Search a number
-
+
212105712056212 = 221321017334238189
BaseRepresentation
bin110000001110100010110101…
…100111110011011110010100
31000211000002220202121000200001
4300032202311213303132110
5210300114444241244322
62031040004031501044
762451063163066612
oct6016426547633624
91024002822530601
10212105712056212
1161646588964667
121b957611987784
1391476379ba900
143a53d8511a6b2
15197c552905827
hexc0e8b59f3794

212105712056212 has 72 divisors (see below), whose sum is σ = 406467460226520. Its totient is φ = 96793432819200.

The previous prime is 212105712056201. The next prime is 212105712056213. The reversal of 212105712056212 is 212650217501212.

It can be written as a sum of positive squares in 12 ways, for example, as 40405677050116 + 171700035006096 = 6356546^2 + 13103436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212105712056213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47927214 + ... + 52165402.

It is an arithmetic number, because the mean of its divisors is an integer number (5645381392035).

Almost surely, 2212105712056212 is an apocalyptic number.

It is an amenable number.

212105712056212 is a deficient number, since it is larger than the sum of its proper divisors (194361748170308).

212105712056212 is a wasteful number, since it uses less digits than its factorization.

212105712056212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239053 (or 4239038 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

Adding to 212105712056212 its reverse (212650217501212), we get a palindrome (424755929557424).

The spelling of 212105712056212 in words is "two hundred twelve trillion, one hundred five billion, seven hundred twelve million, fifty-six thousand, two hundred twelve".

Divisors: 1 2 4 13 26 52 101 169 202 338 404 676 733 1313 1466 2626 2932 5252 9529 17069 19058 34138 38116 68276 74033 123877 148066 247754 296132 495508 962429 1924858 3849716 4238189 8476378 12511577 16952756 25023154 50046308 55096457 110192914 220385828 428057089 716253941 856114178 1432507882 1712228356 2865015764 3106592537 5564742157 6213185074 11129484314 12426370148 22258968628 40385702981 72341648041 80771405962 144683296082 161542811924 289366592164 313765846237 525014138753 627531692474 1050028277506 1255063384948 2100056555012 4078956001081 8157912002162 16315824004324 53026428014053 106052856028106 212105712056212