Search a number
-
+
10202000200 = 2352714948907
BaseRepresentation
bin10011000000001011…
…00010101101001000
3222022222212022022021
421200011202231020
5131343203001300
64404200134224
7510546366550
oct114005425510
928288768267
1010202000200
114365843827
121b88767374
13c677c5012
146cad06160
153ea9aed1a
hex260162b48

10202000200 has 96 divisors (see below), whose sum is σ = 27290664000. Its totient is φ = 3474282240.

The previous prime is 10202000189. The next prime is 10202000231. The reversal of 10202000200 is 200020201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184147 + ... + 233053.

It is an arithmetic number, because the mean of its divisors is an integer number (284277750).

Almost surely, 210202000200 is an apocalyptic number.

10202000200 is a gapful number since it is divisible by the number (10) 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 10202000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645332000).

10202000200 is an abundant number, since it is smaller than the sum of its proper divisors (17088663800).

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

10202000200 is a wasteful number, since it uses less digits than its factorization.

10202000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49079 (or 49070 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 10202000200 its reverse (200020201), we get a palindrome (10402020401).

The spelling of 10202000200 in words is "ten billion, two hundred two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 149 175 200 280 298 350 596 700 745 1043 1192 1400 1490 2086 2980 3725 4172 5215 5960 7450 8344 10430 14900 20860 26075 29800 41720 48907 52150 97814 104300 195628 208600 244535 342349 391256 489070 684698 978140 1222675 1369396 1711745 1956280 2445350 2738792 3423490 4890700 6846980 7287143 8558725 9781400 13693960 14574286 17117450 29148572 34234900 36435715 51010001 58297144 68469800 72871430 102020002 145742860 182178575 204040004 255050005 291485720 364357150 408080008 510100010 728714300 1020200020 1275250025 1457428600 2040400040 2550500050 5101000100 10202000200