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201322012120 = 2358996758481
BaseRepresentation
bin1011101101111110111…
…0100001110111011000
3201020122110212212012021
42323133232201313120
511244301413341440
6232252553224224
720354642603515
oct2733756416730
9636573785167
10201322012120
11784200334a9
1233026402074
1315ca5193378
149a5b8d230c
15538456184a
hex2edfba1dd8

201322012120 has 64 divisors (see below), whose sum is σ = 458545665600. Its totient is φ = 79540285440.

The previous prime is 201322012097. The next prime is 201322012141. The reversal of 201322012120 is 21210223102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201322012094 and 201322012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3413280 + ... + 3471760.

It is an arithmetic number, because the mean of its divisors is an integer number (7164776025).

Almost surely, 2201322012120 is an apocalyptic number.

201322012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201322012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229272832800).

201322012120 is an abundant number, since it is smaller than the sum of its proper divisors (257223653480).

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

201322012120 is a wasteful number, since it uses less digits than its factorization.

201322012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59548 (or 59544 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201322012120 its reverse (21210223102), we get a palindrome (222532235222).

The spelling of 201322012120 in words is "two hundred one billion, three hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 967 1780 1934 3560 3868 4835 7736 9670 19340 38680 58481 86063 116962 172126 233924 292405 344252 430315 467848 584810 688504 860630 1169620 1721260 2339240 3442520 5204809 10409618 20819236 26024045 41638472 52048090 56551127 104096180 113102254 208192360 226204508 282755635 452409016 565511270 1131022540 2262045080 5033050303 10066100606 20132201212 25165251515 40264402424 50330503030 100661006060 201322012120