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123241030242 = 231129197461709
BaseRepresentation
bin111001011000110111…
…1001110001001100010
3102210002212202000011120
41302301233032021202
54004344200431432
6132341030553110
711622012321111
oct1626157161142
9383085660146
10123241030242
11482a2392110
121ba75208796
13b8107c0645
145d71971c78
1533147aac2c
hex1cb1bce262

123241030242 has 128 divisors (see below), whose sum is σ = 280575187200. Its totient is φ = 35746636800.

The previous prime is 123241030183. The next prime is 123241030291. The reversal of 123241030242 is 242030142321.

It is a happy number.

It is an unprimeable number.

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, 173823384 + ... + 173824092.

It is an arithmetic number, because the mean of its divisors is an integer number (2191993650).

Almost surely, 2123241030242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123241030242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140287593600).

123241030242 is an abundant number, since it is smaller than the sum of its proper divisors (157334156958).

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

123241030242 is a wasteful number, since it uses less digits than its factorization.

123241030242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 123241030242 its reverse (242030142321), we get a palindrome (365271172563).

The spelling of 123241030242 in words is "one hundred twenty-three billion, two hundred forty-one million, thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 197 319 394 461 591 638 709 922 957 1182 1383 1418 1914 2127 2167 2766 4254 4334 5071 5713 6501 7799 10142 11426 13002 13369 15213 15598 17139 20561 23397 26738 30426 34278 40107 41122 46794 61683 62843 80214 90817 123366 125686 139673 147059 181634 188529 226171 272451 279346 294118 326849 377058 419019 441177 452342 544902 653698 678513 838038 882354 980547 998987 1357026 1536403 1961094 1997974 2633693 2996961 3072806 3595339 4050517 4609209 5267386 5993922 7190678 7901079 8101034 9218418 9478621 10786017 12151551 15802158 18957242 21572034 24303102 28435863 28970623 44555687 56871726 57941246 64389253 86911869 89111374 104264831 128778506 133667061 173823738 193167759 208529662 267334122 312794493 386335518 625588986 708281783 1416563566 1867288337 2124845349 3734576674 4249690698 5601865011 11203730022 20540171707 41080343414 61620515121 123241030242