Search a number
-
+
200420023210000 = 24541117267731289
BaseRepresentation
bin101101100100011111101100…
…010010100001000000010000
3222021121222010000101212221121
4231210133230102201000100
5202232140201420210000
61550131404304332024
760133604003561206
oct5544375422410020
9867558100355847
10200420023210000
1158950722187790
121a58a8b0314014
1387aa6b1040379
14376c5491d1076
1518285b878ab1a
hexb647ec4a1010

200420023210000 has 1200 divisors, whose sum is σ = 578978840214720. Its totient is φ = 66591866880000.

The previous prime is 200420023209941. The next prime is 200420023210021. The reversal of 200420023210000 is 12320024002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 155484889356 + ... + 155484890644.

Almost surely, 2200420023210000 is an apocalyptic number.

200420023210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200420023210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289489420107360).

200420023210000 is an abundant number, since it is smaller than the sum of its proper divisors (378558817004720).

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

200420023210000 is a wasteful number, since it uses less digits than its factorization.

200420023210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 200420023210000 its reverse (12320024002), we get a palindrome (200432343234002).

The spelling of 200420023210000 in words is "two hundred trillion, four hundred twenty billion, twenty-three million, two hundred ten thousand".