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21115504143225 = 32522916097201037
BaseRepresentation
bin1001100110100010101100…
…00111111010101101111001
32202202121210210022100120100
410303101112013322231321
510231424023030040400
6112524154555150013
74306354606550112
oct463212607725571
982677723270510
1021115504143225
116801042677338
1224503ab745309
13ba22501b0c4b
1452ddd289d209
152693e1a32100
hex1334561fab79

21115504143225 has 72 divisors (see below), whose sum is σ = 39126984563160. Its totient is φ = 10872541532160.

The previous prime is 21115504143091. The next prime is 21115504143241. The reversal of 21115504143225 is 52234140551112.

21115504143225 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 5 + 504 + 143 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8909222068224 + 12206282075001 = 2984832^2 + 3493749^2 .

It is not a de Polignac number, because 21115504143225 - 29 = 21115504142713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21115504143225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104932407 + ... + 105133443.

It is an arithmetic number, because the mean of its divisors is an integer number (543430341155).

Almost surely, 221115504143225 is an apocalyptic number.

21115504143225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21115504143225 is a deficient number, since it is larger than the sum of its proper divisors (18011480419935).

21115504143225 is a wasteful number, since it uses less digits than its factorization.

21115504143225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217179 (or 217171 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 21115504143225 its reverse (52234140551112), we get a palindrome (73349644694337).

The spelling of 21115504143225 in words is "twenty-one trillion, one hundred fifteen billion, five hundred four million, one hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 16097 48291 80485 144873 201037 241455 402425 466813 603111 724365 1005185 1207275 1400439 1809333 2334065 3015555 3621825 4201317 5025925 5830073 7002195 9046665 11670325 15077775 17490219 21006585 29150365 35010975 45233325 52470657 87451095 105032925 145751825 262353285 437255475 1311766425 3236092589 9708277767 16180462945 29124833301 48541388835 80902314725 93846685081 145624166505 242706944175 281540055243 469233425405 728120832525 844620165729 1407700276215 2346167127025 4223100828645 7038501381075 21115504143225