Search a number
-
+
242211424112242 = 213195211198778509
BaseRepresentation
bin110111000100101000111101…
…111001010000111001110010
31011202121012000121011122012121
4313010220331321100321302
5223221342444033042432
62215050220411144454
7102006124612235164
oct6704507571207162
91152535017148177
10242211424112242
11701a3319521a82
12231ba243a4512a
13a51c593168bb0
1443b5149dc0934
151d0071d125197
hexdc4a3de50e72

242211424112242 has 64 divisors (see below), whose sum is σ = 412687676822400. Its totient is φ = 105692770460160.

The previous prime is 242211424112201. The next prime is 242211424112249.

242211424112242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242211424112198 and 242211424112207.

It is not an unprimeable number, because it can be changed into a prime (242211424112249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3085102884 + ... + 3085181392.

It is an arithmetic number, because the mean of its divisors is an integer number (6448244950350).

Almost surely, 2242211424112242 is an apocalyptic number.

242211424112242 is a deficient number, since it is larger than the sum of its proper divisors (170476252710158).

242211424112242 is a wasteful number, since it uses less digits than its factorization.

242211424112242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91051.

The product of its digits is 32768, while the sum is 34.

The spelling of 242211424112242 in words is "two hundred forty-two trillion, two hundred eleven billion, four hundred twenty-four million, one hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 13 19 26 38 247 494 521 1042 6773 9899 11987 13546 19798 23974 78509 128687 155831 157018 227753 257374 311662 455506 1020617 1491671 2041234 2960789 2983342 5921578 6245227 12490454 19391723 38783446 40903189 81187951 81806378 118659313 162375902 237318626 531741457 777160591 941087383 1063482914 1542571069 1554321182 1882174766 3085142138 10103087683 12234135979 17880660277 20206175366 24468271958 35761320554 232448583601 464897167202 490306526543 980613053086 6373984845059 9315824004317 12747969690118 18631648008634 121105712056121 242211424112242