Search a number
-
+
201120122212220 = 225479180891160581
BaseRepresentation
bin101101101110101011101101…
…011100010000111101111100
3222101002220012010012010012102
4231232223231130100331330
5202330123002241242340
61551425150355524232
760235310055113021
oct5556535534207574
9871086163163172
10201120122212220
11590a06238861a2
121a682515bb9678
13882b713b618b3
1437943a1707548
15183b8e139c215
hexb6eaed710f7c

201120122212220 has 48 divisors (see below), whose sum is σ = 423257756140800. Its totient is φ = 80275591656960.

The previous prime is 201120122212169. The next prime is 201120122212271. The reversal of 201120122212220 is 22212221021102.

It is an interprime number because it is at equal distance from previous prime (201120122212169) and next prime (201120122212271).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201120122212192 and 201120122212201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172712330 + ... + 173872910.

It is an arithmetic number, because the mean of its divisors is an integer number (8817869919600).

Almost surely, 2201120122212220 is an apocalyptic number.

201120122212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120122212220 is an abundant number, since it is smaller than the sum of its proper divisors (222137633928580).

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

201120122212220 is a wasteful number, since it uses less digits than its factorization.

201120122212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179158 (or 1179156 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201120122212220 its reverse (22212221021102), we get a palindrome (223332343233322).

The spelling of 201120122212220 in words is "two hundred one trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 479 958 1916 2395 4790 9580 18089 36178 72356 90445 180890 361780 1160581 2321162 4642324 5802905 8664631 11605810 17329262 23211620 34658524 43323155 86646310 173292620 555918299 1111836598 2223673196 2779591495 5559182990 11118365980 20993749709 41987499418 83974998836 104968748545 209937497090 419874994180 10056006110611 20112012221222 40224024442444 50280030553055 100560061106110 201120122212220