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1315134011160 = 23355135301853
BaseRepresentation
bin10011001000110100000…
…110000111011100011000
311122201120221122212200000
4103020310012013130120
5133021343301324120
62444055250013000
7164005150436034
oct23106406073430
94581527585600
101315134011160
11467821955832
12192a6b877160
139702a634928
144791d4d51c4
15243228ab990
hex13234187718

1315134011160 has 96 divisors (see below), whose sum is σ = 4432488737040. Its totient is φ = 350702400384.

The previous prime is 1315134011137. The next prime is 1315134011161. The reversal of 1315134011160 is 611104315131.

1315134011160 is a `hidden beast` number, since 1 + 3 + 151 + 340 + 11 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315134011161) 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 23 ways as a sum of consecutive naturals, for example, 67641207 + ... + 67660646.

Almost surely, 21315134011160 is an apocalyptic number.

1315134011160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315134011160 is an abundant number, since it is smaller than the sum of its proper divisors (3117354725880).

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

1315134011160 is a wasteful number, since it uses less digits than its factorization.

1315134011160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135301879 (or 135301863 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 1315134011160 its reverse (611104315131), we get a palindrome (1926238326291).

The spelling of 1315134011160 in words is "one trillion, three hundred fifteen billion, one hundred thirty-four million, eleven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 135301853 270603706 405905559 541207412 676509265 811811118 1082414824 1217716677 1353018530 1623622236 2029527795 2435433354 2706037060 3247244472 3653150031 4059055590 4870866708 5412074120 6088583385 7306300062 8118111180 9741733416 10959450093 12177166770 14612600124 16236222360 18265750155 21918900186 24354333540 29225200248 32878350279 36531500310 43837800372 48708667080 54797250465 65756700558 73063000620 87675600744 109594500930 131513401116 146126001240 164391751395 219189001860 263026802232 328783502790 438378003720 657567005580 1315134011160