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2001313020 = 2235710744533
BaseRepresentation
bin111011101001001…
…1001110011111100
312011110211020100110
41313102121303330
513044314004040
6530331030020
7100410610560
oct16722316374
95143736313
102001313020
11937764103
1247a29b310
1325b816bb5
1414db1b6a0
15baa71980
hex77499cfc

2001313020 has 96 divisors (see below), whose sum is σ = 6464199168. Its totient is φ = 453157632.

The previous prime is 2001312991. The next prime is 2001313051. The reversal of 2001313020 is 203131002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001312987 and 2001313005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 22674 + ... + 67206.

It is an arithmetic number, because the mean of its divisors is an integer number (67335408).

Almost surely, 22001313020 is an apocalyptic number.

2001313020 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 2001313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232099584).

2001313020 is an abundant number, since it is smaller than the sum of its proper divisors (4462886148).

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

2001313020 is a wasteful number, since it uses less digits than its factorization.

2001313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44659 (or 44657 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2001313020 is about 44736.0371512721. The cubic root of 2001313020 is about 1260.1967065027.

Adding to 2001313020 its reverse (203131002), we get a palindrome (2204444022).

It can be divided in two parts, 20013 and 13020, that added together give a palindrome (33033).

The spelling of 2001313020 in words is "two billion, one million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 321 420 428 535 642 749 1070 1284 1498 1605 2140 2247 2996 3210 3745 4494 6420 7490 8988 11235 14980 22470 44533 44940 89066 133599 178132 222665 267198 311731 445330 534396 623462 667995 890660 935193 1246924 1335990 1558655 1870386 2671980 3117310 3740772 4675965 4765031 6234620 9351930 9530062 14295093 18703860 19060124 23825155 28590186 33355217 47650310 57180372 66710434 71475465 95300620 100065651 133420868 142950930 166776085 200131302 285901860 333552170 400262604 500328255 667104340 1000656510 2001313020