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13124413011042 = 232232931299827
BaseRepresentation
bin1011111011111100001111…
…1110011011010001100010
31201110200101220112022212100
42332333003332123101202
53210012244212323132
643525134435111230
72523131121632244
oct276770376332142
951420356468770
1013124413011042
114200039aa0383
12157b723442516
1374281c20ca08
143353214b2094
1517b5e1c9637c
hexbefc3f9b462

13124413011042 has 96 divisors (see below), whose sum is σ = 30732301342080. Its totient is φ = 4040295949536.

The previous prime is 13124413011023. The next prime is 13124413011043. The reversal of 13124413011042 is 24011031442131.

It is a happy number.

13124413011042 is a `hidden beast` number, since 1 + 312 + 4 + 4 + 1 + 301 + 1 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13124413010997 and 13124413011015.

It is not an unprimeable number, because it can be changed into a prime (13124413011043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9447133 + ... + 10746959.

It is an arithmetic number, because the mean of its divisors is an integer number (320128138980).

Almost surely, 213124413011042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13124413011042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366150671040).

13124413011042 is an abundant number, since it is smaller than the sum of its proper divisors (17607888331038).

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

13124413011042 is a wasteful number, since it uses less digits than its factorization.

13124413011042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299945 (or 1299884 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13124413011042 its reverse (24011031442131), we get a palindrome (37135444453173).

The spelling of 13124413011042 in words is "thirteen trillion, one hundred twenty-four billion, four hundred thirteen million, eleven thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 841 1334 1682 2001 2523 4002 5046 6003 7569 12006 15138 19343 24389 38686 48778 58029 73167 116058 146334 174087 219501 348174 439002 560947 1121894 1299827 1682841 2599654 3365682 3899481 5048523 7798962 10097046 11698443 23396886 29896021 37694983 59792042 75389966 89688063 113084949 179376126 226169898 269064189 339254847 538128378 678509694 866984609 1093154507 1733969218 2186309014 2600953827 3279463521 5201907654 6558927042 7802861481 9838390563 15605722962 19676781126 25142553661 31701480703 50285107322 63402961406 75427660983 95104442109 150855321966 190208884218 226282982949 285313326327 452565965898 570626652654 729134056169 1458268112338 2187402168507 4374804337014 6562206505521 13124413011042