Search a number
-
+
2021122021120 = 28510115799901
BaseRepresentation
bin11101011010010100010…
…000101001011100000000
321011012212110122200211121
4131122110100221130000
5231103224214133440
64144253551122024
7266010200502406
oct35322420513400
97135773580747
102021122021120
1170a175765994
12287859813314
1311878b530017
146db73ba7476
15378924ce34a
hex1d694429700

2021122021120 has 144 divisors (see below), whose sum is σ = 4892742177120. Its totient is φ = 799856640000.

The previous prime is 2021122021099. The next prime is 2021122021129. The reversal of 2021122021120 is 211202211202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2021122021094 and 2021122021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021122021129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204128170 + ... + 204138070.

It is an arithmetic number, because the mean of its divisors is an integer number (33977376230).

Almost surely, 22021122021120 is an apocalyptic number.

2021122021120 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 2021122021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446371088560).

2021122021120 is an abundant number, since it is smaller than the sum of its proper divisors (2871620156000).

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

2021122021120 is a wasteful number, since it uses less digits than its factorization.

2021122021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11602 (or 11588 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2021122021120 its reverse (211202211202), we get a palindrome (2232324232322).

The spelling of 2021122021120 in words is "two trillion, twenty-one billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 640 808 1010 1280 1579 1616 2020 3158 3232 4040 6316 6464 7895 8080 9901 12632 12928 15790 16160 19802 25264 25856 31580 32320 39604 49505 50528 63160 64640 79208 99010 101056 126320 129280 158416 159479 198020 202112 252640 316832 318958 396040 404224 505280 633664 637916 792080 797395 1000001 1010560 1267328 1275832 1584160 1594790 2000002 2021120 2534656 2551664 3168320 3189580 4000004 5000005 5103328 6336640 6379160 8000008 10000010 10206656 12673280 12758320 15633679 16000016 20000020 20413312 25516640 31267358 32000032 40000040 40826624 51033280 62534716 64000064 78168395 80000080 102066560 125069432 128000128 156336790 160000160 204133120 250138864 256000256 312673580 320000320 500277728 625347160 640000640 1000555456 1250694320 1280001280 1579001579 2001110912 2501388640 3158003158 4002221824 5002777280 6316006316 7895007895 10005554560 12632012632 15790015790 20011109120 25264025264 31580031580 50528050528 63160063160 101056101056 126320126320 202112202112 252640252640 404224404224 505280505280 1010561010560 2021122021120