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32113312020 = 22325178407289
BaseRepresentation
bin11101111010000110…
…100100000100010100
310001220000212021110200
4131322012210010110
51011232001441040
622430323420500
72214540435246
oct357206440424
9101800767420
1032113312020
111268a144699
126282824730
13304a16419a
1417a8d9c096
15c7e420630
hex77a1a4114

32113312020 has 36 divisors (see below), whose sum is σ = 97410380340. Its totient is φ = 8563549824.

The previous prime is 32113312019. The next prime is 32113312027. The reversal of 32113312020 is 2021331123.

32113312020 is a `hidden beast` number, since 321 + 13 + 312 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7947365904 + 24165946116 = 89148^2 + 155454^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 32113311984 and 32113312002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32113312027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89203465 + ... + 89203824.

Almost surely, 232113312020 is an apocalyptic number.

32113312020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32113312020 is an abundant number, since it is smaller than the sum of its proper divisors (65297068320).

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

32113312020 is a wasteful number, since it uses less digits than its factorization.

32113312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178407304 (or 178407299 counting only the distinct ones).

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

Adding to 32113312020 its reverse (2021331123), we get a palindrome (34134643143).

The spelling of 32113312020 in words is "thirty-two billion, one hundred thirteen million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 178407289 356814578 535221867 713629156 892036445 1070443734 1605665601 1784072890 2140887468 2676109335 3211331202 3568145780 5352218670 6422662404 8028328005 10704437340 16056656010 32113312020