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22025262130211 = 31414315724110651
BaseRepresentation
bin1010000001000001001111…
…11011001110010000100011
32212222121001101110112111002
411000200213323032100203
510341330214101131321
6114502133222142215
74432162346054234
oct500404773162043
985877041415432
1022025262130211
11702195230318a
12257878788196b
13c39c86480342
14562057c0b08b
15282ddaa6420b
hex140827ece423

22025262130211 has 64 divisors (see below), whose sum is σ = 24085493870592. Its totient is φ = 20096294400000.

The previous prime is 22025262130187. The next prime is 22025262130241. The reversal of 22025262130211 is 11203126252022.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22025262130211 - 234 = 22008082261027 is a prime.

It is a super-2 number, since 2×220252621302112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22025262130241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2067900236 + ... + 2067910886.

It is an arithmetic number, because the mean of its divisors is an integer number (376335841728).

Almost surely, 222025262130211 is an apocalyptic number.

22025262130211 is a deficient number, since it is larger than the sum of its proper divisors (2060231740381).

22025262130211 is a wasteful number, since it uses less digits than its factorization.

22025262130211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 22025262130211 its reverse (11203126252022), we get a palindrome (33228388382233).

The spelling of 22025262130211 in words is "twenty-two trillion, twenty-five billion, two hundred sixty-two million, one hundred thirty thousand, two hundred eleven".

Divisors: 1 31 41 43 157 241 1271 1333 1763 4867 6437 6751 7471 9881 10363 10651 37837 54653 199547 209281 276791 306311 321253 330181 424883 436691 457993 1172947 1551317 1626991 1672207 2566891 8580521 13171373 13537421 14197783 18777713 48090827 50436721 51838417 66706631 68560487 71904901 79573621 105242531 110376313 403001887 582109103 2067905561 2125375097 2229051931 2948100941 3262518461 3421665703 4525428833 12493058497 16523077367 17329081141 91391129171 140288293823 512215398377 537201515371 710492326781 22025262130211