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1010413341020 = 225211239434441
BaseRepresentation
bin11101011010000010101…
…01000000100101011100
310120121001102221221220002
432231001111000211130
5113023311303403040
62052102200313432
7132666661455566
oct16550125004534
93517042857802
101010413341020
1135a571a98156
121439a9472878
13743877b8aa5
1436c93444336
151b43aa70a15
hexeb4154095c

1010413341020 has 24 divisors (see below), whose sum is σ = 2131924271568. Its totient is φ = 402249859200.

The previous prime is 1010413341019. The next prime is 1010413341043. The reversal of 1010413341020 is 201433140101.

It is a super-4 number, since 4×10104133410204 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1010413340983 and 1010413341001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119713001 + ... + 119721440.

It is an arithmetic number, because the mean of its divisors is an integer number (88830177982).

Almost surely, 21010413341020 is an apocalyptic number.

1010413341020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010413341020 is an abundant number, since it is smaller than the sum of its proper divisors (1121510930548).

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

1010413341020 is a wasteful number, since it uses less digits than its factorization.

1010413341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239434661 (or 239434659 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1010413341020 its reverse (201433140101), we get a palindrome (1211846481121).

The spelling of 1010413341020 in words is "one trillion, ten billion, four hundred thirteen million, three hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 211 422 844 1055 2110 4220 239434441 478868882 957737764 1197172205 2394344410 4788688820 50520667051 101041334102 202082668204 252603335255 505206670510 1010413341020