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320013202020 = 223537475130341
BaseRepresentation
bin1001010100000100100…
…01011111001001100100
31010121000021022000202120
410222002101133021210
520220341334431040
6403002333305540
732056140223161
oct4520221371144
91117007260676
10320013202020
11113798123186
125202b9352b0
132423c179695
14116bb0a3068
1584ce6867d0
hex4a8245f264

320013202020 has 96 divisors (see below), whose sum is σ = 920478214656. Its totient is φ = 83010240000.

The previous prime is 320013202013. The next prime is 320013202021. The reversal of 320013202020 is 20202310023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (320013202021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10532050 + ... + 10562390.

It is an arithmetic number, because the mean of its divisors is an integer number (9588314736).

Almost surely, 2320013202020 is an apocalyptic number.

320013202020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320013202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460239107328).

320013202020 is an abundant number, since it is smaller than the sum of its proper divisors (600465012636).

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

320013202020 is a wasteful number, since it uses less digits than its factorization.

320013202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35141 (or 35139 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 320013202020 its reverse (20202310023), we get a palindrome (340215512043).

The spelling of 320013202020 in words is "three hundred twenty billion, thirteen million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4751 9502 14253 19004 23755 28506 30341 47510 57012 60682 71265 91023 95020 121364 142530 151705 175787 182046 285060 303410 351574 364092 455115 527361 606820 703148 878935 910230 1054722 1122617 1757870 1820460 2109444 2245234 2636805 3367851 3515740 4490468 5273610 5613085 6735702 10547220 11226170 13471404 16839255 22452340 33678510 67357020 144150091 288300182 432450273 576600364 720750455 864900546 1441500910 1729801092 2162251365 2883001820 4324502730 5333553367 8649005460 10667106734 16000660101 21334213468 26667766835 32001320202 53335533670 64002640404 80003300505 106671067340 160006601010 320013202020