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321013020000 = 253545350217
BaseRepresentation
bin1001010101111011101…
…11011111010101100000
31010200120221122001012010
410222331313133111200
520224413313120000
6403245451032520
732123000435331
oct4527567372540
91120527561163
10321013020000
11114160532232
125226a73b740
132436b351a5a
1411773ba4288
15853c32dd50
hex4abdddf560

321013020000 has 120 divisors (see below), whose sum is σ = 1052987105016. Its totient is φ = 85603456000.

The previous prime is 321013019989. The next prime is 321013020017. The reversal of 321013020000 is 20310123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2615109 + ... + 2735108.

Almost surely, 2321013020000 is an apocalyptic number.

321013020000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321013020000 is an abundant number, since it is smaller than the sum of its proper divisors (731974085016).

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

321013020000 is an equidigital number, since it uses as much as digits as its factorization.

321013020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350250 (or 5350227 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 321013020000 its reverse (20310123), we get a palindrome (321033330123).

The spelling of 321013020000 in words is "three hundred twenty-one billion, thirteen million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 5350217 10700434 16050651 21400868 26751085 32101302 42801736 53502170 64202604 80253255 85603472 107004340 128405208 133755425 160506510 171206944 214008680 256810416 267510850 321013020 401266275 428017360 513620832 535021700 642026040 668777125 802532550 856034720 1070043400 1284052080 1337554250 1605065100 2006331375 2140086800 2568104160 2675108500 3210130200 3343885625 4012662750 4280173600 5350217000 6420260400 6687771250 8025325500 10031656875 10700434000 12840520800 13375542500 16050651000 20063313750 21400868000 26751085000 32101302000 40126627500 53502170000 64202604000 80253255000 107004340000 160506510000 321013020000