Search a number
-
+
104052130252 = 22719597014729
BaseRepresentation
bin110000011100111111…
…1011000000111001100
3100221120120102212221221
41200321333120013030
53201044321132002
6115444554133124
710342336341220
oct1407177300714
9327516385857
10104052130252
1140145795584
12181baa211a4
139a73184055
1450712a4780
152a8ed5ac37
hex1839fd81cc

104052130252 has 96 divisors (see below), whose sum is σ = 223134912000. Its totient is φ = 41462668800.

The previous prime is 104052130219. The next prime is 104052130289. The reversal of 104052130252 is 252031250401.

It is a super-3 number, since 3×1040521302523 (a number of 34 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 22000624 + ... + 22005352.

It is an arithmetic number, because the mean of its divisors is an integer number (2324322000).

Almost surely, 2104052130252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104052130252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111567456000).

104052130252 is an abundant number, since it is smaller than the sum of its proper divisors (119082781748).

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

104052130252 is a wasteful number, since it uses less digits than its factorization.

104052130252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 104052130252 its reverse (252031250401), we get a palindrome (356083380653).

The spelling of 104052130252 in words is "one hundred four billion, fifty-two million, one hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 59 76 118 133 236 266 413 532 701 826 1121 1402 1652 2242 2804 4484 4729 4907 7847 9458 9814 13319 15694 18916 19628 26638 31388 33103 41359 53276 66206 82718 89851 93233 132412 165436 179702 186466 279011 289513 359404 372932 558022 579026 628957 785821 1116044 1158052 1257914 1571642 1953077 2515828 3143284 3315029 3906154 5301209 5500747 6630058 7812308 10602418 11001494 13260116 21204836 22002988 23205203 37108463 46410406 62985551 74216926 92820812 125971102 148433852 195586711 251942204 391173422 440898857 782346844 881797714 1369106977 1763595428 2738213954 3716147509 5476427908 7432295018 14864590036 26013032563 52026065126 104052130252