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5172721101 = 3319313759149
BaseRepresentation
bin1001101000101000…
…10111010111001101
3111100111101110101000
410310110113113031
541043204033401
62213141210513
7242120255352
oct46424272715
914314343330
105172721101
112214958a19
121004400a39
13645884622
14370dc2629
152041c3186
hex1345175cd

5172721101 has 128 divisors (see below), whose sum is σ = 8755200000. Its totient is φ = 3003713280.

The previous prime is 5172721069. The next prime is 5172721123. The reversal of 5172721101 is 1011272715.

5172721101 is a `hidden beast` number, since 517 + 27 + 21 + 101 = 666.

It is not a de Polignac number, because 5172721101 - 25 = 5172721069 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5172722101) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 34716175 + ... + 34716323.

It is an arithmetic number, because the mean of its divisors is an integer number (68400000).

Almost surely, 25172721101 is an apocalyptic number.

It is an amenable number.

5172721101 is a deficient number, since it is larger than the sum of its proper divisors (3582478899).

5172721101 is a wasteful number, since it uses less digits than its factorization.

5172721101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The square root of 5172721101 is about 71921.6316625256. The cubic root of 5172721101 is about 1729.4434042029.

Adding to 5172721101 its reverse (1011272715), we get a palindrome (6183993816).

The spelling of 5172721101 in words is "five billion, one hundred seventy-two million, seven hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 19 27 31 37 57 59 93 111 149 171 177 279 333 447 513 531 589 703 837 999 1121 1147 1341 1593 1767 1829 2109 2183 2831 3363 3441 4023 4619 5301 5487 5513 6327 6549 8493 8791 10089 10323 13857 15903 16461 16539 18981 19647 21793 25479 26373 30267 30969 34751 41477 41571 49383 49617 58941 65379 67673 76437 79119 87761 104253 104747 124431 124713 148851 167029 170903 196137 203019 237357 263283 272521 312759 314241 325267 373293 501087 512709 588411 609057 789849 817563 938277 942723 975801 1119879 1285787 1503261 1538127 1827171 2369547 2452689 2828169 2927403 3247157 3857361 4509783 4614381 5177899 6180073 7358067 8782209 9741471 10083277 11572083 15533697 18540219 29224413 30249831 34716249 46601091 55620657 87673239 90749493 139803273 166861971 191582263 272248479 574746789 1724240367 5172721101