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11103100112 = 24131713212377
BaseRepresentation
bin10100101011100101…
…11101110011010000
31001122210102221000002
422111302331303100
5140214343200422
65033425545132
7542100536156
oct122562756320
931583387002
1011103100112
1147884574a5
12219a4a51a8
13107c3b5230
1477486b3d6
1544eb57692
hex295cbdcd0

11103100112 has 80 divisors (see below), whose sum is σ = 24558709392. Its totient is φ = 4817387520.

The previous prime is 11103100111. The next prime is 11103100121. The reversal of 11103100112 is 21100130111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 262958656 + 10840141456 = 16216^2 + 104116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11103100093 and 11103100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4669868 + ... + 4672244.

Almost surely, 211103100112 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 11103100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279354696).

11103100112 is an abundant number, since it is smaller than the sum of its proper divisors (13455609280).

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

11103100112 is a wasteful number, since it uses less digits than its factorization.

11103100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11103100112 its reverse (21100130111), we get a palindrome (32203230223).

The spelling of 11103100112 in words is "eleven billion, one hundred three million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1321 1768 2377 2642 3536 4754 5284 9508 10568 17173 19016 21136 22457 30901 34346 38032 40409 44914 61802 68692 80818 89828 123604 137384 161636 179656 247208 274768 291941 323272 359312 494416 525317 583882 646544 1050634 1167764 2101268 2335528 3140017 4202536 4671056 6280034 8405072 12560068 25120136 40820221 50240272 53380289 81640442 106760578 163280884 213521156 326561768 427042312 653123536 693943757 854084624 1387887514 2775775028 5551550056 11103100112