Search a number
-
+
211211410124 = 2211213237319993
BaseRepresentation
bin1100010010110100101…
…1100101101011001100
3202012011200112022220102
43010231023211223030
511430030110110444
6241010145310232
721155005235621
oct3045513455314
9665150468812
10211211410124
1181635375600
1234b26335378
1316bbcc97470
14a3190a4348
15576287384e
hex312d2e5acc

211211410124 has 144 divisors (see below), whose sum is σ = 462828789696. Its totient is φ = 83601745920.

The previous prime is 211211410121. The next prime is 211211410127. The reversal of 211211410124 is 421014112112.

211211410124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211211410121) and next prime (211211410127).

It is a super-2 number, since 2×2112114101242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211410096 and 211211410105.

It is not an unprimeable number, because it can be changed into a prime (211211410121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10554272 + ... + 10574264.

Almost surely, 2211211410124 is an apocalyptic number.

It is an amenable number.

211211410124 is an abundant number, since it is smaller than the sum of its proper divisors (251617379572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211211410124 is a wasteful number, since it uses less digits than its factorization.

211211410124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20128 (or 20115 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211211410124 its reverse (421014112112), we get a palindrome (632225522236).

The spelling of 211211410124 in words is "two hundred eleven billion, two hundred eleven million, four hundred ten thousand, one hundred twenty-four".

Divisors: 1 2 4 11 13 22 23 26 44 46 52 73 92 121 143 146 242 253 286 292 299 484 506 572 598 803 949 1012 1196 1573 1606 1679 1898 2783 3146 3212 3289 3358 3796 5566 6292 6578 6716 8833 10439 11132 13156 17666 18469 19993 20878 21827 35332 36179 36938 39986 41756 43654 72358 73876 79972 87308 114829 144716 203159 219923 229658 240097 259909 406318 439846 459316 459839 480194 519818 812636 879692 919678 960388 1039636 1459489 1839356 2419153 2641067 2858999 2918978 4838306 5058229 5282134 5717998 5837956 5977907 9676612 10116458 10564268 11435996 11955814 16054379 18973357 20232916 23911628 31448989 32108758 33568247 37946714 55640519 62897978 64217516 65756977 67136494 75893428 111281038 125795956 131513954 134272988 176598169 208706927 222562076 263027908 353196338 369250717 417413854 436387211 706392676 723326747 738501434 834827708 872774422 1446653494 1477002868 1745548844 2295776197 2893306988 4061757887 4591552394 4800259321 8123515774 9183104788 9600518642 16247031548 19201037284 52802852531 105605705062 211211410124