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2012505000 = 233541112197
BaseRepresentation
bin111011111110100…
…0110001110101000
312012020212211212020
41313331012032220
513110200130000
6531410544440
7100605003342
oct16775061650
95166784766
102012505000
11943008880
12481b98120
13260c3517c
141513d2292
15bba32ba0
hex77f463a8

2012505000 has 160 divisors (see below), whose sum is σ = 6859179360. Its totient is φ = 487840000.

The previous prime is 2012504983. The next prime is 2012505059. The reversal of 2012505000 is 5052102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158902 + ... + 171098.

It is an arithmetic number, because the mean of its divisors is an integer number (42869871).

Almost surely, 22012505000 is an apocalyptic number.

2012505000 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 2012505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429589680).

2012505000 is an abundant number, since it is smaller than the sum of its proper divisors (4846674360).

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

2012505000 is a wasteful number, since it uses less digits than its factorization.

2012505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12237 (or 12218 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2012505000 is about 44860.9518401025. The cubic root of 2012505000 is about 1262.5414814982.

Adding to 2012505000 its reverse (5052102), we get a palindrome (2017557102).

The spelling of 2012505000 in words is "two billion, twelve million, five hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 625 660 750 825 1000 1100 1250 1320 1375 1500 1650 1875 2200 2500 2750 3000 3300 3750 4125 5000 5500 6600 6875 7500 8250 11000 12197 13750 15000 16500 20625 24394 27500 33000 36591 41250 48788 55000 60985 73182 82500 97576 121970 134167 146364 165000 182955 243940 268334 292728 304925 365910 402501 487880 536668 609850 670835 731820 805002 914775 1073336 1219700 1341670 1463640 1524625 1610004 1829550 2012505 2439400 2683340 3049250 3220008 3354175 3659100 4025010 4573875 5366680 6098500 6708350 7318200 7623125 8050020 9147750 10062525 12197000 13416700 15246250 16100040 16770875 18295500 20125050 22869375 26833400 30492500 33541750 36591000 40250100 45738750 50312625 60985000 67083500 80500200 83854375 91477500 100625250 134167000 167708750 182955000 201250500 251563125 335417500 402501000 503126250 670835000 1006252500 2012505000