Search a number
-
+
10530422120 = 2352321074651
BaseRepresentation
bin10011100111010100…
…10111110101101000
31000011212211212111002
421303222113311220
5133031242001440
64500531254132
7521645053061
oct116352276550
930155755432
1010530422120
11451416aaa9
12205a74a348
13cba86470a
1471c797568
15419735115
hex273a97d68

10530422120 has 96 divisors (see below), whose sum is σ = 25005244320. Its totient is φ = 3990518400.

The previous prime is 10530422113. The next prime is 10530422159. The reversal of 10530422120 is 2122403501.

It is a super-2 number, since 2×105304221202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10530422092 and 10530422101.

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 23 ways as a sum of consecutive naturals, for example, 2261795 + ... + 2266445.

It is an arithmetic number, because the mean of its divisors is an integer number (260471295).

Almost surely, 210530422120 is an apocalyptic number.

10530422120 is a gapful number since it is divisible by the number (10) 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 10530422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12502622160).

10530422120 is an abundant number, since it is smaller than the sum of its proper divisors (14474822200).

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

10530422120 is a wasteful number, since it uses less digits than its factorization.

10530422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10530422120 its reverse (2122403501), we get a palindrome (12652825621).

The spelling of 10530422120 in words is "ten billion, five hundred thirty million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 107 115 184 214 230 428 460 529 535 856 920 1058 1070 2116 2140 2461 2645 4232 4280 4651 4922 5290 9302 9844 10580 12305 18604 19688 21160 23255 24610 37208 46510 49220 56603 93020 98440 106973 113206 186040 213946 226412 283015 427892 452824 497657 534865 566030 855784 995314 1069730 1132060 1990628 2139460 2264120 2460379 2488285 3981256 4278920 4920758 4976570 9841516 9953140 11446111 12301895 19683032 19906280 22892222 24603790 45784444 49207580 57230555 91568888 98415160 114461110 228922220 263260553 457844440 526521106 1053042212 1316302765 2106084424 2632605530 5265211060 10530422120