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21002096241 = 32726721032
BaseRepresentation
bin10011100011110100…
…101000111001110001
32000012200011000212100
4103203310220321301
5321003014034431
613352003451013
71342310605200
oct234364507161
960180130770
1021002096241
1189a8154835
1240a1686a69
131c99199ca9
14103341b237
1582dc134e6
hex4e3d28e71

21002096241 has 81 divisors (see below), whose sum is σ = 36174983481. Its totient is φ = 11707298064.

The previous prime is 21002096239. The next prime is 21002096243. The reversal of 21002096241 is 14269020012.

The square root of 21002096241 is 144921.

It is a perfect power (a square), and thus also a powerful number.

21002096241 is a `hidden beast` number, since 2 + 10 + 0 + 20 + 9 + 624 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21002096239) and next prime (21002096243).

It is not a de Polignac number, because 21002096241 - 21 = 21002096239 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21002096243) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 203903796 + ... + 203903898.

Almost surely, 221002096241 is an apocalyptic number.

21002096241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21002096241 is the 144921-st square number.

21002096241 is the 72461-st centered octagonal number.

It is an amenable number.

21002096241 is a deficient number, since it is larger than the sum of its proper divisors (15172887240).

21002096241 is an equidigital number, since it uses as much as digits as its factorization.

21002096241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 21002096241 in words is "twenty-one billion, two million, ninety-six thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 67 103 147 201 309 441 469 603 721 927 1407 2163 3283 4221 4489 5047 6489 6901 9849 10609 13467 15141 20703 29547 31423 31827 40401 45423 48307 62109 74263 94269 95481 144921 219961 222789 282807 338149 434763 462367 519841 659883 668367 710803 1014447 1387101 1559523 1979649 2132409 3043341 3236569 4161303 4678569 4975621 6397227 9709707 14926863 22655983 29129121 34829347 44780589 47623801 67967949 104488041 142871403 203903847 313464123 333366607 428614209 1000099821 2333566249 3000299463 7000698747 21002096241