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21301132032 = 28333081761
BaseRepresentation
bin10011110101101001…
…010111101100000000
32000222111211121212000
4103311221113230000
5322111042211112
613441405104000
71352601430515
oct236551275400
960874747760
1021301132032
119040a2a854
124165858000
13201611ac4b
14106101d30c
1584a0d17dc
hex4f5a57b00

21301132032 has 72 divisors (see below), whose sum is σ = 62991215280. Its totient is φ = 7100375040.

The previous prime is 21301132007. The next prime is 21301132037. The reversal of 21301132032 is 23023110312.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21301131996 and 21301132014.

It is not an unprimeable number, because it can be changed into a prime (21301132037) 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, 1533969 + ... + 1547792.

It is an arithmetic number, because the mean of its divisors is an integer number (874877990).

Almost surely, 221301132032 is an apocalyptic number.

It is an amenable number.

21301132032 is an abundant number, since it is smaller than the sum of its proper divisors (41690083248).

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

21301132032 is an equidigital number, since it uses as much as digits as its factorization.

21301132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081786 (or 3081766 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21301132032 its reverse (23023110312), we get a palindrome (44324242344).

The spelling of 21301132032 in words is "twenty-one billion, three hundred one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 3081761 6163522 9245283 12327044 18490566 24654088 27735849 36981132 49308176 55471698 73962264 83207547 98616352 110943396 147924528 166415094 197232704 221886792 295849056 332830188 394465408 443773584 591698112 665660376 788930816 887547168 1183396224 1331320752 1775094336 2366792448 2662641504 3550188672 5325283008 7100377344 10650566016 21301132032