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11244000810 = 235753542861
BaseRepresentation
bin10100111100011000…
…11101011000101010
31002000121120102102110
422132030131120222
5141011431011220
65055421543150
7545431300320
oct123614353052
932017512373
1011244000810
11484aa44259
122219714ab6
1310a2649523
14789467d10
1545c1dabe0
hex29e31d62a

11244000810 has 32 divisors (see below), whose sum is σ = 30840688512. Its totient is φ = 2570057280.

The previous prime is 11244000809. The next prime is 11244000811. The reversal of 11244000810 is 1800044211.

It is a happy number.

11244000810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11244000809) and next prime (11244000811).

It is a super-2 number, since 2×112440008102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11244000811) 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, 26771221 + ... + 26771640.

It is an arithmetic number, because the mean of its divisors is an integer number (963771516).

Almost surely, 211244000810 is an apocalyptic number.

11244000810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11244000810 is an abundant number, since it is smaller than the sum of its proper divisors (19596687702).

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

11244000810 is a wasteful number, since it uses less digits than its factorization.

11244000810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53542878.

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 11244000810 in words is "eleven billion, two hundred forty-four million, eight hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 53542861 107085722 160628583 267714305 321257166 374800027 535428610 749600054 803142915 1124400081 1606285830 1874000135 2248800162 3748000270 5622000405 11244000810