Search a number
-
+
11133010110 = 2356713142281
BaseRepresentation
bin10100101111001010…
…00100000010111110
31001201212201111210210
422113211010002332
5140300022310420
65040415013250
7542613011265
oct122745040276
931655644723
1011133010110
1147a3326302
1221a850a226
131085658261
147788155dc
154525b49e0
hex2979440be

11133010110 has 64 divisors (see below), whose sum is σ = 27325672704. Its totient is φ = 2902099200.

The previous prime is 11133010103. The next prime is 11133010117. The reversal of 11133010110 is 1101033111.

It is an interprime number because it is at equal distance from previous prime (11133010103) and next prime (11133010117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133010117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242170 + ... + 284450.

It is an arithmetic number, because the mean of its divisors is an integer number (426963636).

Almost surely, 211133010110 is an apocalyptic number.

11133010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662836352).

11133010110 is an abundant number, since it is smaller than the sum of its proper divisors (16192662594).

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

11133010110 is a wasteful number, since it uses less digits than its factorization.

11133010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42489.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11133010110 its reverse (1101033111), we get a palindrome (12234043221).

The spelling of 11133010110 in words is "eleven billion, one hundred thirty-three million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 131 134 201 262 335 393 402 655 670 786 1005 1310 1965 2010 3930 8777 17554 26331 42281 43885 52662 84562 87770 126843 131655 211405 253686 263310 422810 634215 1268430 2832827 5538811 5665654 8498481 11077622 14164135 16616433 16996962 27694055 28328270 33232866 42492405 55388110 83082165 84984810 166164330 371100337 742200674 1113301011 1855501685 2226602022 3711003370 5566505055 11133010110