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10041111300 = 22352113042761
BaseRepresentation
bin10010101100111111…
…10011001100000100
3221220210010022020010
421112133303030010
5131031011030200
64340211510220
7503554015653
oct112637631404
927823108203
1010041111300
114292a445a0
121b428b8370
13c40382a9c
146b37c519a
153db7ce150
hex2567f3304

10041111300 has 72 divisors (see below), whose sum is σ = 31693408992. Its totient is φ = 2434208000.

The previous prime is 10041111287. The next prime is 10041111337. The reversal of 10041111300 is 311114001.

10041111300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100411113002 (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 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 23 ways as a sum of consecutive naturals, for example, 1518081 + ... + 1524680.

It is an arithmetic number, because the mean of its divisors is an integer number (440186236).

Almost surely, 210041111300 is an apocalyptic number.

10041111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041111300 is an abundant number, since it is smaller than the sum of its proper divisors (21652297692).

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

10041111300 is a wasteful number, since it uses less digits than its factorization.

10041111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042789 (or 3042782 counting only the distinct ones).

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

Adding to 10041111300 its reverse (311114001), we get a palindrome (10352225301).

The spelling of 10041111300 in words is "ten billion, forty-one million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3042761 6085522 9128283 12171044 15213805 18256566 30427610 33470371 36513132 45641415 60855220 66940742 76069025 91282830 100411113 133881484 152138050 167351855 182565660 200822226 228207075 304276100 334703710 401644452 456414150 502055565 669407420 836759275 912828300 1004111130 1673518550 2008222260 2510277825 3347037100 5020555650 10041111300