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2112005520 = 2432510512791
BaseRepresentation
bin111110111100010…
…1010010110010000
312110012002222220200
41331320222112100
513311133134040
6545323335200
7103223515332
oct17570522620
95405088820
102112005520
11994199009
124ab381500
13278732511
141606d3452
15c5639630
hex7de2a590

2112005520 has 120 divisors (see below), whose sum is σ = 7102110912. Its totient is φ = 562464000.

The previous prime is 2112005491. The next prime is 2112005537. The reversal of 2112005520 is 255002112.

2112005520 is a `hidden beast` number, since 2 + 112 + 0 + 0 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2112005493 and 2112005502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755325 + ... + 758115.

Almost surely, 22112005520 is an apocalyptic number.

2112005520 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 2112005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551055456).

2112005520 is an abundant number, since it is smaller than the sum of its proper divisors (4990105392).

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

2112005520 is a wasteful number, since it uses less digits than its factorization.

2112005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2112005520 is about 45956.5612290563. The cubic root of 2112005520 is about 1283.0148497745.

Adding to 2112005520 its reverse (255002112), we get a palindrome (2367007632).

The spelling of 2112005520 in words is "two billion, one hundred twelve million, five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1051 2102 2791 3153 4204 5255 5582 6306 8373 8408 9459 10510 11164 12612 13955 15765 16746 16816 18918 21020 22328 25119 25224 27910 31530 33492 37836 41865 42040 44656 47295 50238 50448 55820 63060 66984 75672 83730 84080 94590 100476 111640 125595 126120 133968 151344 167460 189180 200952 223280 251190 252240 334920 378360 401904 502380 669840 756720 1004760 2009520 2933341 5866682 8800023 11733364 14666705 17600046 23466728 26400069 29333410 35200092 44000115 46933456 52800138 58666820 70400184 88000230 105600276 117333640 132000345 140800368 176000460 211200552 234667280 264000690 352000920 422401104 528001380 704001840 1056002760 2112005520