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11110012032 = 27374133189
BaseRepresentation
bin10100101100011010…
…10101010010000000
31001200021110002101010
422112031111102000
5140223130341112
65034234040520
7542213354430
oct122615252200
931607402333
1011110012032
114791348529
1221a0879140
131080965322
1477574a2c0
1545057063c
hex296355480

11110012032 has 64 divisors (see below), whose sum is σ = 33726830400. Its totient is φ = 3174288384.

The previous prime is 11110012031. The next prime is 11110012037. The reversal of 11110012032 is 23021001111.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 11110011999 and 11110012017.

It is not an unprimeable number, because it can be changed into a prime (11110012031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2063907 + ... + 2069282.

It is an arithmetic number, because the mean of its divisors is an integer number (526981725).

Almost surely, 211110012032 is an apocalyptic number.

11110012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11110012032 is an abundant number, since it is smaller than the sum of its proper divisors (22616818368).

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

11110012032 is an equidigital number, since it uses as much as digits as its factorization.

11110012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133213 (or 4133201 counting only the distinct ones).

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

Adding to 11110012032 its reverse (23021001111), we get a palindrome (34131013143).

The spelling of 11110012032 in words is "eleven billion, one hundred ten million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4133189 8266378 12399567 16532756 24799134 28932323 33065512 49598268 57864646 66131024 86796969 99196536 115729292 132262048 173593938 198393072 231458584 264524096 347187876 396786144 462917168 529048192 694375752 793572288 925834336 1388751504 1587144576 1851668672 2777503008 3703337344 5555006016 11110012032