Search a number
-
+
11333010233000 = 235361185787053
BaseRepresentation
bin1010010011101010110000…
…0011001001011010101000
31111010102110222011021210202
42210322230003021122220
52441140001104424000
640034151340331332
72246532362360231
oct244725403113250
944112428137722
1011333010233000
11367a336909905
1213304b6243b48
13642910172bc1
142b2740830088
15149be6da7dd5
hexa4eac0c96a8

11333010233000 has 64 divisors (see below), whose sum is σ = 26953985794320. Its totient is φ = 4458889248000.

The previous prime is 11333010232993. The next prime is 11333010233089. The reversal of 11333010233000 is 33201033311.

It can be written as a sum of positive squares in 8 ways, for example, as 632823432004 + 10700186800996 = 795502^2 + 3271114^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 92832527 + ... + 92954526.

Almost surely, 211333010233000 is an apocalyptic number.

11333010233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11333010233000 is an abundant number, since it is smaller than the sum of its proper divisors (15620975561320).

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

11333010233000 is a wasteful number, since it uses less digits than its factorization.

11333010233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185787135 (or 185787121 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 11333010233000 its reverse (33201033311), we get a palindrome (11366211266311).

The spelling of 11333010233000 in words is "eleven trillion, three hundred thirty-three billion, ten million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1220 1525 2440 3050 6100 7625 12200 15250 30500 61000 185787053 371574106 743148212 928935265 1486296424 1857870530 3715741060 4644676325 7431482120 9289352650 11333010233 18578705300 22666020466 23223381625 37157410600 45332040932 46446763250 56665051165 90664081864 92893526500 113330102330 185787053000 226660204660 283325255825 453320409320 566650511650 1133301023300 1416626279125 2266602046600 2833252558250 5666505116500 11333010233000