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11002300320 = 2535112083769
BaseRepresentation
bin10100011111100100…
…11100011110100000
31001101202202202200110
422033302130132200
5140013042102240
65015425251320
7536435003214
oct121762343640
931352682613
1011002300320
11473656a090
122170793b40
13106455169b
1476530c944
15445d95c80
hex28fc9c7a0

11002300320 has 96 divisors (see below), whose sum is σ = 37807922880. Its totient is φ = 2667223040.

The previous prime is 11002300313. The next prime is 11002300321. The reversal of 11002300320 is 2300320011.

It is a happy number.

11002300320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110023003202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11002300296 and 11002300305.

It is not an unprimeable number, because it can be changed into a prime (11002300321) 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 15 ways as a sum of consecutive naturals, for example, 1036605 + ... + 1047164.

It is an arithmetic number, because the mean of its divisors is an integer number (393832530).

Almost surely, 211002300320 is an apocalyptic number.

11002300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002300320 is an abundant number, since it is smaller than the sum of its proper divisors (26805622560).

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

11002300320 is a wasteful number, since it uses less digits than its factorization.

11002300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083798 (or 2083790 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11002300320 its reverse (2300320011), we get a palindrome (13302620331).

The spelling of 11002300320 in words is "eleven billion, two million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 2083769 4167538 6251307 8335076 10418845 12502614 16670152 20837690 22921459 25005228 31256535 33340304 41675380 45842918 50010456 62513070 66680608 68764377 83350760 91685836 100020912 114607295 125026140 137528754 166701520 183371672 200041824 229214590 250052280 275057508 333403040 343821885 366743344 458429180 500104560 550115016 687643770 733486688 916858360 1000209120 1100230032 1375287540 1833716720 2200460064 2750575080 3667433440 5501150160 11002300320