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1030031000200 = 235214461356141
BaseRepresentation
bin11101111110100101010…
…00011100001010001000
310122110200122001022010201
432333102220130022020
5113334000414001300
62105104551021544
7134263062020326
oct16772250341210
93573618038121
101030031000200
11367919712924
1214776336a8b4
1376192bc5c47
1437bd4a40d16
151bbd7e6566a
hexefd2a1c288

1030031000200 has 48 divisors (see below), whose sum is σ = 2394994405860. Its totient is φ = 411982752000.

The previous prime is 1030031000177. The next prime is 1030031000203. The reversal of 1030031000200 is 20001300301.

It can be written as a sum of positive squares in 6 ways, for example, as 405542259684 + 624488740516 = 636822^2 + 790246^2 .

It is a super-2 number, since 2×10300310002002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1030031000203) 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 11 ways as a sum of consecutive naturals, for example, 2714130 + ... + 3070270.

Almost surely, 21030031000200 is an apocalyptic number.

1030031000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030031000200 is an abundant number, since it is smaller than the sum of its proper divisors (1364963405660).

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

1030031000200 is a wasteful number, since it uses less digits than its factorization.

1030031000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370618 (or 370609 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1030031000200 its reverse (20001300301), we get a palindrome (1050032300501).

The spelling of 1030031000200 in words is "one trillion, thirty billion, thirty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 14461 28922 57844 72305 115688 144610 289220 356141 361525 578440 712282 723050 1424564 1446100 1780705 2849128 2892200 3561410 7122820 8903525 14245640 17807050 35614100 71228200 5150155001 10300310002 20600620004 25750775005 41201240008 51501550010 103003100020 128753875025 206006200040 257507750050 515015500100 1030031000200