Search a number
-
+
211150541025 = 3252311371491483
BaseRepresentation
bin1100010010100110001…
…1011001000011100001
3202012000102222212012100
43010221203121003201
511424414014303100
6241000132521013
721153335661654
oct3045143310341
9665012885170
10211150541025
1181603a80766
1234b09a80169
1316bb04a4a48
14a310d7b89b
15575c34d400
hex31298d90e1

211150541025 has 144 divisors (see below), whose sum is σ = 396149644800. Its totient is φ = 107386905600.

The previous prime is 211150540967. The next prime is 211150541047. The reversal of 211150541025 is 520145051112.

It is a happy number.

211150541025 is a `hidden beast` number, since 2 + 1 + 115 + 0 + 541 + 0 + 2 + 5 = 666.

It is not a de Polignac number, because 211150541025 - 221 = 211148443873 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211150541025.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142379934 + ... + 142381416.

It is an arithmetic number, because the mean of its divisors is an integer number (2751039200).

Almost surely, 2211150541025 is an apocalyptic number.

211150541025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211150541025 is a deficient number, since it is larger than the sum of its proper divisors (184999103775).

211150541025 is a wasteful number, since it uses less digits than its factorization.

211150541025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 211150541025 its reverse (520145051112), we get a palindrome (731295592137).

The spelling of 211150541025 in words is "two hundred eleven billion, one hundred fifty million, five hundred forty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 137 149 155 225 279 411 447 465 685 745 775 1233 1341 1395 1483 2055 2235 2325 3425 3725 4247 4449 4619 6165 6705 6975 7415 10275 11175 12741 13347 13857 20413 21235 22245 23095 30825 33525 37075 38223 41571 45973 61239 63705 66735 69285 102065 106175 111225 115475 137919 183717 191115 203171 207855 220967 229865 306195 318525 333675 346425 413757 510325 609513 632803 662901 689595 918585 955575 1015855 1039275 1104835 1149325 1530975 1828539 1898409 1988703 2068785 3047565 3164015 3314505 3447975 4592925 5079275 5524175 5695227 6298301 6849977 9142695 9492045 9943515 10343925 15237825 15820075 16572525 18894903 20549931 28476135 30272479 31491505 34249885 45713475 47460225 49717575 56684709 61649793 90817437 94474515 102749655 142380675 151362395 157457525 171249425 272452311 283423545 308248965 454087185 472372575 513748275 756811975 938446849 1362261555 1417117725 1541244825 2270435925 2815340547 4692234245 6811307775 8446021641 14076702735 23461171225 42230108205 70383513675 211150541025