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20232313312032 = 253270251087889
BaseRepresentation
bin1001001100110101100111…
…10110010001001100100000
32122122012010200221112001200
410212122303312101030200
510122441234201441112
6111010332454401200
74155510404421453
oct446326366211440
978565120845050
1020232313312032
1164a0526455898
1223291a8960200
13b39b8c021393
144dd36babd49a
15251450084cdc
hex1266b3d91320

20232313312032 has 36 divisors (see below), whose sum is σ = 57535640981910. Its totient is φ = 6744104437248.

The previous prime is 20232313312027. The next prime is 20232313312039. The reversal of 20232313312032 is 23021331323202.

20232313312032 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 2 + 313 + 312 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15385253139216 + 4847060172816 = 3922404^2 + 2201604^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20232313311987 and 20232313312005.

It is not an unprimeable number, because it can be changed into a prime (20232313312039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35125543657 + ... + 35125544232.

Almost surely, 220232313312032 is an apocalyptic number.

It is an amenable number.

20232313312032 is an abundant number, since it is smaller than the sum of its proper divisors (37303327669878).

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

20232313312032 is a wasteful number, since it uses less digits than its factorization.

20232313312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70251087905 (or 70251087894 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20232313312032 its reverse (23021331323202), we get a palindrome (43253644635234).

The spelling of 20232313312032 in words is "twenty trillion, two hundred thirty-two billion, three hundred thirteen million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 70251087889 140502175778 210753263667 281004351556 421506527334 562008703112 632259791001 843013054668 1124017406224 1264519582002 1686026109336 2248034812448 2529039164004 3372052218672 5058078328008 6744104437344 10116156656016 20232313312032