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21010242141 = 327596139221
BaseRepresentation
bin10011100100010011…
…101101101001011101
32000020020110212221100
4103210103231221131
5321012110222031
613352454223313
71342440053160
oct234423555135
960206425840
1021010242141
118a01808989
1240a4354b39
131c9aa8c955
14103453bad7
1582e7c1de6
hex4e44eda5d

21010242141 has 48 divisors (see below), whose sum is σ = 35332801920. Its totient is φ = 11781832320.

The previous prime is 21010242137. The next prime is 21010242173. The reversal of 21010242141 is 14124201012.

It is not a de Polignac number, because 21010242141 - 22 = 21010242137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010242131) 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 47 ways as a sum of consecutive naturals, for example, 2273911 + ... + 2283131.

It is an arithmetic number, because the mean of its divisors is an integer number (736100040).

Almost surely, 221010242141 is an apocalyptic number.

21010242141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21010242141 is a deficient number, since it is larger than the sum of its proper divisors (14322559779).

21010242141 is a wasteful number, since it uses less digits than its factorization.

21010242141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 9903 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21010242141 its reverse (14124201012), we get a palindrome (35134443153).

The spelling of 21010242141 in words is "twenty-one billion, ten million, two hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 59 63 177 413 531 613 1239 1839 3717 4291 5517 9221 12873 27663 36167 38619 64547 82989 108501 193641 253169 325503 544039 580923 759507 1632117 2278521 3808273 4896351 5652473 11424819 16957419 34274457 39567311 50872257 118701933 333495907 356105799 1000487721 2334471349 3001463163 7003414047 21010242141