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2331040132000 = 25533591623287
BaseRepresentation
bin100001111010111100110…
…100011010101110100000
322020211211012020221221201
4201322330310122232200
5301142432233211000
64542510503530544
7330261230125156
oct41727464325640
98224735227851
102331040132000
11819652425738
12317930759a54
1313ba7c0a6b98
1480b742333d6
154098077296a
hex21ebcd1aba0

2331040132000 has 96 divisors (see below), whose sum is σ = 5743322807040. Its totient is φ = 929818220800.

The previous prime is 2331040131997. The next prime is 2331040132007. The reversal of 2331040132000 is 2310401332.

2331040132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2331040132007) 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, 624357 + ... + 2247643.

It is an arithmetic number, because the mean of its divisors is an integer number (59826279240).

Almost surely, 22331040132000 is an apocalyptic number.

2331040132000 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 2331040132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871661403520).

2331040132000 is an abundant number, since it is smaller than the sum of its proper divisors (3412282675040).

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

2331040132000 is a wasteful number, since it uses less digits than its factorization.

2331040132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623671 (or 1623653 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2331040132000 its reverse (2310401332), we get a palindrome (2333350533332).

The spelling of 2331040132000 in words is "two trillion, three hundred thirty-one billion, forty million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 359 400 500 718 800 1000 1436 1795 2000 2872 3590 4000 5744 7180 8975 11488 14360 17950 28720 35900 44875 57440 71800 89750 143600 179500 287200 359000 718000 1436000 1623287 3246574 6493148 8116435 12986296 16232870 25972592 32465740 40582175 51945184 64931480 81164350 129862960 162328700 202910875 259725920 324657400 405821750 582760033 649314800 811643500 1165520066 1298629600 1623287000 2331040132 2913800165 3246574000 4662080264 5827600330 6493148000 9324160528 11655200660 14569000825 18648321056 23310401320 29138001650 46620802640 58276003300 72845004125 93241605280 116552006600 145690008250 233104013200 291380016500 466208026400 582760033000 1165520066000 2331040132000