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11314132065 = 32519291992293
BaseRepresentation
bin10101000100101111…
…11111010001100001
31002012111112110102100
422202113333101201
5141132404211230
65110405041013
7550242351525
oct124227772141
932174473370
1011314132065
114886594975
1222390b6169
1310b4032a02
147948c1d85
15463440660
hex2a25ff461

11314132065 has 96 divisors (see below), whose sum is σ = 21471840000. Its totient is φ = 5489358336.

The previous prime is 11314132057. The next prime is 11314132121. The reversal of 11314132065 is 56023141311.

It is a happy number.

11314132065 is a `hidden beast` number, since 11 + 31 + 413 + 206 + 5 = 666.

It is not a de Polignac number, because 11314132065 - 23 = 11314132057 is a prime.

It is a super-2 number, since 2×113141320652 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4933059 + ... + 4935351.

It is an arithmetic number, because the mean of its divisors is an integer number (223665000).

Almost surely, 211314132065 is an apocalyptic number.

11314132065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11314132065 is a deficient number, since it is larger than the sum of its proper divisors (10157707935).

11314132065 is a wasteful number, since it uses less digits than its factorization.

11314132065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11314132065 its reverse (56023141311), we get a palindrome (67337273376).

The spelling of 11314132065 in words is "eleven billion, three hundred fourteen million, one hundred thirty-two thousand, sixty-five".

Divisors: 1 3 5 9 15 19 29 45 57 87 95 145 171 199 261 285 435 551 597 855 995 1305 1653 1791 2293 2755 2985 3781 4959 5771 6879 8265 8955 11343 11465 17313 18905 20637 24795 28855 34029 34395 43567 51939 56715 66497 86565 103185 109649 130701 170145 199491 217835 259695 328947 332485 392103 456307 548245 598473 653505 986841 997455 1263443 1368921 1644735 1960515 2281535 2992365 3790329 4106763 4934205 6317215 6844605 8669833 11370987 13232903 18951645 20533815 26009499 39698709 43349165 56854935 66164515 78028497 119096127 130047495 198493545 251425157 390142485 595480635 754275471 1257125785 2262826413 3771377355 11314132065