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202131221220 = 2232510119955871
BaseRepresentation
bin1011110000111111110…
…1011010101011100100
3201022201212112221101200
42330033331122223210
511302431043034340
6232505141322500
720414000013645
oct2741775325344
9638655487350
10202131221220
11787a5894255
1233211406430
13160a3a1bb16
149ad71776cc
1553d0607330
hex2f0ff5aae4

202131221220 has 144 divisors (see below), whose sum is σ = 622324684800. Its totient is φ = 53098848000.

The previous prime is 202131221191. The next prime is 202131221261. The reversal of 202131221220 is 22122131202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202131221193 and 202131221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3589885 + ... + 3645755.

It is an arithmetic number, because the mean of its divisors is an integer number (4321699200).

Almost surely, 2202131221220 is an apocalyptic number.

202131221220 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 202131221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311162342400).

202131221220 is an abundant number, since it is smaller than the sum of its proper divisors (420193463580).

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

202131221220 is a wasteful number, since it uses less digits than its factorization.

202131221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56186 (or 56181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202131221220 its reverse (22122131202), we get a palindrome (224253352422).

The spelling of 202131221220 in words is "two hundred two billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 199 202 303 398 404 505 597 606 796 909 995 1010 1194 1212 1515 1791 1818 1990 2020 2388 2985 3030 3582 3636 3980 4545 5970 6060 7164 8955 9090 11940 17910 18180 20099 35820 40198 55871 60297 80396 100495 111742 120594 167613 180891 200990 223484 241188 279355 301485 335226 361782 401980 502839 558710 602970 670452 723564 838065 904455 1005678 1117420 1205940 1676130 1808910 2011356 2514195 3352260 3617820 5028390 5642971 10056780 11118329 11285942 16928913 22236658 22571884 28214855 33354987 33857826 44473316 50786739 55591645 56429710 66709974 67715652 84644565 100064961 101573478 111183290 112859420 133419948 166774935 169289130 200129922 203146956 222366580 253933695 333549870 338578260 400259844 500324805 507867390 667099740 1000649610 1015734780 1122951229 2001299220 2245902458 3368853687 4491804916 5614756145 6737707374 10106561061 11229512290 13475414748 16844268435 20213122122 22459024580 33688536870 40426244244 50532805305 67377073740 101065610610 202131221220