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1000200131300 = 2252291931787029
BaseRepresentation
bin11101000111000001001…
…00101101001011100100
310112121200200000011000102
432203200210231023210
5112341402213200200
62043252520003232
7132155614561136
oct16434044551344
93477620004012
101000200131300
11356200998567
12141a19000518
137341a89a826
14365a4c61056
151b03e0e96d5
hexe8e092d2e4

1000200131300 has 72 divisors (see below), whose sum is σ = 2256911668200. Its totient is φ = 384282501120.

The previous prime is 1000200131269. The next prime is 1000200131309. The reversal of 1000200131300 is 31310020001.

It can be written as a sum of positive squares in 12 ways, for example, as 432913993444 + 567286137856 = 657962^2 + 753184^2 .

It is not an unprimeable number, because it can be changed into a prime (1000200131309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333815 + ... + 1453214.

Almost surely, 21000200131300 is an apocalyptic number.

1000200131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000200131300 is an abundant number, since it is smaller than the sum of its proper divisors (1256711536900).

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

1000200131300 is a wasteful number, since it uses less digits than its factorization.

1000200131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787265 (or 1787258 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1000200131300 its reverse (31310020001), we get a palindrome (1031510151301).

The spelling of 1000200131300 in words is "one trillion, two hundred million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 193 290 386 580 725 772 965 1450 1930 2900 3860 4825 5597 9650 11194 19300 22388 27985 55970 111940 139925 279850 559700 1787029 3574058 7148116 8935145 17870290 35740580 44675725 51823841 89351450 103647682 178702900 207295364 259119205 344896597 518238410 689793194 1036476820 1295596025 1379586388 1724482985 2591192050 3448965970 5182384100 6897931940 8622414925 10002001313 17244829850 20004002626 34489659700 40008005252 50010006565 100020013130 200040026260 250050032825 500100065650 1000200131300