Search a number
-
+
201211111020220 = 22573413585171971
BaseRepresentation
bin101101110000000000011100…
…110011000001011010111100
3222101102121001021200110220021
4231300000130303001122330
5202333120323410121340
61551535035221501524
760245010622164520
oct5560003463013274
9871377037613807
10201211111020220
1159126175676384
121a698089b718a4
1388371847a2a62
143798953a7bd80
15183de69448e4a
hexb7001ccc16bc

201211111020220 has 96 divisors (see below), whose sum is σ = 483137427902976. Its totient is φ = 68953708512000.

The previous prime is 201211111020209. The next prime is 201211111020229. The reversal of 201211111020220 is 22020111112102.

201211111020220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2012111110202202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201211111020194 and 201211111020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211111020229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795688835 + ... + 2795760805.

It is an arithmetic number, because the mean of its divisors is an integer number (5032681540656).

Almost surely, 2201211111020220 is an apocalyptic number.

201211111020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211111020220 is an abundant number, since it is smaller than the sum of its proper divisors (281926316882756).

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

201211111020220 is a wasteful number, since it uses less digits than its factorization.

201211111020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81251 (or 81249 counting only the distinct ones).

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

Adding to 201211111020220 its reverse (22020111112102), we get a palindrome (223231222132322).

The spelling of 201211111020220 in words is "two hundred one trillion, two hundred eleven billion, one hundred eleven million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3413 5851 6826 11702 13652 17065 23404 23891 29255 34130 40957 47782 58510 68260 71971 81914 95564 117020 119455 143942 163828 204785 238910 287884 359855 409570 477820 503797 719710 819140 1007594 1439420 2015188 2518985 5037970 10075940 19969463 39938926 79877852 99847315 139786241 199694630 245637023 279572482 399389260 421102321 491274046 559144964 698931205 842204642 982548092 1228185115 1397862410 1684409284 1719459161 2105511605 2456370230 2795724820 2947716247 3438918322 4211023210 4912740460 5895432494 6877836644 8422046420 8597295805 11790864988 14738581235 17194591610 29477162470 34389183220 58954324940 1437222221573 2874444443146 5748888886292 7186111107865 10060555551011 14372222215730 20121111102022 28744444431460 40242222204044 50302777755055 100605555510110 201211111020220