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11310200011314 = 23219251733179749
BaseRepresentation
bin1010010010010101110001…
…1101000011101000110010
31111001020121021200222010100
42210211130131003220302
52440301242200330224
640015500102213230
72245064204603211
oct244453435035062
944036537628110
1011310200011314
1136706a1060726
121327bab124216
136407164cc5c9
142b15b9223078
1514930e583ac9
hexa495c743a32

11310200011314 has 96 divisors (see below), whose sum is σ = 25933438440000. Its totient is φ = 3552539472000.

The previous prime is 11310200011309. The next prime is 11310200011337. The reversal of 11310200011314 is 41311000201311.

It is a happy number.

11310200011314 is a `hidden beast` number, since 11 + 310 + 20 + 0 + 0 + 11 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62832312 + ... + 63012060.

It is an arithmetic number, because the mean of its divisors is an integer number (270139983750).

Almost surely, 211310200011314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310200011314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966719220000).

11310200011314 is an abundant number, since it is smaller than the sum of its proper divisors (14623238428686).

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

11310200011314 is a wasteful number, since it uses less digits than its factorization.

11310200011314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180760 (or 180757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11310200011314 its reverse (41311000201311), we get a palindrome (52621200212625).

The spelling of 11310200011314 in words is "eleven trillion, three hundred ten billion, two hundred million, eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 251 342 502 733 753 1466 1506 2199 2259 4398 4518 4769 6597 9538 13194 13927 14307 27854 28614 41781 42921 83562 85842 125343 179749 183983 250686 359498 367966 539247 551949 1078494 1103898 1617741 1655847 3235482 3311694 3415231 3495677 6830462 6991354 10245693 10487031 20491386 20974062 30737079 31461093 45116999 61474158 62922186 90233998 131756017 135350997 263512034 270701994 395268051 406052991 790536102 812105982 857222981 1185804153 1714445962 2371608306 2503364323 2571668943 5006728646 5143337886 7510092969 7715006829 15020185938 15430013658 22530278907 33070760267 45060557814 66141520534 99212280801 198424561602 297636842403 595273684806 628344445073 1256688890146 1885033335219 3770066670438 5655100005657 11310200011314