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20220321120 = 2535269156601
BaseRepresentation
bin10010110101001110…
…011001110101100000
31221012012002202000020
4102311032121311200
5312402400233440
613142235353440
71314035615346
oct226516316540
957165082006
1020220321120
11863693159a
123b038b2880
131ba322856c
14d9b677996
157d528b3d0
hex4b5399d60

20220321120 has 96 divisors (see below), whose sum is σ = 63931200480. Its totient is φ = 5372006400.

The previous prime is 20220321119. The next prime is 20220321133. The reversal of 20220321120 is 2112302202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×202203211202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20220321120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50820 + ... + 207420.

It is an arithmetic number, because the mean of its divisors is an integer number (665950005).

Almost surely, 220220321120 is an apocalyptic number.

20220321120 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 20220321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31965600240).

20220321120 is an abundant number, since it is smaller than the sum of its proper divisors (43710879360).

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

20220321120 is a wasteful number, since it uses less digits than its factorization.

20220321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156888 (or 156880 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20220321120 its reverse (2112302202), we get a palindrome (22332623322).

The spelling of 20220321120 in words is "twenty billion, two hundred twenty million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 269 480 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 8608 10760 12912 16140 21520 25824 32280 43040 64560 129120 156601 313202 469803 626404 783005 939606 1252808 1566010 1879212 2349015 2505616 3132020 3758424 4698030 5011232 6264040 7516848 9396060 12528080 15033696 18792120 25056160 37584240 42125669 75168480 84251338 126377007 168502676 210628345 252754014 337005352 421256690 505508028 631885035 674010704 842513380 1011016056 1263770070 1348021408 1685026760 2022032112 2527540140 3370053520 4044064224 5055080280 6740107040 10110160560 20220321120