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1001010200200 = 23525005051001
BaseRepresentation
bin11101001000100001101…
…10110111111010001000
310112200210010021220122021
432210100312313322020
5112400032102401300
62043505134334224
7132214652212063
oct16442066677210
93480703256567
101001010200200
1135658718629a
1214200435a374
137351966773a
143664068b8da
151b08a2aed1a
hexe910db7e88

1001010200200 has 24 divisors (see below), whose sum is σ = 2327348715930. Its totient is φ = 400404080000.

The previous prime is 1001010200107. The next prime is 1001010200209. The reversal of 1001010200200 is 20020101001.

1001010200200 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 966591787716 + 34418412484 = 983154^2 + 185522^2 .

It is not an unprimeable number, because it can be changed into a prime (1001010200209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2502525301 + ... + 2502525700.

Almost surely, 21001010200200 is an apocalyptic number.

1001010200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001010200200 is an abundant number, since it is smaller than the sum of its proper divisors (1326338515730).

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

1001010200200 is a wasteful number, since it uses less digits than its factorization.

1001010200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005051017 (or 5005051008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1001010200200 its reverse (20020101001), we get a palindrome (1021030301201).

The spelling of 1001010200200 in words is "one trillion, one billion, ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5005051001 10010102002 20020204004 25025255005 40040408008 50050510010 100101020020 125126275025 200202040040 250252550050 500505100100 1001010200200