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131121205045444 = 222970112771262717
BaseRepresentation
bin11101110100000100001000…
…110110010110100011000100
3122012021001202020002222100001
4131310010020312112203010
5114141242211442423234
61142512130001131044
736422123460304105
oct3564041066264304
9565231666088301
10131121205045444
1138863210a1a769
1212858202329a84
1358218a45a7c13
14245442b9d23ac
151025b6b99ad14
hex774108d968c4

131121205045444 has 48 divisors (see below), whose sum is σ = 237899556301680. Its totient is φ = 63160044147200.

The previous prime is 131121205045417. The next prime is 131121205045507. The reversal of 131121205045444 is 444540502121131.

It can be written as a sum of positive squares in 8 ways, for example, as 4538229217344 + 126582975828100 = 2130312^2 + 11250910^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103209174 + ... + 104471890.

It is an arithmetic number, because the mean of its divisors is an integer number (4956240756285).

Almost surely, 2131121205045444 is an apocalyptic number.

It is an amenable number.

131121205045444 is a deficient number, since it is larger than the sum of its proper divisors (106778351256236).

131121205045444 is a wasteful number, since it uses less digits than its factorization.

131121205045444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264728 (or 1264726 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

Adding to 131121205045444 its reverse (444540502121131), we get a palindrome (575661707166575).

The spelling of 131121205045444 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, two hundred five million, forty-five thousand, four hundred forty-four".

Divisors: 1 2 4 29 58 116 701 1277 1402 2554 2804 5108 20329 37033 40658 74066 81316 148132 895177 1262717 1790354 2525434 3580708 5050868 25960133 36618793 51920266 73237586 103840532 146475172 885164617 1612489609 1770329234 3224979218 3540658468 6449958436 25669773893 46762198661 51339547786 93524397322 102679095572 187048794644 1130355215909 2260710431818 4521420863636 32780301261361 65560602522722 131121205045444