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11313234306 = 23311591671933
BaseRepresentation
bin10101000100101001…
…00100000110000010
31002012102211211221000
422202110210012002
5141132141444211
65110333512430
7550231622253
oct124224440602
932172754830
1011313234306
114886031420
122238942716
1310b3aaa1aa
1479472ab2a
15463314656
hex2a2524182

11313234306 has 128 divisors (see below), whose sum is σ = 28072396800. Its totient is φ = 3348233280.

The previous prime is 11313234259. The next prime is 11313234371. The reversal of 11313234306 is 60343231311.

11313234306 is a `hidden beast` number, since 1 + 1 + 31 + 323 + 4 + 306 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11313234306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5851716 + ... + 5853648.

It is an arithmetic number, because the mean of its divisors is an integer number (219315600).

Almost surely, 211313234306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313234306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14036198400).

11313234306 is an abundant number, since it is smaller than the sum of its proper divisors (16759162494).

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

11313234306 is a wasteful number, since it uses less digits than its factorization.

11313234306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11313234306 its reverse (60343231311), we get a palindrome (71656465617).

The spelling of 11313234306 in words is "eleven billion, three hundred thirteen million, two hundred thirty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 167 177 198 297 334 354 501 531 594 649 1002 1062 1298 1503 1593 1837 1933 1947 3006 3186 3674 3866 3894 4509 5511 5799 5841 9018 9853 11022 11598 11682 16533 17397 17523 19706 21263 29559 33066 34794 35046 42526 49599 52191 59118 63789 88677 99198 104382 108383 114047 127578 177354 191367 216766 228094 266031 322811 325149 342141 382734 532062 574101 645622 650298 684282 968433 975447 1026423 1148202 1254517 1936866 1950894 2052846 2509034 2905299 2926341 3079269 3550921 3763551 5810598 5852682 6158538 7101842 7527102 8715897 10652763 11290653 17431794 19045849 21305526 22581306 31958289 33871959 38091698 57137547 63916578 67743918 95874867 114275094 171412641 191749734 209504339 342825282 419008678 514237923 628513017 1028475846 1257026034 1885539051 3771078102 5656617153 11313234306