Search a number
-
+
200101110100 = 22522001011101
BaseRepresentation
bin1011101001011011110…
…1001010000101010100
3201010111101112121110221
42322112331022011110
511234301341010400
6231531501124124
720312456241433
oct2722675120524
9633441477427
10200101110100
1177953950771
1232945559644
1315b3c261038
1499836c111a
155312297c1a
hex2e96f4a154

200101110100 has 18 divisors (see below), whose sum is σ = 434219409134. Its totient is φ = 80040444000.

The previous prime is 200101110073. The next prime is 200101110103. The reversal of 200101110100 is 1011101002.

200101110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 25955143236 + 174145966864 = 161106^2 + 417308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101110103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1000505451 + ... + 1000505650.

Almost surely, 2200101110100 is an apocalyptic number.

200101110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101110100 is an abundant number, since it is smaller than the sum of its proper divisors (234118299034).

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

200101110100 is a wasteful number, since it uses less digits than its factorization.

200101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001011115 (or 2001011108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 200101110100 its reverse (1011101002), we get a palindrome (201112211102).

The spelling of 200101110100 in words is "two hundred billion, one hundred one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2001011101 4002022202 8004044404 10005055505 20010111010 40020222020 50025277525 100050555050 200101110100