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2112025520 = 2451117313873
BaseRepresentation
bin111110111100010…
…1111001110110000
312110012011000100102
41331320233032300
513311134304040
6545324011532
7103223630543
oct17570571660
95405130312
102112025520
11994202040
124ab390ba8
1327873b657
141606da85a
15c5640515
hex7de2f3b0

2112025520 has 80 divisors (see below), whose sum is σ = 5388217632. Its totient is φ = 763514880.

The previous prime is 2112025499. The next prime is 2112025571. The reversal of 2112025520 is 255202112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2112025492 and 2112025501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145304 + ... + 159176.

Almost surely, 22112025520 is an apocalyptic number.

2112025520 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 2112025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694108816).

2112025520 is an abundant number, since it is smaller than the sum of its proper divisors (3276192112).

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

2112025520 is a wasteful number, since it uses less digits than its factorization.

2112025520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14070 (or 14064 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2112025520 is about 45956.7788253267. The cubic root of 2112025520 is about 1283.0188996717.

Adding to 2112025520 its reverse (255202112), we get a palindrome (2367227632).

The spelling of 2112025520 in words is "two billion, one hundred twelve million, twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 173 176 220 346 440 692 865 880 1384 1730 1903 2768 3460 3806 6920 7612 9515 13840 13873 15224 19030 27746 30448 38060 55492 69365 76120 110984 138730 152240 152603 221968 277460 305206 554920 610412 763015 1109840 1220824 1526030 2400029 2441648 3052060 4800058 6104120 9600116 12000145 12208240 19200232 24000290 26400319 38400464 48000580 52800638 96001160 105601276 132001595 192002320 211202552 264003190 422405104 528006380 1056012760 2112025520