Search a number
-
+
1001100000200 = 23525005500001
BaseRepresentation
bin11101001000101100011…
…01011011101111001000
310112201000101021020002012
432210112031123233020
5112400223100001300
62043522103155052
7132220122412466
oct16442615335710
93481011236065
101001100000200
11356622940373
1214202a445a88
1373532149631
143664c585836
151b0930ec435
hexe91635bbc8

1001100000200 has 24 divisors (see below), whose sum is σ = 2327557500930. Its totient is φ = 400440000000.

The previous prime is 1001100000143. The next prime is 1001100000203. The reversal of 1001100000200 is 20000011001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 752212759204 + 248887240996 = 867302^2 + 498886^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1001100000203) 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, 2502749801 + ... + 2502750200.

Almost surely, 21001100000200 is an apocalyptic number.

1001100000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001100000200 is an abundant number, since it is smaller than the sum of its proper divisors (1326457500730).

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

1001100000200 is a wasteful number, since it uses less digits than its factorization.

1001100000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005500017 (or 5005500008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1001100000200 its reverse (20000011001), we get a palindrome (1021100011201).

The spelling of 1001100000200 in words is "one trillion, one billion, one hundred million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5005500001 10011000002 20022000004 25027500005 40044000008 50055000010 100110000020 125137500025 200220000040 250275000050 500550000100 1001100000200