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2202120133312 = 2611191061155167
BaseRepresentation
bin100000000010111000100…
…101101001101011000000
321210112001112112110121111
4200002320211221223000
5242034420223231222
64403350124533104
7315045406201531
oct40027045515300
97715045473544
102202120133312
11779a06451580
122b69516b1194
1312c874ba03a8
147882437c688
153c437644777
hex200b8969ac0

2202120133312 has 112 divisors (see below), whose sum is σ = 5022750919680. Its totient is φ = 947381529600.

The previous prime is 2202120133309. The next prime is 2202120133313. The reversal of 2202120133312 is 2133310212022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2202120133313) 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, 14114353 + ... + 14269519.

Almost surely, 22202120133312 is an apocalyptic number.

2202120133312 is a gapful number since it is divisible by the number (22) 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 2202120133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511375459840).

2202120133312 is an abundant number, since it is smaller than the sum of its proper divisors (2820630786368).

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

2202120133312 is a wasteful number, since it uses less digits than its factorization.

2202120133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156270 (or 156260 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2202120133312 its reverse (2133310212022), we get a palindrome (4335430345334).

The spelling of 2202120133312 in words is "two trillion, two hundred two billion, one hundred twenty million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1061 1216 1672 2122 3344 4244 6688 8488 11671 13376 16976 20159 23342 33952 40318 46684 67904 80636 93368 155167 161272 186736 221749 310334 322544 373472 443498 620668 645088 746944 886996 1241336 1290176 1706837 1773992 2482672 2948173 3413674 3547984 4965344 5896346 6827348 7095968 9930688 11792692 13654696 14191936 23585384 27309392 32429903 47170768 54618784 64859806 94341536 109237568 129719612 164632187 188683072 259439224 329264374 518878448 658528748 1037756896 1317057496 1810954057 2075513792 2634114992 3128011553 3621908114 5268229984 6256023106 7243816228 10536459968 12512046212 14487632456 25024092424 28975264912 34408127083 50048184848 57950529824 68816254166 100096369696 115901059648 137632508332 200192739392 275265016664 550530033328 1101060066656 2202120133312