Search a number
-
+
13022021320200 = 2332527234456289
BaseRepresentation
bin1011110101111110110011…
…1101000111111000001000
31201002220010001111111120100
42331133230331013320020
53201323044424221300
643410122313525400
72512544553625164
oct275375475077010
951086101444510
1013022021320200
114170676608582
121563908713860
13735c820636b9
143303aa955ca4
15178aecac7700
hexbd7ecf47e08

13022021320200 has 72 divisors (see below), whose sum is σ = 43732288273050. Its totient is φ = 3472539018240.

The previous prime is 13022021320183. The next prime is 13022021320291. The reversal of 13022021320200 is 202312022031.

13022021320200 is a `hidden beast` number, since 1 + 30 + 220 + 213 + 2 + 0 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5252411410596 + 7769609909604 = 2291814^2 + 2787402^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3617226345 + ... + 3617229944.

Almost surely, 213022021320200 is an apocalyptic number.

13022021320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022021320200 is an abundant number, since it is smaller than the sum of its proper divisors (30710266952850).

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

13022021320200 is a wasteful number, since it uses less digits than its factorization.

13022021320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7234456311 (or 7234456299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13022021320200 its reverse (202312022031), we get a palindrome (13224333342231).

The spelling of 13022021320200 in words is "thirteen trillion, twenty-two billion, twenty-one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 7234456289 14468912578 21703368867 28937825156 36172281445 43406737734 57875650312 65110106601 72344562890 86813475468 108516844335 130220213202 144689125780 173626950936 180861407225 217033688670 260440426404 289378251560 325550533005 361722814450 434067377340 520880852808 542584221675 651101066010 723445628900 868134754680 1085168443350 1302202132020 1446891257800 1627752665025 2170336886700 2604404264040 3255505330050 4340673773400 6511010660100 13022021320200