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2001020010 = 2351123299091
BaseRepresentation
bin111011101000101…
…0010010001101010
312011110021100102020
41313101102101222
513044230120020
6530320445310
7100405250403
oct16721222152
95143240366
102001020010
11937583a50
1247a179836
1325b743712
1414da829aa
15baa14c40
hex7745246a

2001020010 has 128 divisors (see below), whose sum is σ = 5655951360. Its totient is φ = 447955200.

The previous prime is 2001019997. The next prime is 2001020029. The reversal of 2001020010 is 100201002.

Adding to 2001020010 its reverse (100201002), we get a palindrome (2101221012).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215565 + ... + 224655.

It is an arithmetic number, because the mean of its divisors is an integer number (44187120).

Almost surely, 22001020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827975680).

2001020010 is an abundant number, since it is smaller than the sum of its proper divisors (3654931350).

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

2001020010 is a wasteful number, since it uses less digits than its factorization.

2001020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2001020010 is about 44732.7621548234. The cubic root of 2001020010 is about 1260.1352021711.

The spelling of 2001020010 in words is "two billion, one million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 29 30 33 46 55 58 66 69 87 110 115 138 145 165 174 230 253 290 319 330 345 435 506 638 667 690 759 870 957 1265 1334 1518 1595 1914 2001 2530 3190 3335 3795 4002 4785 6670 7337 7590 9091 9570 10005 14674 18182 20010 22011 27273 36685 44022 45455 54546 73370 90910 100001 110055 136365 200002 209093 220110 263639 272730 300003 418186 500005 527278 600006 627279 790917 1000010 1045465 1254558 1318195 1500015 1581834 2090930 2300023 2636390 2900029 3000030 3136395 3954585 4600046 5800058 6063697 6272790 6900069 7909170 8700087 11500115 12127394 13800138 14500145 17400174 18191091 23000230 29000290 30318485 34500345 36382182 43500435 60636970 66700667 69000690 87000870 90955455 133401334 181910910 200102001 333503335 400204002 667006670 1000510005 2001020010