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11102010012 = 223541278581
BaseRepresentation
bin10100101011011101…
…10011101010011100
31001122201101112200000
422111232303222130
5140214103310022
65033350334300
7542055346062
oct122556635234
931581345600
1011102010012
114787882495
12219a05a390
13107c0c2cc2
14774666032
1544e9de6ac
hex295bb3a9c

11102010012 has 72 divisors (see below), whose sum is σ = 29812731312. Its totient is φ = 3610396800.

The previous prime is 11102009981. The next prime is 11102010019. The reversal of 11102010012 is 21001020111.

It is a happy number.

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 = 11102009976 and 11102010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102010019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99439 + ... + 179142.

Almost surely, 211102010012 is an apocalyptic number.

11102010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11102010012 is an abundant number, since it is smaller than the sum of its proper divisors (18710721300).

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

11102010012 is a wasteful number, since it uses less digits than its factorization.

11102010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278641 (or 278627 counting only the distinct ones).

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

Adding to 11102010012 its reverse (21001020111), we get a palindrome (32103030123).

The spelling of 11102010012 in words is "eleven billion, one hundred two million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 738 972 1107 1476 2214 3321 4428 6642 9963 13284 19926 39852 278581 557162 835743 1114324 1671486 2507229 3342972 5014458 7521687 10028916 11421821 15043374 22565061 22843642 30086748 34265463 45130122 45687284 67695183 68530926 90260244 102796389 135390366 137061852 205592778 270780732 308389167 411185556 616778334 925167501 1233556668 1850335002 2775502503 3700670004 5551005006 11102010012