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1010013212021 = 11531732441187
BaseRepresentation
bin11101011001010010111…
…10101000110101110101
310120120000120001022002112
432230221132220311311
5113022001340241041
62051554344220405
7132654032436002
oct16545136506565
93516016038075
101010013212021
1135a387144330
121438b746a705
1374322930878
1436c562488a9
151b415883deb
hexeb297a8d75

1010013212021 has 8 divisors (see below), whose sum is σ = 1122621889824. Its totient is φ = 900869416720.

The previous prime is 1010013212009. The next prime is 1010013212029. The reversal of 1010013212021 is 1202123100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010013212021 - 218 = 1010012949877 is a prime.

It is a super-3 number, since 3×10100132120213 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010013211987 and 1010013212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010013212029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 866220011 + ... + 866221176.

It is an arithmetic number, because the mean of its divisors is an integer number (140327736228).

Almost surely, 21010013212021 is an apocalyptic number.

1010013212021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010013212021 is a deficient number, since it is larger than the sum of its proper divisors (112608677803).

1010013212021 is a wasteful number, since it uses less digits than its factorization.

1010013212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732441251.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1010013212021 its reverse (1202123100101), we get a palindrome (2212136312122).

The spelling of 1010013212021 in words is "one trillion, ten billion, thirteen million, two hundred twelve thousand, twenty-one".

Divisors: 1 11 53 583 1732441187 19056853057 91819382911 1010013212021