Search a number
-
+
104020502124 = 223711127988019
BaseRepresentation
bin110000011100000011…
…0101110011001101100
3100221111100221000022210
41200320012232121230
53201013222031444
6115441504210420
710341503452020
oct1407006563154
9327440830283
10104020502124
1140129952930
12181b0309a10
139a6975bc96
14506add0380
152a8c1ae7b9
hex18381ae66c

104020502124 has 96 divisors (see below), whose sum is σ = 302845132800. Its totient is φ = 26996880960.

The previous prime is 104020502123. The next prime is 104020502171. The reversal of 104020502124 is 421205020401.

It is a super-2 number, since 2×1040205021242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 104020502124.

It is not an unprimeable number, because it can be changed into a prime (104020502123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1137787 + ... + 1225805.

It is an arithmetic number, because the mean of its divisors is an integer number (3154636800).

Almost surely, 2104020502124 is an apocalyptic number.

104020502124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104020502124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151422566400).

104020502124 is an abundant number, since it is smaller than the sum of its proper divisors (198824630676).

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

104020502124 is a wasteful number, since it uses less digits than its factorization.

104020502124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89323 (or 89321 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 104020502124 its reverse (421205020401), we get a palindrome (525225522525).

The spelling of 104020502124 in words is "one hundred four billion, twenty million, five hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1279 2558 3837 5116 7674 8953 14069 15348 17906 26859 28138 35812 42207 53718 56276 84414 88019 98483 107436 168828 176038 196966 264057 295449 352076 393932 528114 590898 616133 968209 1056228 1181796 1232266 1848399 1936418 2464532 2904627 3696798 3872836 5809254 6777463 7393596 11618508 13554926 20332389 27109852 40664778 81329556 112576301 225152602 337728903 450305204 675457806 788034107 1238339311 1350915612 1576068214 2364102321 2476678622 3152136428 3715017933 4728204642 4953357244 7430035866 8668375177 9456409284 14860071732 17336750354 26005125531 34673500708 52010251062 104020502124