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10211001021 = 341313969763
BaseRepresentation
bin10011000001001111…
…11000001010111101
3222100121210121010000
421200213320022331
5131403004013041
64405121104513
7511016035164
oct114047701275
928317717100
1010211001021
11436a931221
121b8b788139
13c69626b50
146cc1aa3db
153eb68bbb6
hex2609f82bd

10211001021 has 40 divisors (see below), whose sum is σ = 16545230240. Its totient is φ = 6238397088.

The previous prime is 10211001019. The next prime is 10211001113. The reversal of 10211001021 is 12010011201.

It is a happy number.

10211001021 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 10211001021 - 21 = 10211001019 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 = 10211000994 and 10211001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211001721) 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 39 ways as a sum of consecutive naturals, for example, 111486 + ... + 181248.

It is an arithmetic number, because the mean of its divisors is an integer number (413630756).

Almost surely, 210211001021 is an apocalyptic number.

It is an amenable number.

10211001021 is a deficient number, since it is larger than the sum of its proper divisors (6334229219).

10211001021 is a wasteful number, since it uses less digits than its factorization.

10211001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69927 (or 69918 counting only the distinct ones).

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

Adding to 10211001021 its reverse (12010011201), we get a palindrome (22221012222).

It can be divided in two parts, 1021100 and 1021, that added together give a square (1022121 = 10112).

The spelling of 10211001021 in words is "ten billion, two hundred eleven million, one thousand, twenty-one".

Divisors: 1 3 9 13 27 39 81 117 139 351 417 1053 1251 1807 3753 5421 11259 16263 48789 69763 146367 209289 627867 906919 1883601 2720757 5650803 8162271 9697057 24486813 29091171 73460439 87273513 126061741 261820539 378185223 785461617 1134555669 3403667007 10211001021