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201213100320 = 2535735742383
BaseRepresentation
bin1011101101100100111…
…1000100000100100000
3201020100212221120021220
42323121033010010200
511244041023202240
6232234103015040
720352151063431
oct2733117040440
9636325846256
10201213100320
1178374605451
1232bb5a3a480
1315c8874c40b
149a4b261488
155379beb5d0
hex2ed93c4120

201213100320 has 96 divisors (see below), whose sum is σ = 642503860992. Its totient is φ = 52921792512.

The previous prime is 201213100273. The next prime is 201213100327. The reversal of 201213100320 is 23001312102.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 201213100320.

It is not an unprimeable number, because it can be changed into a prime (201213100327) 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, 2836152 + ... + 2906231.

It is an arithmetic number, because the mean of its divisors is an integer number (6692748552).

Almost surely, 2201213100320 is an apocalyptic number.

201213100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201213100320 is an abundant number, since it is smaller than the sum of its proper divisors (441290760672).

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

201213100320 is a wasteful number, since it uses less digits than its factorization.

201213100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742474 (or 5742466 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201213100320 its reverse (23001312102), we get a palindrome (224214412422).

The spelling of 201213100320 in words is "two hundred one billion, two hundred thirteen million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1752 2190 2336 2920 3504 4380 5840 7008 8760 11680 17520 35040 5742383 11484766 17227149 22969532 28711915 34454298 45939064 57423830 68908596 86135745 91878128 114847660 137817192 172271490 183756256 229695320 275634384 344542980 419193959 459390640 551268768 689085960 838387918 918781280 1257581877 1378171920 1676775836 2095969795 2515163754 2756343840 3353551672 4191939590 5030327508 6287909385 6707103344 8383879180 10060655016 12575818770 13414206688 16767758360 20121310032 25151637540 33535516720 40242620064 50303275080 67071033440 100606550160 201213100320