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111253521344 = 267383648391
BaseRepresentation
bin110011110011100111…
…0100000001111000000
3101122011110010110101112
41213213032200033000
53310321400140334
6123035325022452
711015652220430
oct1474716401700
9348143113345
10111253521344
1143200792269
121968a6b4a28
13a650110504
1455558862c0
152d621a64ce
hex19e73a03c0

111253521344 has 56 divisors (see below), whose sum is σ = 252966248448. Its totient is φ = 47555516160.

The previous prime is 111253521341. The next prime is 111253521347. The reversal of 111253521344 is 443125352111.

It is an interprime number because it is at equal distance from previous prime (111253521341) and next prime (111253521347).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1112535213442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 111253521344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111253521341) 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 7 ways as a sum of consecutive naturals, for example, 152612 + ... + 495779.

Almost surely, 2111253521344 is an apocalyptic number.

111253521344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

111253521344 is an abundant number, since it is smaller than the sum of its proper divisors (141712727104).

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

111253521344 is an equidigital number, since it uses as much as digits as its factorization.

111253521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648793 (or 648783 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

Adding to 111253521344 its reverse (443125352111), we get a palindrome (554378873455).

The spelling of 111253521344 in words is "one hundred eleven billion, two hundred fifty-three million, five hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 383 448 766 1532 2681 3064 5362 6128 10724 12256 21448 24512 42896 85792 171584 648391 1296782 2593564 4538737 5187128 9077474 10374256 18154948 20748512 36309896 41497024 72619792 145239584 248333753 290479168 496667506 993335012 1738336271 1986670024 3476672542 3973340048 6953345084 7946680096 13906690168 15893360192 27813380336 55626760672 111253521344