Search a number
-
+
103011332011011 = 3271175991647011
BaseRepresentation
bin10111011011000000110001…
…110110100011010000000011
3111111201210020211202121110100
4113123000301312203100003
5102000214201443323021
61003030430322333443
730461215556664324
oct2733006166432003
9444653224677410
10103011332011011
112a905951469506
12b6783527ba283
134562c085c86b8
141b61abcb2244b
15bd9863cd6626
hex5db031da3403

103011332011011 has 24 divisors (see below), whose sum is σ = 150975621688320. Its totient is φ = 67668486303600.

The previous prime is 103011332010997. The next prime is 103011332011013. The reversal of 103011332011011 is 110110233110301.

103011332011011 is a `hidden beast` number, since 10 + 301 + 1 + 332 + 0 + 1 + 10 + 11 = 666.

It is not a de Polignac number, because 103011332011011 - 213 = 103011332002819 is a prime.

It is a super-2 number, since 2×1030113320110112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103011332011013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44699505 + ... + 46947506.

It is an arithmetic number, because the mean of its divisors is an integer number (6290650903680).

Almost surely, 2103011332011011 is an apocalyptic number.

103011332011011 is a deficient number, since it is larger than the sum of its proper divisors (47964289677309).

103011332011011 is a wasteful number, since it uses less digits than its factorization.

103011332011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91648847 (or 91648844 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 103011332011011 its reverse (110110233110301), we get a palindrome (213121565121312).

The spelling of 103011332011011 in words is "one hundred three trillion, eleven billion, three hundred thirty-two million, eleven thousand, eleven".

Divisors: 1 3 9 71 213 639 1759 5277 15831 124889 374667 1124001 91647011 274941033 824823099 6506937781 19520813343 58562440029 161207092349 483621277047 1450863831141 11445703556779 34337110670337 103011332011011