Search a number
-
+
2002101110000 = 2454200210111
BaseRepresentation
bin11101001000100110100…
…001101000010011110000
321002101202212110022000222
4131020212201220103300
5230300300341010000
64131430315032212
7264434634434135
oct35104641502360
97071685408028
102002101110000
117020a4977932
1228402b73b668
13116a49950524
146cc8b94858c
153712c6b3a85
hex1d2268684f0

2002101110000 has 50 divisors (see below), whose sum is σ = 4847287021632. Its totient is φ = 800840440000.

The previous prime is 2002101109997. The next prime is 2002101110017. The reversal of 2002101110000 is 111012002.

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2002101110000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 100095056 + ... + 100115055.

Almost surely, 22002101110000 is an apocalyptic number.

2002101110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002101110000 is an abundant number, since it is smaller than the sum of its proper divisors (2845185911632).

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

2002101110000 is an equidigital number, since it uses as much as digits as its factorization.

2002101110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200210139 (or 200210118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2002101110000 its reverse (111012002), we get a palindrome (2002212122002).

The spelling of 2002101110000 in words is "two trillion, two billion, one hundred one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 200210111 400420222 800840444 1001050555 1601680888 2002101110 3203361776 4004202220 5005252775 8008404440 10010505550 16016808880 20021011100 25026263875 40042022200 50052527750 80084044400 100105055500 125131319375 200210111000 250262638750 400420222000 500525277500 1001050555000 2002101110000