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320201330000 = 245437865409
BaseRepresentation
bin1001010100011010111…
…11001000110101010000
31010121111101021220211112
410222031133020311100
520221233020030000
6403033133432452
732063613253226
oct4521537106520
91117441256745
10320201330000
11113884337552
125208293b728
132426c138006
14116d8074b16
1584e0e48235
hex4a8d7c8d50

320201330000 has 100 divisors (see below), whose sum is σ = 796192777380. Its totient is φ = 124618752000.

The previous prime is 320201329999. The next prime is 320201330021. The reversal of 320201330000 is 33102023.

It can be written as a sum of positive squares in 10 ways, for example, as 78743094544 + 241458235456 = 280612^2 + 491384^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62705 + ... + 802704.

Almost surely, 2320201330000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320201330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398096388690).

320201330000 is an abundant number, since it is smaller than the sum of its proper divisors (475991447380).

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

320201330000 is an equidigital number, since it uses as much as digits as its factorization.

320201330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865474 (or 865453 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 320201330000 its reverse (33102023), we get a palindrome (320234432023).

The spelling of 320201330000 in words is "three hundred twenty billion, two hundred one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1480 1850 2000 2500 2960 3700 4625 5000 7400 9250 10000 14800 18500 23125 37000 46250 74000 92500 185000 370000 865409 1730818 3461636 4327045 6923272 8654090 13846544 17308180 21635225 32020133 34616360 43270450 64040266 69232720 86540900 108176125 128080532 160100665 173081800 216352250 256161064 320201330 346163600 432704500 512322128 540880625 640402660 800503325 865409000 1081761250 1280805320 1601006650 1730818000 2163522500 2561610640 3202013300 4002516625 4327045000 6404026600 8005033250 8654090000 12808053200 16010066500 20012583125 32020133000 40025166250 64040266000 80050332500 160100665000 320201330000