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11103002100 = 2234521370741
BaseRepresentation
bin10100101011100101…
…00101110111110100
31001122210020221120000
422111302211313310
5140214332031400
65033423511300
7542066650341
oct122562456764
931583227500
1011103002100
11478839a8a3
12219a458530
13107c37c738
147748437c8
1544eb38600
hex295ca5df4

11103002100 has 90 divisors (see below), whose sum is σ = 35991572694. Its totient is φ = 2960798400.

The previous prime is 11103002077. The next prime is 11103002101. The reversal of 11103002100 is 120030111.

It can be written as a sum of positive squares in 3 ways, for example, as 1493513316 + 9609488784 = 38646^2 + 98028^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103002101) 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 29 ways as a sum of consecutive naturals, for example, 677271 + ... + 693470.

Almost surely, 211103002100 is an apocalyptic number.

11103002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11103002100 is an abundant number, since it is smaller than the sum of its proper divisors (24888570594).

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

11103002100 is a wasteful number, since it uses less digits than its factorization.

11103002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370767 (or 1370751 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11103002100 its reverse (120030111), we get a palindrome (11223032211).

The spelling of 11103002100 in words is "eleven billion, one hundred three million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 1370741 2741482 4112223 5482964 6853705 8224446 12336669 13707410 16448892 20561115 24673338 27414820 34268525 37010007 41122230 49346676 61683345 68537050 74020014 82244460 102805575 111030021 123366690 137074100 148040028 185050035 205611150 222060042 246733380 308416725 370100070 411222300 444120084 555150105 616833450 740200140 925250175 1110300210 1233666900 1850500350 2220600420 2775750525 3701000700 5551501050 11103002100