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1011100200021 = 323723313031489
BaseRepresentation
bin11101011011010100100…
…01001010110001010101
310120122211022102000022100
432231222101022301111
5113031213122400041
62052254254152313
7133023001616142
oct16555221126125
93518738360270
101011100200021
1135a89478151a
12143b5b4b2699
1374466ba6a32
1436d1a75b3c9
151b47aee96b6
hexeb6a44ac55

1011100200021 has 24 divisors (see below), whose sum is σ = 1506388118040. Its totient is φ = 653033926656.

The previous prime is 1011100200017. The next prime is 1011100200029. The reversal of 1011100200021 is 1200020011101.

It is a happy number.

1011100200021 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 4 ways, for example, as 451463048100 + 559637151921 = 671910^2 + 748089^2 .

It is not a de Polignac number, because 1011100200021 - 22 = 1011100200017 is a prime.

It is a super-2 number, since 2×10111002000212 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011100199976 and 1011100200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100200029) 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, 6438156 + ... + 6593333.

It is an arithmetic number, because the mean of its divisors is an integer number (62766171585).

Almost surely, 21011100200021 is an apocalyptic number.

It is an amenable number.

1011100200021 is a deficient number, since it is larger than the sum of its proper divisors (495287918019).

1011100200021 is a wasteful number, since it uses less digits than its factorization.

1011100200021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13031765 (or 13031762 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011100200021 its reverse (1200020011101), we get a palindrome (2211120211122).

It can be divided in two parts, 1011100 and 200021, that added together give a palindrome (1211121).

The spelling of 1011100200021 in words is "one trillion, eleven billion, one hundred million, two hundred thousand, twenty-one".

Divisors: 1 3 9 37 111 233 333 699 2097 8621 25863 77589 13031489 39094467 117283401 482165093 1446495279 3036336937 4339485837 9109010811 27327032433 112344466669 337033400007 1011100200021