Search a number
-
+
120200021002000 = 245360100010501
BaseRepresentation
bin11011010101001000111111…
…100011011100011100010000
3120202121000021010120201202201
4123111020333203130130100
5111223324120334031000
61103351043301052544
734214110400512402
oct3325107743343420
9522530233521681
10120200021002000
11353325a727a535
121159369b9b7154
13520ba75bc0364
1421979d7c5ab72
15dd6a2987796a
hex6d523f8dc710

120200021002000 has 40 divisors (see below), whose sum is σ = 290643650787672. Its totient is φ = 48080008400000.

The previous prime is 120200021001923. The next prime is 120200021002031. The reversal of 120200021002000 is 200120002021.

It can be written as a sum of positive squares in 4 ways, for example, as 14463387061776 + 105736633940224 = 3803076^2 + 10282832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30050003251 + ... + 30050007250.

Almost surely, 2120200021002000 is an apocalyptic number.

120200021002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200021002000 is an abundant number, since it is smaller than the sum of its proper divisors (170443629785672).

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

120200021002000 is an equidigital number, since it uses as much as digits as its factorization.

120200021002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60100010524 (or 60100010508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120200021002000 its reverse (200120002021), we get a palindrome (120400141004021).

The spelling of 120200021002000 in words is "one hundred twenty trillion, two hundred billion, twenty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 60100010501 120200021002 240400042004 300500052505 480800084008 601000105010 961600168016 1202000210020 1502500262525 2404000420040 3005000525050 4808000840080 6010001050100 7512501312625 12020002100200 15025002625250 24040004200400 30050005250500 60100010501000 120200021002000