Search a number
-
+
2130032560104 = 2332103857333503
BaseRepresentation
bin11110111111101111110…
…101011000011111101000
321112121222122001022122200
4132333233311120133220
5234344301313410404
64310305022020200
7306614123012601
oct36775765303750
97477878038580
102130032560104
11751383939899
122a4993717660
13125b270c9227
14751463d2da8
153a618b23839
hex1efefd587e8

2130032560104 has 96 divisors (see below), whose sum is σ = 5825699642880. Its totient is φ = 703014544512.

The previous prime is 2130032560091. The next prime is 2130032560151. The reversal of 2130032560104 is 4010652300312.

2130032560104 is a `hidden beast` number, since 2 + 1 + 30 + 0 + 3 + 25 + 601 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63560617 + ... + 63594119.

It is an arithmetic number, because the mean of its divisors is an integer number (60684371280).

Almost surely, 22130032560104 is an apocalyptic number.

2130032560104 is a gapful number since it is divisible by the number (24) 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 2130032560104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912849821440).

2130032560104 is an abundant number, since it is smaller than the sum of its proper divisors (3695667082776).

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

2130032560104 is a wasteful number, since it uses less digits than its factorization.

2130032560104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42191 (or 42184 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2130032560104 its reverse (4010652300312), we get a palindrome (6140684860416).

The spelling of 2130032560104 in words is "two trillion, one hundred thirty billion, thirty-two million, five hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 7416 8573 17146 25719 33503 34292 51438 67006 68584 77157 100509 102876 134012 154314 201018 205752 268024 301527 308628 402036 603054 617256 804072 883019 1206108 1766038 2412216 2649057 3450809 3532076 5298114 6901618 7064152 7947171 10352427 10596228 13803236 15894342 20704854 21192456 27606472 31057281 31788684 41409708 62114562 63577368 82819416 124229124 248458248 287221219 574442438 861663657 1148884876 1723327314 2297769752 2584990971 3446654628 5169981942 6893309256 10339963884 20679927768 29583785557 59167571114 88751356671 118335142228 177502713342 236670284456 266254070013 355005426684 532508140026 710010853368 1065016280052 2130032560104