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2331031300000 = 2555131793101
BaseRepresentation
bin100001111010111100010…
…010101110011110100000
322020211210120122020201121
4201322330102232132200
5301142423003100000
64542505550342024
7330261062061664
oct41727422563640
98224716566647
102331031300000
11819648443067
123179297ba914
1313ba7a303b50
1480b72db48a4
154097eacab1a
hex21ebc4ae7a0

2331031300000 has 144 divisors (see below), whose sum is σ = 6177401355384. Its totient is φ = 860688000000.

The previous prime is 2331031299983. The next prime is 2331031300049. The reversal of 2331031300000 is 31301332.

2331031300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1930954809744 + 400076490256 = 1389588^2 + 632516^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 403450 + ... + 2196550.

Almost surely, 22331031300000 is an apocalyptic number.

2331031300000 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 2331031300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088700677692).

2331031300000 is an abundant number, since it is smaller than the sum of its proper divisors (3846370055384).

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

2331031300000 is an equidigital number, since it uses as much as digits as its factorization.

2331031300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793149 (or 1793121 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 2331031300000 its reverse (31301332), we get a palindrome (2331062601332).

The spelling of 2331031300000 in words is "two trillion, three hundred thirty-one billion, thirty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3125 3250 4000 5000 5200 6250 6500 8125 10000 10400 12500 13000 16250 20000 25000 26000 32500 40625 50000 52000 65000 81250 100000 130000 162500 260000 325000 650000 1300000 1793101 3586202 7172404 8965505 14344808 17931010 23310313 28689616 35862020 44827525 46620626 57379232 71724040 89655050 93241252 116551565 143448080 179310100 186482504 224137625 233103130 286896160 358620200 372965008 448275250 466206260 582757825 717240400 745930016 896550500 932412520 1120688125 1165515650 1434480800 1793101000 1864825040 2241376250 2331031300 2913789125 3586202000 3729650080 4482752500 4662062600 5603440625 5827578250 7172404000 8965505000 9324125200 11206881250 11655156500 14568945625 17931010000 18648250400 22413762500 23310313000 29137891250 35862020000 44827525000 46620626000 58275782500 72844728125 89655050000 93241252000 116551565000 145689456250 179310100000 233103130000 291378912500 466206260000 582757825000 1165515650000 2331031300000