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321203130120 = 23325892230917
BaseRepresentation
bin1001010110010010011…
…00101100111100001000
31010201002012100122020200
410223021030230330020
520230311000130440
6403320401452200
732130466362255
oct4531114547410
91121065318220
10321203130120
1111424887a834
1252302341060
132439b855652
141179113042c
15854dd82c30
hex4ac932cf08

321203130120 has 48 divisors (see below), whose sum is σ = 1043910174060. Its totient is φ = 85654167936.

The previous prime is 321203130067. The next prime is 321203130217. The reversal of 321203130120 is 21031302123.

321203130120 is a `hidden beast` number, since 321 + 20 + 3 + 1 + 301 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 276514015716 + 44689114404 = 525846^2 + 211398^2 .

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 = 321203130093 and 321203130102.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 446115099 + ... + 446115818.

Almost surely, 2321203130120 is an apocalyptic number.

321203130120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321203130120 is an abundant number, since it is smaller than the sum of its proper divisors (722707043940).

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

321203130120 is a wasteful number, since it uses less digits than its factorization.

321203130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892230934 (or 892230927 counting only the distinct ones).

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

Adding to 321203130120 its reverse (21031302123), we get a palindrome (342234432243).

The spelling of 321203130120 in words is "three hundred twenty-one billion, two hundred three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 892230917 1784461834 2676692751 3568923668 4461154585 5353385502 7137847336 8030078253 8922309170 10706771004 13383463755 16060156506 17844618340 21413542008 26766927510 32120313012 35689236680 40150391265 53533855020 64240626024 80300782530 107067710040 160601565060 321203130120