Search a number
-
+
230133110300 = 225213141941927
BaseRepresentation
bin1101011001010100000…
…0001001011000011100
3211000000101001021212122
43112111000021120130
512232303034012200
6253415515122112
722424625106352
oct3262500113034
9730011037778
10230133110300
1189665160a45
1238727143338
131891714b662
14b1d20997d2
155ebdae3385
hex359500961c

230133110300 has 72 divisors (see below), whose sum is σ = 504413965440. Its totient is φ = 91130353600.

The previous prime is 230133110197. The next prime is 230133110329. The reversal of 230133110300 is 3011331032.

It is a super-2 number, since 2×2301331103002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 5467937 + ... + 5509863.

It is an arithmetic number, because the mean of its divisors is an integer number (7005749520).

Almost surely, 2230133110300 is an apocalyptic number.

230133110300 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 230133110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252206982720).

230133110300 is an abundant number, since it is smaller than the sum of its proper divisors (274280855140).

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

230133110300 is a wasteful number, since it uses less digits than its factorization.

230133110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42491 (or 42484 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 230133110300 its reverse (3011331032), we get a palindrome (233144441332).

It can be divided in two parts, 23013 and 3110300, that added together give a palindrome (3133313).

The spelling of 230133110300 in words is "two hundred thirty billion, one hundred thirty-three million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 419 524 655 838 1310 1676 2095 2620 3275 4190 6550 8380 10475 13100 20950 41900 41927 54889 83854 109778 167708 209635 219556 274445 419270 548890 838540 1048175 1097780 1372225 2096350 2744450 4192700 5488900 5492437 10984874 17567413 21969748 27462185 35134826 54924370 70269652 87837065 109848740 137310925 175674130 274621850 351348260 439185325 549243700 878370650 1756741300 2301331103 4602662206 9205324412 11506655515 23013311030 46026622060 57533277575 115066555150 230133110300