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21211245225 = 355279193229
BaseRepresentation
bin10011110000010010…
…011110101010101001
32000202020200220100000
4103300102132222221
5321420034321400
613424434333213
71350430416042
oct236022365251
960666626300
1021211245225
118aa5216535
12413b72a209
1320006086a1
1410531018c9
15842278600
hex4f049eaa9

21211245225 has 144 divisors (see below), whose sum is σ = 40279366400. Its totient is φ = 11063070720.

The previous prime is 21211245161. The next prime is 21211245281. The reversal of 21211245225 is 52254211212.

21211245225 is a `hidden beast` number, since 2 + 12 + 1 + 124 + 522 + 5 = 666.

It is not a de Polignac number, because 21211245225 - 26 = 21211245161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 92625411 + ... + 92625639.

Almost surely, 221211245225 is an apocalyptic number.

21211245225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21211245225 is a deficient number, since it is larger than the sum of its proper divisors (19068121175).

21211245225 is a wasteful number, since it uses less digits than its factorization.

21211245225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 509 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

Adding to 21211245225 its reverse (52254211212), we get a palindrome (73465456437).

The spelling of 21211245225 in words is "twenty-one billion, two hundred eleven million, two hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 79 81 135 193 225 229 237 243 395 405 579 675 687 711 965 1145 1185 1215 1737 1975 2025 2061 2133 2895 3435 3555 4825 5211 5725 5925 6075 6183 6399 8685 10305 10665 14475 15247 15633 17175 17775 18091 18549 19197 26055 30915 31995 43425 44197 45741 46899 51525 53325 54273 55647 76235 78165 90455 92745 95985 130275 132591 137223 154575 159975 162819 220985 228705 234495 271365 278235 381175 390825 397773 411669 452275 463725 479925 488457 662955 686115 814095 1104925 1143525 1172475 1193319 1235007 1356825 1391175 1465371 1988865 2058345 2442285 3314775 3430575 3491563 3579957 3705021 4070475 4396113 5966595 6175035 7326855 9944325 10291725 10474689 10739871 12211425 17457815 17899785 18525105 21980565 29832975 30875175 31424067 36634275 52373445 53699355 87289075 89498925 92625525 94272201 109902825 157120335 261867225 268496775 282816603 471361005 785601675 848449809 1414083015 2356805025 4242249045 7070415075 21211245225