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2512134020500 = 2253131753220469
BaseRepresentation
bin100100100011100110110…
…110110001110110010100
322220011020221100200010021
4210203212312301312110
5312124322302124000
65202020342234524
7346332010565446
oct44434666616624
98804227320107
102512134020500
118894321884a5
12346a50725a44
13152b7c53c420
148983341a496
154552e00611a
hex248e6db1d94

2512134020500 has 96 divisors (see below), whose sum is σ = 5911936561440. Its totient is φ = 927023846400.

The previous prime is 2512134020471. The next prime is 2512134020503. The reversal of 2512134020500 is 50204312152.

2512134020500 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 16 ways, for example, as 2336165516304 + 175968504196 = 1528452^2 + 419486^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512134020503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11284266 + ... + 11504734.

It is an arithmetic number, because the mean of its divisors is an integer number (61582672515).

Almost surely, 22512134020500 is an apocalyptic number.

2512134020500 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 2512134020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955968280720).

2512134020500 is an abundant number, since it is smaller than the sum of its proper divisors (3399802540940).

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

2512134020500 is a wasteful number, since it uses less digits than its factorization.

2512134020500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222254 (or 222242 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 2512134020500 its reverse (50204312152), we get a palindrome (2562338332652).

The spelling of 2512134020500 in words is "two trillion, five hundred twelve billion, one hundred thirty-four million, twenty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 1753 3250 3506 6500 7012 8765 17530 22789 35060 43825 45578 87650 91156 113945 175300 219125 220469 227890 438250 440938 455780 569725 876500 881876 1102345 1139450 2204690 2278900 2848625 2866097 4409380 5511725 5697250 5732194 11023450 11394500 11464388 14330485 22046900 27558625 28660970 55117250 57321940 71652425 110234500 143304850 286609700 358262125 386482157 716524250 772964314 1433048500 1545928628 1932410785 3864821570 5024268041 7729643140 9662053925 10048536082 19324107850 20097072164 25121340205 38648215700 48310269625 50242680410 96620539250 100485360820 125606701025 193241078500 251213402050 502426804100 628033505125 1256067010250 2512134020500