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21000101241 = 3717101957727
BaseRepresentation
bin10011100011101101…
…000001110101111001
32000012112101200020110
4103203231001311321
5321002011214431
613351453014533
71342254625650
oct234355016571
960175350213
1021000101241
1189a7011979
1240a0a84449
131c9894bc12
14103305c197
1582d96c346
hex4e3b41d79

21000101241 has 32 divisors (see below), whose sum is σ = 33916354560. Its totient is φ = 11282893056.

The previous prime is 21000101237. The next prime is 21000101321. The reversal of 21000101241 is 14210100012.

It is a happy number.

It is not a de Polignac number, because 21000101241 - 22 = 21000101237 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21000101141) 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 31 ways as a sum of consecutive naturals, for example, 334920 + ... + 392646.

It is an arithmetic number, because the mean of its divisors is an integer number (1059886080).

Almost surely, 221000101241 is an apocalyptic number.

21000101241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21000101241 is a deficient number, since it is larger than the sum of its proper divisors (12916253319).

21000101241 is a wasteful number, since it uses less digits than its factorization.

21000101241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58773.

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

Adding to 21000101241 its reverse (14210100012), we get a palindrome (35210201253).

The spelling of 21000101241 in words is "twenty-one billion, one hundred one thousand, two hundred forty-one".

Divisors: 1 3 7 17 21 51 119 357 1019 3057 7133 17323 21399 51969 57727 121261 173181 363783 404089 981359 1212267 2944077 6869513 20608539 58823813 176471439 411766691 1000004821 1235300073 3000014463 7000033747 21000101241