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2112012320 = 255111200007
BaseRepresentation
bin111110111100010…
…1100000000100000
312110012010100020112
41331320230000200
513311133343240
6545323430452
7103223544215
oct17570540040
95405110215
102112012320
119941a3130
124ab385428
13278735642
141606d5b0c
15c563b665
hex7de2c020

2112012320 has 48 divisors (see below), whose sum is σ = 5443236288. Its totient is φ = 768003840.

The previous prime is 2112012293. The next prime is 2112012341. The reversal of 2112012320 is 232102112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2112012295 and 2112012304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598244 + ... + 601763.

It is an arithmetic number, because the mean of its divisors is an integer number (113400756).

Almost surely, 22112012320 is an apocalyptic number.

2112012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112012320 is an abundant number, since it is smaller than the sum of its proper divisors (3331223968).

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

2112012320 is a wasteful number, since it uses less digits than its factorization.

2112012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200033 (or 1200025 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2112012320 is about 45956.6352119038. The cubic root of 2112012320 is about 1283.0162267424.

Adding to 2112012320 its reverse (232102112), we get a palindrome (2344114432).

The spelling of 2112012320 in words is "two billion, one hundred twelve million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 1200007 2400014 4800028 6000035 9600056 12000070 13200077 19200112 24000140 26400154 38400224 48000280 52800308 66000385 96000560 105600616 132000770 192001120 211201232 264001540 422402464 528003080 1056006160 2112012320