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212110020011220 = 223517449463142539
BaseRepresentation
bin110000001110100110110110…
…011001010110010011010100
31000211000112000222202210222020
4300032212312121112103110
5210300202310110324340
62031041555322133140
762451305013104322
oct6016466631262324
91024015028683866
10212110020011220
1161648399665a61
121b9584146511b0
139147b73363c06
143a54273314d12
15197c705c0b9d0
hexc0e9b66564d4

212110020011220 has 96 divisors (see below), whose sum is σ = 630244368432000. Its totient is φ = 53116891398144.

The previous prime is 212110020011207. The next prime is 212110020011221. The reversal of 212110020011220 is 22110020011212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212110020011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212110020011221) 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, 231113290 + ... + 232029249.

It is an arithmetic number, because the mean of its divisors is an integer number (6565045504500).

Almost surely, 2212110020011220 is an apocalyptic number.

212110020011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110020011220 is an abundant number, since it is smaller than the sum of its proper divisors (418134348420780).

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

212110020011220 is a wasteful number, since it uses less digits than its factorization.

212110020011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463143017 (or 463143015 counting only the distinct ones).

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

Adding to 212110020011220 its reverse (22110020011212), we get a palindrome (234220040022432).

The spelling of 212110020011220 in words is "two hundred twelve trillion, one hundred ten billion, twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 449 510 898 1020 1347 1796 2245 2694 4490 5388 6735 7633 8980 13470 15266 22899 26940 30532 38165 45798 76330 91596 114495 152660 228990 457980 463142539 926285078 1389427617 1852570156 2315712695 2778855234 4631425390 5557710468 6947138085 7873423163 9262850780 13894276170 15746846326 23620269489 27788552340 31493692652 39367115815 47240538978 78734231630 94481077956 118101347445 157468463260 207951000011 236202694890 415902000022 472405389780 623853000033 831804000044 1039755000055 1247706000066 2079510000110 2495412000132 3119265000165 3535167000187 4159020000220 6238530000330 7070334000374 10605501000561 12477060000660 14140668000748 17675835000935 21211002001122 35351670001870 42422004002244 53027505002805 70703340003740 106055010005610 212110020011220