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2531005430000 = 2454303783339
BaseRepresentation
bin100100110101001011101…
…011011111100011110000
322221221222010020121020212
4210311023223133203300
5312431444342230000
65214421114123252
7350600450121155
oct44651353374360
98857863217225
102531005430000
118964366447a3
1234a638720528
13154899165b18
148a70388022c
1545c85b3ec35
hex24d4badf8f0

2531005430000 has 100 divisors (see below), whose sum is σ = 6129908520120. Its totient is φ = 1012056672000.

The previous prime is 2531005429999. The next prime is 2531005430029. The reversal of 2531005430000 is 345001352.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30328331 + ... + 30411669.

Almost surely, 22531005430000 is an apocalyptic number.

2531005430000 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 2531005430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064954260060).

2531005430000 is an abundant number, since it is smaller than the sum of its proper divisors (3598903090120).

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

2531005430000 is an equidigital number, since it uses as much as digits as its factorization.

2531005430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86404 (or 86383 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 2531005430000 in words is "two trillion, five hundred thirty-one billion, five million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3037 5000 6074 10000 12148 15185 24296 30370 48592 60740 75925 83339 121480 151850 166678 242960 303700 333356 379625 416695 607400 666712 759250 833390 1214800 1333424 1518500 1666780 1898125 2083475 3037000 3333560 3796250 4166950 6074000 6667120 7592500 8333900 10417375 15185000 16667800 20834750 30370000 33335600 41669500 52086875 83339000 104173750 166678000 208347500 253100543 416695000 506201086 833390000 1012402172 1265502715 2024804344 2531005430 4049608688 5062010860 6327513575 10124021720 12655027150 20248043440 25310054300 31637567875 50620108600 63275135750 101240217200 126550271500 158187839375 253100543000 316375678750 506201086000 632751357500 1265502715000 2531005430000