Search a number
-
+
20121001202211 = 37133723968312203
BaseRepresentation
bin1001001001100110010010…
…01000010001001000100011
32122020112211011120110101120
410210303021020101020203
510114130302301432321
6110443243233503323
74144460111203110
oct444631110211043
978215734513346
1020121001202211
1164582a56971a8
12230b702711b43
13b2c52ca39540
144d7c0c545907
1524d5d7ba8ec6
hex124cc9211223

20121001202211 has 128 divisors (see below), whose sum is σ = 34106028687360. Its totient is φ = 10267325849088.

The previous prime is 20121001202191. The next prime is 20121001202233. The reversal of 20121001202211 is 11220210012102.

It is not a de Polignac number, because 20121001202211 - 29 = 20121001201699 is a prime.

It is a super-2 number, since 2×201210012022112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20121001602211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1648850836 + ... + 1648863038.

It is an arithmetic number, because the mean of its divisors is an integer number (266453349120).

Almost surely, 220121001202211 is an apocalyptic number.

20121001202211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20121001202211 is a deficient number, since it is larger than the sum of its proper divisors (13985027485149).

20121001202211 is a wasteful number, since it uses less digits than its factorization.

20121001202211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13185.

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

Adding to 20121001202211 its reverse (11220210012102), we get a palindrome (31341211214313).

The spelling of 20121001202211 in words is "twenty trillion, one hundred twenty-one billion, one million, two hundred two thousand, two hundred eleven".

Divisors: 1 3 7 13 21 37 39 91 111 239 259 273 481 683 717 777 1443 1673 2049 3107 3367 4781 5019 8843 8879 9321 10101 12203 14343 21749 25271 26529 26637 36609 61901 62153 65247 75813 85421 114959 158639 163237 176897 185703 186459 256263 328523 344877 451511 475917 489711 530691 804713 985569 1110473 1142659 1354533 2122081 2299661 2414139 2916517 3160577 3331419 3427977 5869643 6039769 6366243 6898983 8334649 8749551 9481731 14854567 17608929 18119307 20415619 25003947 37914721 41087501 42278383 44563701 58342543 61246857 78516997 107911129 108350437 113744163 123262503 126835149 175027629 235550991 265403047 308382013 323733387 325051311 549618979 755377903 758453059 796209141 925146039 1402844677 1648856937 1991981111 2158674091 2266133709 2275359177 4008966169 4208534031 5975943333 6476022273 9819912739 12026898507 13943867777 25895754443 28062763183 29459738217 41831603331 73703301107 77687263329 84188289549 181270281101 221109903321 515923107749 543810843303 958142914391 1547769323247 2874428743173 6707000400737 20121001202211