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10402101021 = 3134153122743
BaseRepresentation
bin10011011000000001…
…10111011100011101
3222211221101111000210
421230000313130131
5132300414213041
64440105043033
7515526254064
oct115400673435
928757344023
1010402101021
114458795504
122023786479
13c9a0b6180
147097131db
1540d339016
hex26c03771d

10402101021 has 32 divisors (see below), whose sum is σ = 15589469952. Its totient is φ = 6127280640.

The previous prime is 10402101011. The next prime is 10402101029. The reversal of 10402101021 is 12010120401.

It is a happy number.

10402101021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10402101021 - 27 = 10402100893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10402100988 and 10402101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402101029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23376 + ... + 146118.

It is an arithmetic number, because the mean of its divisors is an integer number (487170936).

Almost surely, 210402101021 is an apocalyptic number.

It is an amenable number.

10402101021 is a deficient number, since it is larger than the sum of its proper divisors (5187368931).

10402101021 is a wasteful number, since it uses less digits than its factorization.

10402101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122853.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10402101021 its reverse (12010120401), we get a palindrome (22412221422).

The spelling of 10402101021 in words is "ten billion, four hundred two million, one hundred one thousand, twenty-one".

Divisors: 1 3 13 39 41 53 123 159 533 689 1599 2067 2173 6519 28249 84747 122743 368229 1595659 4786977 5032463 6505379 15097389 19516137 65422019 84569927 196266057 253709781 266720539 800161617 3467367007 10402101021