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320113102032 = 24332293235819
BaseRepresentation
bin1001010100010000011…
…10100100110011010000
31010121021020021110211000
410222020032210303100
520221042423231112
6403020302422000
732061462320643
oct4521016446320
91117236243730
10320113102032
11113839556579
1252059291900
1324256a86809
14116ca469a5a
1584d831b7dc
hex4a883a4cd0

320113102032 has 80 divisors (see below), whose sum is σ = 922855864000. Its totient is φ = 106238376576.

The previous prime is 320113102013. The next prime is 320113102033. The reversal of 320113102032 is 230201311023.

320113102032 is a `hidden beast` number, since 320 + 1 + 1 + 310 + 2 + 0 + 32 = 666.

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 = 320113101996 and 320113102014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320113102033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518982 + ... + 1716837.

It is an arithmetic number, because the mean of its divisors is an integer number (11535698300).

Almost surely, 2320113102032 is an apocalyptic number.

It is an amenable number.

320113102032 is an abundant number, since it is smaller than the sum of its proper divisors (602742761968).

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

320113102032 is a wasteful number, since it uses less digits than its factorization.

320113102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236065 (or 3236053 counting only the distinct ones).

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

Adding to 320113102032 its reverse (230201311023), we get a palindrome (550314413055).

The spelling of 320113102032 in words is "three hundred twenty billion, one hundred thirteen million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 229 432 458 687 916 1374 1832 2061 2748 3664 4122 5496 6183 8244 10992 12366 16488 24732 32976 49464 98928 3235819 6471638 9707457 12943276 19414914 25886552 29122371 38829828 51773104 58244742 77659656 87367113 116489484 155319312 174734226 232978968 349468452 465957936 698936904 741002551 1397873808 1482005102 2223007653 2964010204 4446015306 5928020408 6669022959 8892030612 11856040816 13338045918 17784061224 20007068877 26676091836 35568122448 40014137754 53352183672 80028275508 106704367344 160056551016 320113102032