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2100131320 = 235749915031
BaseRepresentation
bin111110100101101…
…0111010111111000
312102100202201120111
41331023113113320
513300113200240
6544221034104
7103020551560
oct17513272770
95370681514
102100131320
11988518821
124a73b5934
13276135871
1415ccc1da0
15c45911ea
hex7d2d75f8

2100131320 has 64 divisors (see below), whose sum is σ = 5411520000. Its totient is φ = 718554240.

The previous prime is 2100131263. The next prime is 2100131323. The reversal of 2100131320 is 231310012.

It is a super-2 number, since 2×21001313202 = 8821103122489884800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2100131320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100131323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132205 + ... + 147235.

It is an arithmetic number, because the mean of its divisors is an integer number (84555000).

Almost surely, 22100131320 is an apocalyptic number.

2100131320 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 2100131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705760000).

2100131320 is an abundant number, since it is smaller than the sum of its proper divisors (3311388680).

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

2100131320 is a wasteful number, since it uses less digits than its factorization.

2100131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15548 (or 15544 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2100131320 is about 45827.1897458267. The cubic root of 2100131320 is about 1280.6058573924.

Adding to 2100131320 its reverse (231310012), we get a palindrome (2331441332).

The spelling of 2100131320 in words is "two billion, one hundred million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 499 998 1996 2495 3493 3992 4990 6986 9980 13972 15031 17465 19960 27944 30062 34930 60124 69860 75155 105217 120248 139720 150310 210434 300620 420868 526085 601240 841736 1052170 2104340 4208680 7500469 15000938 30001876 37502345 52503283 60003752 75004690 105006566 150009380 210013132 262516415 300018760 420026264 525032830 1050065660 2100131320