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2012132320 = 255111143257
BaseRepresentation
bin111011111101110…
…1011001111100000
312012020011220122021
41313323223033200
513110101213240
6531354551224
7100601561662
oct16773531740
95166156567
102012132320
11942883880
12481a38514
13260b34653
14151336532
15bb9ac54a
hex77eeb3e0

2012132320 has 48 divisors (see below), whose sum is σ = 5185818288. Its totient is φ = 731683840.

The previous prime is 2012132279. The next prime is 2012132327. The reversal of 2012132320 is 232312102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2012132294 and 2012132303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012132327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569869 + ... + 573388.

It is an arithmetic number, because the mean of its divisors is an integer number (108037881).

Almost surely, 22012132320 is an apocalyptic number.

2012132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012132320 is an abundant number, since it is smaller than the sum of its proper divisors (3173685968).

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

2012132320 is a wasteful number, since it uses less digits than its factorization.

2012132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143283 (or 1143275 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2012132320 is about 44856.7979240605. The cubic root of 2012132320 is about 1262.4635433057.

Adding to 2012132320 its reverse (232312102), we get a palindrome (2244444422).

It can be divided in two parts, 20121 and 32320, that added together give a square (52441 = 2292).

The spelling of 2012132320 in words is "two billion, twelve million, one hundred thirty-two 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 1143257 2286514 4573028 5716285 9146056 11432570 12575827 18292112 22865140 25151654 36584224 45730280 50303308 62879135 91460560 100606616 125758270 182921120 201213232 251516540 402426464 503033080 1006066160 2012132320