Search a number
-
+
201101221222020 = 223257379421119113
BaseRepresentation
bin101101101110011010000110…
…110110101101011010000100
3222101001002101212122022222100
4231232122012312231122010
5202324320300113101040
61551412343050032100
760234040506256230
oct5556320666553204
9871032355568870
10201101221222020
1159093604755539
121a67a920118630
1388299c107c022
1437934cb3835c0
15183b186d6db30
hexb6e686dad684

201101221222020 has 144 divisors (see below), whose sum is σ = 698990350181760. Its totient is φ = 45844711008768.

The previous prime is 201101221222009. The next prime is 201101221222067. The reversal of 201101221222020 is 20222122101102.

It is a happy number.

201101221222020 is a `hidden beast` number, since 201 + 1 + 0 + 1 + 221 + 2 + 220 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201101221221984 and 201101221222002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210082017 + ... + 211037096.

It is an arithmetic number, because the mean of its divisors is an integer number (4854099654040).

Almost surely, 2201101221222020 is an apocalyptic number.

201101221222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101221222020 is an abundant number, since it is smaller than the sum of its proper divisors (497889128959740).

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

201101221222020 is a wasteful number, since it uses less digits than its factorization.

201101221222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421119514 (or 421119509 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201101221222020 its reverse (20222122101102), we get a palindrome (221323343323122).

The spelling of 201101221222020 in words is "two hundred one trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 379 420 630 758 1137 1260 1516 1895 2274 2653 3411 3790 4548 5306 5685 6822 7580 7959 10612 11370 13265 13644 15918 17055 22740 23877 26530 31836 34110 39795 47754 53060 68220 79590 95508 119385 159180 238770 477540 421119113 842238226 1263357339 1684476452 2105595565 2526714678 2947833791 3790072017 4211191130 5053429356 5895667582 6316786695 7580144034 8422382260 8843501373 11791335164 12633573390 14739168955 15160288068 17687002746 18950360085 25267146780 26530504119 29478337910 35374005492 37900720170 44217506865 53061008238 58956675820 75801440340 88435013730 106122016476 132652520595 159604143827 176870027460 265305041190 319208287654 478812431481 530610082380 638416575308 798020719135 957624862962 1117229006789 1436437294443 1596041438270 1915249725924 2234458013578 2394062157405 2872874588886 3192082876540 3351687020367 4468916027156 4788124314810 5586145033945 5745749177772 6703374040734 7182186472215 9576248629620 10055061061101 11172290067890 13406748081468 14364372944430 16758435101835 20110122122202 22344580135780 28728745888860 33516870203670 40220244244404 50275305305505 67033740407340 100550610611010 201101221222020