Search a number
-
+
230411311332 = 223616713135863
BaseRepresentation
bin1101011010010110010…
…1011001100011100100
3211000201202112100221120
43112211211121203210
512233340243430312
6253503254013540
722434543555156
oct3264545314344
9730652470846
10230411311332
11897981a6554
12387a43472b0
131895c986257
14b21add6ad6
155ed824828c
hex35a59598e4

230411311332 has 96 divisors (see below), whose sum is σ = 558844898304. Its totient is φ = 73847030400.

The previous prime is 230411311307. The next prime is 230411311387. The reversal of 230411311332 is 233113114032.

230411311332 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2304113113322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6406833 + ... + 6442695.

It is an arithmetic number, because the mean of its divisors is an integer number (5821301024).

Almost surely, 2230411311332 is an apocalyptic number.

It is an amenable number.

230411311332 is an abundant number, since it is smaller than the sum of its proper divisors (328433586972).

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

230411311332 is a wasteful number, since it uses less digits than its factorization.

230411311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36129 (or 36127 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 230411311332 its reverse (233113114032), we get a palindrome (463524425364).

The spelling of 230411311332 in words is "two hundred thirty billion, four hundred eleven million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 61 67 122 131 134 183 201 244 262 268 366 393 402 524 732 786 804 1572 4087 7991 8174 8777 12261 15982 16348 17554 23973 24522 26331 31964 35108 35863 47946 49044 52662 71726 95892 105324 107589 143452 215178 430356 535397 1070794 1606191 2141588 2187643 2402821 3212382 4375286 4698053 4805642 6424764 6562929 7208463 8750572 9396106 9611284 13125858 14094159 14416926 18792212 26251716 28188318 28833852 56376636 146572081 286581233 293144162 314769551 439716243 573162466 586288324 629539102 859743699 879432486 944308653 1146324932 1259078204 1719487398 1758864972 1888617306 3438974796 3777234612 19200942611 38401885222 57602827833 76803770444 115205655666 230411311332