Search a number
-
+
122420143431243 = 32721791997793063
BaseRepresentation
bin11011110101011100101001…
…001010011001111001001011
3121001110020210021121120211100
4123311130221022121321023
5112021212423204244433
61112211012033432443
734533364164011100
oct3365345112317113
9531406707546740
10122420143431243
1136009100531429
1211891a1640b723
135340229616058
142233249062aa7
15e2466767ab13
hex6f5729299e4b

122420143431243 has 72 divisors (see below), whose sum is σ = 207887775264000. Its totient is φ = 69213986636256.

The previous prime is 122420143431203. The next prime is 122420143431277. The reversal of 122420143431243 is 342134341024221.

122420143431243 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 201 + 434 + 3 + 12 + 4 + 3 = 666.

It is not a de Polignac number, because 122420143431243 - 28 = 122420143430987 is a prime.

It is a super-2 number, since 2×1224201434312432 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122420143431198 and 122420143431207.

It is not an unprimeable number, because it can be changed into a prime (122420143431203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11812330 + ... + 19605392.

It is an arithmetic number, because the mean of its divisors is an integer number (2887330212000).

Almost surely, 2122420143431243 is an apocalyptic number.

122420143431243 is a deficient number, since it is larger than the sum of its proper divisors (85467631832757).

122420143431243 is a wasteful number, since it uses less digits than its factorization.

122420143431243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793461 (or 7793451 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 122420143431243 its reverse (342134341024221), we get a palindrome (464554484455464).

The spelling of 122420143431243 in words is "one hundred twenty-two trillion, four hundred twenty billion, one hundred forty-three million, four hundred thirty-one thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 49 63 147 179 199 441 537 597 1253 1393 1611 1791 3759 4179 8771 9751 11277 12537 26313 29253 35621 78939 87759 106863 249347 320589 748041 1745429 2244123 5236287 7793063 15708861 23379189 54551441 70137567 163654323 381860087 490962969 1145580261 1394958277 1550819537 3436740783 4184874831 4652458611 9764707939 10855736759 12554624493 13957375833 29294123817 32567210277 68352955573 75990157313 87882371451 97701630831 205058866719 227970471939 277596697123 615176600157 683911415817 832790091369 1943176879861 2498370274107 5829530639583 13602238159027 17488591918749 40806714477081 122420143431243