Search a number
-
+
20313200200 = 23521913993821
BaseRepresentation
bin10010111010110000…
…101101011001001000
31221102122212111011011
4102322300231121020
5313100134401300
613155354213304
71316244232006
oct227260553110
957378774134
1020313200200
1186842a9a67
123b2aa24234
131bb9547ab7
14da9b33a76
157dd4d5eba
hex4bac2d648

20313200200 has 96 divisors (see below), whose sum is σ = 49762440000. Its totient is φ = 7690118400.

The previous prime is 20313200197. The next prime is 20313200221. The reversal of 20313200200 is 200231302.

It is a happy number.

It is a super-2 number, since 2×203132002002 (a number of 21 digits) contains 22 as substring.

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, 5314290 + ... + 5318110.

It is an arithmetic number, because the mean of its divisors is an integer number (518358750).

Almost surely, 220313200200 is an apocalyptic number.

20313200200 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 20313200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24881220000).

20313200200 is an abundant number, since it is smaller than the sum of its proper divisors (29449239800).

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

20313200200 is a wasteful number, since it uses less digits than its factorization.

20313200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20313200200 its reverse (200231302), we get a palindrome (20513431502).

The spelling of 20313200200 in words is "twenty billion, three hundred thirteen million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1399 1900 2798 3800 3821 5596 6995 7642 11192 13990 15284 19105 26581 27980 30568 34975 38210 53162 55960 69950 72599 76420 95525 106324 132905 139900 145198 152840 191050 212648 265810 279800 290396 362995 382100 531620 580792 664525 725990 764200 1063240 1329050 1451980 1814975 2658100 2903960 3629950 5316200 5345579 7259900 10691158 14519800 21382316 26727895 42764632 53455790 101566001 106911580 133639475 203132002 213823160 267278950 406264004 507830005 534557900 812528008 1015660010 1069115800 2031320020 2539150025 4062640040 5078300050 10156600100 20313200200