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1014300010100 = 225213780230777
BaseRepresentation
bin11101100001010001111…
…11011110011001110100
310120222002022102012112202
432300220333132121310
5113104241300310400
62053544001204032
7133165204555406
oct16605077363164
93528068365482
101014300010100
11361186a05163
121446b3030618
1374856aa9c90
14371416d6b76
151b5b6dab4d5
hexec28fde674

1014300010100 has 36 divisors (see below), whose sum is σ = 2370341103564. Its totient is φ = 374510772480.

The previous prime is 1014300010063. The next prime is 1014300010127. The reversal of 1014300010100 is 10100034101.

It can be written as a sum of positive squares in 6 ways, for example, as 272310723556 + 741989286544 = 521834^2 + 861388^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390114089 + ... + 390116688.

Almost surely, 21014300010100 is an apocalyptic number.

1014300010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014300010100 is an abundant number, since it is smaller than the sum of its proper divisors (1356041093464).

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

1014300010100 is a wasteful number, since it uses less digits than its factorization.

1014300010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780230804 (or 780230797 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1014300010100 its reverse (10100034101), we get a palindrome (1024400044201).

The spelling of 1014300010100 in words is "one trillion, fourteen billion, three hundred million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 780230777 1560461554 3120923108 3901153885 7802307770 10143000101 15604615540 19505769425 20286000202 39011538850 40572000404 50715000505 78023077700 101430001010 202860002020 253575002525 507150005050 1014300010100