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2125210320 = 2432522713003
BaseRepresentation
bin111111010101100…
…0010001011010000
312111002221212111100
41332223002023100
513323023212240
6550514344400
7103443663312
oct17653021320
95432855440
102125210320
119a0697a72
124b388b100
1327b3a69cc
1416236d7b2
15c6896e30
hex7eac22d0

2125210320 has 120 divisors (see below), whose sum is σ = 7169157216. Its totient is φ = 564182784.

The previous prime is 2125210309. The next prime is 2125210333. The reversal of 2125210320 is 230125212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2125210293 and 2125210302.

It is a congruent number.

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, 156939 + ... + 169941.

Almost surely, 22125210320 is an apocalyptic number.

2125210320 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 2125210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584578608).

2125210320 is an abundant number, since it is smaller than the sum of its proper divisors (5043946896).

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

2125210320 is a wasteful number, since it uses less digits than its factorization.

2125210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13249 (or 13240 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2125210320 is about 46100.0034707157. The cubic root of 2125210320 is about 1285.6832089843.

Adding to 2125210320 its reverse (230125212), we get a palindrome (2355335532).

The spelling of 2125210320 in words is "two billion, one hundred twenty-five million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 227 240 360 454 681 720 908 1135 1362 1816 2043 2270 2724 3405 3632 4086 4540 5448 6810 8172 9080 10215 10896 13003 13620 16344 18160 20430 26006 27240 32688 39009 40860 52012 54480 65015 78018 81720 104024 117027 130030 156036 163440 195045 208048 234054 260060 312072 390090 468108 520120 585135 624144 780180 936216 1040240 1170270 1560360 1872432 2340540 2951681 3120720 4681080 5903362 8855043 9362160 11806724 14758405 17710086 23613448 26565129 29516810 35420172 44275215 47226896 53130258 59033620 70840344 88550430 106260516 118067240 132825645 141680688 177100860 212521032 236134480 265651290 354201720 425042064 531302580 708403440 1062605160 2125210320