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11142123104 = 25774366947
BaseRepresentation
bin10100110000001111…
…10100111001100000
31001202111212111111002
422120013310321200
5140304340414404
65041342211132
7543053324630
oct123007647140
931674774432
1011142123104
1147a8490002
1221ab583aa8
1310874c9168
14779b086c0
154532b4c1e
hex2981f4e60

11142123104 has 48 divisors (see below), whose sum is σ = 25103893248. Its totient is φ = 4768697472.

The previous prime is 11142123073. The next prime is 11142123121. The reversal of 11142123104 is 40132124111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132959 + ... + 199905.

It is an arithmetic number, because the mean of its divisors is an integer number (522997776).

Almost surely, 211142123104 is an apocalyptic number.

11142123104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11142123104 is an abundant number, since it is smaller than the sum of its proper divisors (13961770144).

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

11142123104 is an equidigital number, since it uses as much as digits as its factorization.

11142123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67707 (or 67699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11142123104 its reverse (40132124111), we get a palindrome (51274247215).

The spelling of 11142123104 in words is "eleven billion, one hundred forty-two million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 743 1486 2972 5201 5944 10402 11888 20804 23776 41608 66947 83216 133894 166432 267788 468629 535576 937258 1071152 1874516 2142304 3749032 7498064 14996128 49741621 99483242 198966484 348191347 397932968 696382694 795865936 1392765388 1591731872 2785530776 5571061552 11142123104