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212101110012220 = 2251113101734269577
BaseRepresentation
bin110000001110011110100011…
…010100011001100100111100
31000210222200001001000222010021
4300032132203110121210330
5210300031033130342340
62031033523234021524
762450541142262002
oct6016364324314474
91023880031028107
10212101110012220
1161644637156920
121b9567487178a4
139147083436160
143a53a69c4aa72
15197c3838abe4a
hexc0e7a351993c

212101110012220 has 96 divisors (see below), whose sum is σ = 528462626521536. Its totient is φ = 70489879296000.

The previous prime is 212101110012217. The next prime is 212101110012223. The reversal of 212101110012220 is 22210011101212.

It is an interprime number because it is at equal distance from previous prime (212101110012217) and next prime (212101110012223).

It is a super-2 number, since 2×2121011100122202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212101110012194 and 212101110012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101110012223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366845929 + ... + 367423648.

It is an arithmetic number, because the mean of its divisors is an integer number (5504819026266).

Almost surely, 2212101110012220 is an apocalyptic number.

212101110012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101110012220 is an abundant number, since it is smaller than the sum of its proper divisors (316361516509316).

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

212101110012220 is a wasteful number, since it uses less digits than its factorization.

212101110012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734269711 (or 734269709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212101110012220 its reverse (22210011101212), we get a palindrome (234311121113432).

The spelling of 212101110012220 in words is "two hundred twelve trillion, one hundred one billion, one hundred ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 101 110 130 143 202 220 260 286 404 505 572 715 1010 1111 1313 1430 2020 2222 2626 2860 4444 5252 5555 6565 11110 13130 14443 22220 26260 28886 57772 72215 144430 288860 734269577 1468539154 2937078308 3671347885 7342695770 8076965347 9545504501 14685391540 16153930694 19091009002 32307861388 38182018004 40384826735 47727522505 74161227277 80769653470 95455045010 105000549511 148322454554 161539306940 190910090020 210001099022 296644909108 370806136385 420002198044 525002747555 741612272770 815773500047 964095954601 1050005495110 1483224545540 1631547000094 1928191909202 2100010990220 3263094000188 3856383818404 4078867500235 4820479773005 8157735000470 9640959546010 10605055500611 16315470000940 19281919092020 21210111001222 42420222002444 53025277503055 106050555006110 212101110012220