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1000202000200 = 235213384693077
BaseRepresentation
bin11101000111000001010…
…11110101011101001000
310112121200210112002122221
432203200223311131020
5112341403203001300
62043253024023424
7132155636503624
oct16434053653510
93477623462587
101000202000200
11356201a54707
12141a19761b74
137341b0a33a0
14365a51ca184
151b03e36831a
hexe8e0af5748

1000202000200 has 48 divisors (see below), whose sum is σ = 2504351937780. Its totient is φ = 369305352960.

The previous prime is 1000202000183. The next prime is 1000202000207. The reversal of 1000202000200 is 20002020001.

It is a happy number.

1000202000200 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 6 ways, for example, as 413240694244 + 586961305956 = 642838^2 + 766134^2 .

It is not an unprimeable number, because it can be changed into a prime (1000202000207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192343939 + ... + 192349138.

Almost surely, 21000202000200 is an apocalyptic number.

1000202000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000202000200 is an abundant number, since it is smaller than the sum of its proper divisors (1504149937580).

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

1000202000200 is a wasteful number, since it uses less digits than its factorization.

1000202000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384693106 (or 384693097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 1000202000200 its reverse (20002020001), we get a palindrome (1020204020201).

The spelling of 1000202000200 in words is "one trillion, two hundred two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 384693077 769386154 1538772308 1923465385 3077544616 3846930770 5001010001 7693861540 9617326925 10002020002 15387723080 19234653850 20004040004 25005050005 38469307700 40008080008 50010100010 76938615400 100020200020 125025250025 200040400040 250050500050 500101000100 1000202000200