Search a number
-
+
201210100022211 = 37238983914813767
BaseRepresentation
bin101101101111111111100000…
…100010010111101111000011
3222101102111102211022110100120
4231233333200202113233003
5202333111241101202321
61551534351024351323
760244643564636460
oct5557774042275703
9871374384273316
10201210100022211
11591257a6a20635
121a697a47475543
1388370531b4997
1437988996aa667
15183de0a7e3ec6
hexb6ffe0897bc3

201210100022211 has 128 divisors (see below), whose sum is σ = 324221725900800. Its totient is φ = 108510720890880.

The previous prime is 201210100022189. The next prime is 201210100022311. The reversal of 201210100022211 is 112220001012102.

It is not a de Polignac number, because 201210100022211 - 26 = 201210100022147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201210100022311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53413881850 + ... + 53413885616.

It is an arithmetic number, because the mean of its divisors is an integer number (2532982233600).

Almost surely, 2201210100022211 is an apocalyptic number.

201210100022211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201210100022211 is a deficient number, since it is larger than the sum of its proper divisors (123011625878589).

201210100022211 is a wasteful number, since it uses less digits than its factorization.

201210100022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201210100022211 its reverse (112220001012102), we get a palindrome (313430101034313).

The spelling of 201210100022211 in words is "two hundred one trillion, two hundred ten billion, one hundred million, twenty-two thousand, two hundred eleven".

Divisors: 1 3 7 21 23 69 89 161 267 483 623 839 1481 1869 2047 2517 3767 4443 5873 6141 10367 11301 14329 17619 19297 26369 31101 34063 42987 57891 74671 79107 86641 102189 131809 135079 224013 238441 259923 335263 395427 405237 522697 606487 715323 922663 1005789 1242559 1568091 1717433 1819461 2346841 2767989 3031607 3160513 3727677 5152299 5578927 7040523 7711049 8697913 9094821 9481539 12022031 16736781 21221249 22123591 23133147 26093739 28578857 36066093 39052489 53977343 63663747 66370773 72691799 85736571 110587751 117157467 128315321 161932029 200051999 218075397 281285657 331763253 384945963 496524503 508842593 600155997 774114257 843856971 898207247 1489573509 1526527779 1968999599 2322342771 2543518273 2694621741 3475671521 4680719753 5906998797 6469570111 7630554819 10427014563 11420063569 14042159259 17804627911 19408710333 32765038271 34260190707 45286990777 53413883733 79940444983 98295114813 107656554319 135860972331 239821334949 322969662957 416584058017 753595880233 1249752174051 2260787640699 2916088406119 8748265218357 9581433334391 28744300003173 67070033340737 201210100022211