Search a number
-
+
2034314300020 = 225175983277353
BaseRepresentation
bin11101100110100110100…
…101001100101001110100
321012110220212020220100211
4131212212211030221310
5231312233430100040
64154315011315204
7266655130146052
oct35464645145164
97173825226324
102034314300020
1171482542a322
1228a31b8abb04
13119ab16b4802
1470665ca51d2
1537db57628ea
hex1d9a694ca74

2034314300020 has 24 divisors (see below), whose sum is σ = 4523357679624. Its totient is φ = 765859501056.

The previous prime is 2034314299999. The next prime is 2034314300023. The reversal of 2034314300020 is 200034134302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 959102918244 + 1075211381776 = 979338^2 + 1036924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2034314299964 and 2034314300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034314300023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2991638337 + ... + 2991639016.

It is an arithmetic number, because the mean of its divisors is an integer number (188473236651).

Almost surely, 22034314300020 is an apocalyptic number.

2034314300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034314300020 is an abundant number, since it is smaller than the sum of its proper divisors (2489043379604).

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

2034314300020 is a wasteful number, since it uses less digits than its factorization.

2034314300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983277379 (or 5983277377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2034314300020 its reverse (200034134302), we get a palindrome (2234348434322).

The spelling of 2034314300020 in words is "two trillion, thirty-four billion, three hundred fourteen million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 5983277353 11966554706 23933109412 29916386765 59832773530 101715715001 119665547060 203431430002 406862860004 508578575005 1017157150010 2034314300020