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11103411420 = 2233559934327
BaseRepresentation
bin10100101011101000…
…01001110011011100
31001122211000202001000
422111310021303130
5140214433131140
65033440350300
7542103303603
oct122564116334
931584022030
1011103411420
11478864a382
12219a615390
13107c493b3a
1477490ca3a
1544ebb9a30
hex295d09cdc

11103411420 has 96 divisors (see below), whose sum is σ = 34602624000. Its totient is φ = 2955880512.

The previous prime is 11103411401. The next prime is 11103411421. The reversal of 11103411420 is 2411430111.

11103411420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11103411393 and 11103411402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103411421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 306297 + ... + 340623.

It is an arithmetic number, because the mean of its divisors is an integer number (360444000).

Almost surely, 211103411420 is an apocalyptic number.

11103411420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11103411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301312000).

11103411420 is an abundant number, since it is smaller than the sum of its proper divisors (23499212580).

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

11103411420 is a wasteful number, since it uses less digits than its factorization.

11103411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34944 (or 34936 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11103411420 its reverse (2411430111), we get a palindrome (13514841531).

The spelling of 11103411420 in words is "eleven billion, one hundred three million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 599 1198 1797 2396 2995 3594 5391 5990 7188 8985 10782 11980 16173 17970 21564 26955 32346 34327 35940 53910 64692 68654 80865 102981 107820 137308 161730 171635 205962 308943 323460 343270 411924 514905 617886 686540 926829 1029810 1235772 1544715 1853658 2059620 3089430 3707316 4634145 6178860 9268290 18536580 20561873 41123746 61685619 82247492 102809365 123371238 185056857 205618730 246742476 308428095 370113714 411237460 555170571 616856190 740227428 925284285 1110341142 1233712380 1850568570 2220682284 2775852855 3701137140 5551705710 11103411420