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2125330460 = 2251131131063
BaseRepresentation
bin111111010101101…
…1111100000011100
312111010011222021222
41332223133200130
513323041033320
6550521112512
7103445003501
oct17653374034
95433158258
102125330460
119a076a260
124b3928738
1327b4195b6
141623a14a8
15c68bc825
hex7eadf81c

2125330460 has 48 divisors (see below), whose sum is σ = 4884751872. Its totient is φ = 770337600.

The previous prime is 2125330423. The next prime is 2125330483. The reversal of 2125330460 is 640335212.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 52889 + ... + 83951.

It is an arithmetic number, because the mean of its divisors is an integer number (101765664).

Almost surely, 22125330460 is an apocalyptic number.

2125330460 is a gapful number since it is divisible by the number (20) 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 2125330460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442375936).

2125330460 is an abundant number, since it is smaller than the sum of its proper divisors (2759421412).

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

2125330460 is a wasteful number, since it uses less digits than its factorization.

2125330460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31394 (or 31392 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2125330460 is about 46101.3064890790. The cubic root of 2125330460 is about 1285.7074354603.

Adding to 2125330460 its reverse (640335212), we get a palindrome (2765665672).

The spelling of 2125330460 in words is "two billion, one hundred twenty-five million, three hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 622 1244 1555 3110 3421 6220 6842 13684 17105 31063 34210 62126 68420 124252 155315 310630 341693 621260 683386 1366772 1708465 3416930 6833860 9660593 19321186 38642372 48302965 96605930 106266523 193211860 212533046 425066092 531332615 1062665230 2125330460