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2010031320 = 2335113149121
BaseRepresentation
bin111011111001110…
…1010010011011000
312012002020011121110
41313303222103120
513104032000240
6531241540320
7100544661423
oct16763522330
95162204543
102010031320
11941679310
124811a46a0
1326057a25b
14150d4a9ba
15bb6e4c80
hex77cea4d8

2010031320 has 128 divisors (see below), whose sum is σ = 6790625280. Its totient is φ = 471552000.

The previous prime is 2010031319. The next prime is 2010031349. The reversal of 2010031320 is 231300102.

It is a happy number.

2010031320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×20100313203 (a number of 29 digits) contains 333 as substring.

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 = 2010031296 and 2010031305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16360 + ... + 65480.

It is an arithmetic number, because the mean of its divisors is an integer number (53051760).

Almost surely, 22010031320 is an apocalyptic number.

2010031320 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 2010031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395312640).

2010031320 is an abundant number, since it is smaller than the sum of its proper divisors (4780593960).

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

2010031320 is a wasteful number, since it uses less digits than its factorization.

2010031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49177 (or 49173 counting only the distinct ones).

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

The square root of 2010031320 is about 44833.3728376530. The cubic root of 2010031320 is about 1262.0239831421.

Adding to 2010031320 its reverse (231300102), we get a palindrome (2241331422).

The spelling of 2010031320 in words is "two billion, ten million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 40920 49121 98242 147363 196484 245605 294726 392968 491210 540331 589452 736815 982420 1080662 1178904 1473630 1522751 1620993 1964840 2161324 2701655 2947260 3045502 3241986 4322648 4568253 5403310 5894520 6091004 6483972 7613755 8104965 9136506 10806620 12182008 12967944 15227510 16209930 16750261 18273012 21613240 22841265 30455020 32419860 33500522 36546024 45682530 50250783 60910040 64839720 67001044 83751305 91365060 100501566 134002088 167502610 182730120 201003132 251253915 335005220 402006264 502507830 670010440 1005015660 2010031320