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11312012313 = 357173112619
BaseRepresentation
bin10101000100011111…
…11001110000011001
31002012100112202200000
422202033321300121
5141131333343223
65110251403213
7550215342510
oct124217716031
932170482600
1011312012313
114885377308
122238453509
1310b376cc14
147944cd677
15463172543
hex2a23f9c19

11312012313 has 96 divisors (see below), whose sum is σ = 21167677440. Its totient is φ = 5887054080.

The previous prime is 11312012303. The next prime is 11312012419. The reversal of 11312012313 is 31321021311.

11312012313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11312012313 - 26 = 11312012249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11312012303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890118 + ... + 902736.

It is an arithmetic number, because the mean of its divisors is an integer number (220496640).

Almost surely, 211312012313 is an apocalyptic number.

It is an amenable number.

11312012313 is a deficient number, since it is larger than the sum of its proper divisors (9855665127).

11312012313 is a wasteful number, since it uses less digits than its factorization.

11312012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12689 (or 12677 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11312012313 its reverse (31321021311), we get a palindrome (42633033624).

The spelling of 11312012313 in words is "eleven billion, three hundred twelve million, twelve thousand, three hundred thirteen".

Divisors: 1 3 7 9 17 21 27 31 51 63 81 93 119 153 189 217 243 279 357 459 527 567 651 837 1071 1377 1581 1701 1953 2511 3213 3689 4131 4743 5859 7533 9639 11067 12619 14229 17577 28917 33201 37857 42687 52731 88333 99603 113571 128061 214523 264999 298809 340713 391189 643569 794997 896427 1022139 1173567 1501661 1930707 2384991 2738323 3066417 3520701 4504983 5792121 6650213 7154973 8214969 10562103 13514949 17376363 19950639 21464919 24644907 31686309 40544847 46551491 52129089 59851917 73934721 95058927 121634541 139654473 179555751 221804163 364903623 418963419 538667253 665412489 1256890257 1616001759 3770670771 11312012313