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2012331020 = 225724674397
BaseRepresentation
bin111011111110001…
…1011110000001100
312012020120000012112
41313330123300030
513110124043040
6531403123152
7100603350200
oct16774336014
95166500175
102012331020
119429aa097
12481b134b8
13260ba3c1b
14151388b00
15bb9eb365
hex77f1bc0c

2012331020 has 72 divisors (see below), whose sum is σ = 4927484016. Its totient is φ = 688308096.

The previous prime is 2012331017. The next prime is 2012331023. The reversal of 2012331020 is 201332102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2012331017) and next prime (2012331023).

It is a super-2 number, since 2×20123310202 = 8098952268108480800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2012330986 and 2012331004.

It is not an unprimeable number, because it can be changed into a prime (2012331023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455462 + ... + 459858.

It is an arithmetic number, because the mean of its divisors is an integer number (68437278).

Almost surely, 22012331020 is an apocalyptic number.

2012331020 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 2012331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463742008).

2012331020 is an abundant number, since it is smaller than the sum of its proper divisors (2915152996).

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

2012331020 is a wasteful number, since it uses less digits than its factorization.

2012331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2012331020 is about 44859.0126953325. The cubic root of 2012331020 is about 1262.5050984338.

Adding to 2012331020 its reverse (201332102), we get a palindrome (2213663122).

The spelling of 2012331020 in words is "two billion, twelve million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 467 490 934 980 1868 2335 3269 4397 4670 6538 8794 9340 13076 16345 17588 21985 22883 30779 32690 43970 45766 61558 65380 87940 91532 114415 123116 153895 215453 228830 307790 430906 457660 615580 861812 1077265 2053399 2154530 4106798 4309060 8213596 10266995 14373793 20533990 28747586 41067980 57495172 71868965 100616551 143737930 201233102 287475860 402466204 503082755 1006165510 2012331020