1102010112 in words is "one billion, one hundred two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 68329 136658 204987 273316 409974 478303 546632 614961 819948 956606 1093264 1229922 1434909 1639896 1913212 2186528 2459844 2869818 3279792 3826424 4304727 4373056 4919688 5739636 6559584 7652848 8609454 8746112 9839376 11479272 13119168 15305696 17218908 17492224 19678752 22958544 26238336 30611392 34437816 39357504 45917088 52476672 61222784 68875632 78715008 91834176 122445568 137751264 157430016 183668352 275502528 367336704 551005056 1102010112