Search a number
-
+
2031322021220 = 22517101190731019
BaseRepresentation
bin11101100011110100001…
…110100011110101100100
321012012012022202101112002
4131203310032203311210
5231240121414134340
64153102040344432
7266521024202132
oct35436416436544
97165168671462
102031322021220
1171352a362a38
12289825775118
131197257a483b
147046070c752
1537c8cbe6715
hex1d8f43a3d64

2031322021220 has 96 divisors (see below), whose sum is σ = 4563963169920. Its totient is φ = 756739942400.

The previous prime is 2031322021219. The next prime is 2031322021331. The reversal of 2031322021220 is 221202231302.

It is a happy number.

It is a super-2 number, since 2×20313220212202 (a number of 25 digits) contains 22 as substring.

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 = 2031322021192 and 2031322021201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65470871 + ... + 65501889.

It is an arithmetic number, because the mean of its divisors is an integer number (47541283020).

Almost surely, 22031322021220 is an apocalyptic number.

2031322021220 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 2031322021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281981584960).

2031322021220 is an abundant number, since it is smaller than the sum of its proper divisors (2532641148700).

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

2031322021220 is a wasteful number, since it uses less digits than its factorization.

2031322021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33053 (or 33051 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2031322021220 its reverse (221202231302), we get a palindrome (2252524252522).

The spelling of 2031322021220 in words is "two trillion, thirty-one billion, three hundred twenty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 1907 2020 3434 3814 6868 7628 8585 9535 17170 19070 31019 32419 34340 38140 62038 64838 124076 129676 155095 162095 192607 310190 324190 385214 527323 620380 648380 770428 963035 1054646 1926070 2109292 2636615 3132919 3274319 3852140 5273230 6265838 6548638 10546460 12531676 13097276 15664595 16371595 31329190 32743190 53259623 59153233 62658380 65486380 106519246 118306466 213038492 236612932 266298115 295766165 532596230 591532330 1005604961 1065192460 1183064660 2011209922 4022419844 5028024805 5974476533 10056049610 11948953066 20112099220 23897906132 29872382665 59744765330 101566101061 119489530660 203132202122 406264404244 507830505305 1015661010610 2031322021220