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10011012021 = 34330137441
BaseRepresentation
bin10010101001011001…
…11110101110110101
3221211200111002210000
421110230332232311
5131000304341041
64333214421513
7503040124653
oct112454765665
927750432700
1010011012021
114277a5655a
121b34801899
13c3707486a
146ad7cbdd3
153d8d35bb6
hex254b3ebb5

10011012021 has 20 divisors (see below), whose sum is σ = 14959651564. Its totient is φ = 6671808000.

The previous prime is 10011012017. The next prime is 10011012059. The reversal of 10011012021 is 12021011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3625244100 + 6385767921 = 60210^2 + 79911^2 .

It is not a de Polignac number, because 10011012021 - 22 = 10011012017 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011011994 and 10011012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011012521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 248661 + ... + 286101.

Almost surely, 210011012021 is an apocalyptic number.

It is an amenable number.

10011012021 is a deficient number, since it is larger than the sum of its proper divisors (4948639543).

10011012021 is an equidigital number, since it uses as much as digits as its factorization.

10011012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40754 (or 40745 counting only the distinct ones).

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

Adding to 10011012021 its reverse (12021011001), we get a palindrome (22032023022).

The spelling of 10011012021 in words is "ten billion, eleven million, twelve thousand, twenty-one".

Divisors: 1 3 9 27 81 3301 9903 29709 37441 89127 112323 267381 336969 1010907 3032721 123592741 370778223 1112334669 3337004007 10011012021