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200120010 = 235232973137
BaseRepresentation
bin10111110110110…
…01011011001010
3111221120011001020
423323121123022
5402212320020
631505133310
74646664156
oct1373313312
9457504036
10200120010
11a2a65142
125702a236
13325c9b0c
141c814066
151287ec40
hexbed96ca

200120010 has 128 divisors (see below), whose sum is σ = 529390080. Its totient is φ = 48254976.

The previous prime is 200119901. The next prime is 200120017. The reversal of 200120010 is 10021002.

It is a happy number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200120017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1460662 + ... + 1460798.

It is an arithmetic number, because the mean of its divisors is an integer number (4135860).

Almost surely, 2200120010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264695040).

200120010 is an abundant number, since it is smaller than the sum of its proper divisors (329270070).

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

200120010 is a wasteful number, since it uses less digits than its factorization.

200120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272.

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

The square root of 200120010 is about 14146.3779816602. The cubic root of 200120010 is about 584.9204947106.

Adding to 200120010 its reverse (10021002), we get a palindrome (210141012).

The spelling of 200120010 in words is "two hundred million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 73 87 115 137 138 145 146 174 219 230 274 290 345 365 411 435 438 667 685 690 730 822 870 1095 1334 1370 1679 2001 2055 2117 2190 3151 3335 3358 3973 4002 4110 4234 5037 6302 6351 6670 7946 8395 9453 10001 10005 10074 10585 11919 12702 15755 16790 18906 19865 20002 20010 21170 23838 25185 30003 31510 31755 39730 47265 48691 50005 50370 59595 60006 63510 91379 94530 97382 100010 119190 146073 150015 182758 230023 243455 274137 290029 292146 300030 456895 460046 486910 548274 580058 690069 730365 870087 913790 1150115 1370685 1380138 1450145 1460730 1740174 2300230 2741370 2900290 3450345 4350435 6670667 6900690 8700870 13341334 20012001 33353335 40024002 66706670 100060005 200120010