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11002300100 = 2252112909281
BaseRepresentation
bin10100011111100100…
…11100011011000100
31001101202202202101022
422033302130123010
5140013042100400
65015425250312
7536435002451
oct121762343304
931352682338
1011002300100
114736569a00
122170793998
13106455155c
1476530c828
15445d95b85
hex28fc9c6c4

11002300100 has 54 divisors (see below), whose sum is σ = 26242787802. Its totient is φ = 4000832000.

The previous prime is 11002300087. The next prime is 11002300121. The reversal of 11002300100 is 100320011.

11002300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1379082496 + 9623217604 = 37136^2 + 98098^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 442541 + ... + 466740.

Almost surely, 211002300100 is an apocalyptic number.

11002300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002300100 is an abundant number, since it is smaller than the sum of its proper divisors (15240487702).

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

11002300100 is a wasteful number, since it uses less digits than its factorization.

11002300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909317 (or 909299 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11002300100 its reverse (100320011), we get a palindrome (11102620111).

The spelling of 11002300100 in words is "eleven billion, two million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 909281 1818562 3637124 4546405 9092810 10002091 18185620 20004182 22732025 40008364 45464050 50010455 90928100 100020910 110023001 200041820 220046002 250052275 440092004 500104550 550115005 1000209100 1100230010 2200460020 2750575025 5501150050 11002300100