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110001120021 = 32132385739409
BaseRepresentation
bin110011001110010010…
…0111110001100010101
3101111221011111212202100
41212130210332030111
53300240241320041
6122311145432313
710642634043552
oct1463444761425
9344834455670
10110001120021
1142718845651
121939b19b699
13a4b07cc940
1454773d5a29
152cdc2696b6
hex199c93e315

110001120021 has 24 divisors (see below), whose sum is σ = 171124367960. Its totient is φ = 67688441856.

The previous prime is 110001120013. The next prime is 110001120077. The reversal of 110001120021 is 120021100011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 383180625 + 109617939396 = 19575^2 + 331086^2 .

It is not a de Polignac number, because 110001120021 - 23 = 110001120013 is a prime.

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 = 110001119985 and 110001120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001120221) 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 23 ways as a sum of consecutive naturals, for example, 2771565 + ... + 2810973.

Almost surely, 2110001120021 is an apocalyptic number.

It is an amenable number.

110001120021 is a deficient number, since it is larger than the sum of its proper divisors (61123247939).

110001120021 is a wasteful number, since it uses less digits than its factorization.

110001120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63285 (or 63282 counting only the distinct ones).

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

Adding to 110001120021 its reverse (120021100011), we get a palindrome (230022220032).

The spelling of 110001120021 in words is "one hundred ten billion, one million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 13 39 117 23857 39409 71571 118227 214713 310141 354681 512317 930423 1536951 2791269 4610853 940180513 2820541539 8461624617 12222346669 36667040007 110001120021