Search a number
-
+
200113110 = 232523277349
BaseRepresentation
bin10111110110101…
…11101111010110
3111221112210120200
423323113233112
5402212104420
631505041330
74646635101
oct1373275726
9457483520
10200113110
11a2a5aa3a
1257026246
13325c6932
141c811738
151287cb90
hexbed7bd6

200113110 has 96 divisors (see below), whose sum is σ = 546436800. Its totient is φ = 50713344.

The previous prime is 200113097. The next prime is 200113117. The reversal of 200113110 is 11311002.

It is a super-3 number, since 3×2001131103 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 200113092 and 200113101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200113117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573216 + ... + 573564.

It is an arithmetic number, because the mean of its divisors is an integer number (5692050).

Almost surely, 2200113110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273218400).

200113110 is an abundant number, since it is smaller than the sum of its proper divisors (346323690).

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

200113110 is a wasteful number, since it uses less digits than its factorization.

200113110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 200113110 is about 14146.1341008772. The cubic root of 200113110 is about 584.9137720815.

Adding to 200113110 its reverse (11311002), we get a palindrome (211424112).

The spelling of 200113110 in words is "two hundred million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 277 345 349 414 554 690 698 831 1035 1047 1385 1662 1745 2070 2094 2493 2770 3141 3490 4155 4986 5235 6282 6371 8027 8310 10470 12465 12742 15705 16054 19113 24081 24930 31410 31855 38226 40135 48162 57339 63710 72243 80270 95565 96673 114678 120405 144486 191130 193346 240810 286695 290019 361215 483365 573390 580038 722430 870057 966730 1450095 1740114 2223479 2900190 4350285 4446958 6670437 8700570 11117395 13340874 20011311 22234790 33352185 40022622 66704370 100056555 200113110