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1317913065 = 335721671193
BaseRepresentation
bin100111010001101…
…1100000111101001
310101211212220212000
41032203130013221
510144341204230
6334435241213
744442035100
oct11643340751
93354786760
101317913065
11616a22657
12309449209
1318006a521
14c7065037
157aa7cb60
hex4e8dc1e9

1317913065 has 96 divisors (see below), whose sum is σ = 2744098560. Its totient is φ = 598364928.

The previous prime is 1317913057. The next prime is 1317913073. The reversal of 1317913065 is 5603197131.

1317913065 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1317913057) and next prime (1317913073).

It is not a de Polignac number, because 1317913065 - 23 = 1317913057 is a prime.

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, 1104109 + ... + 1105301.

It is an arithmetic number, because the mean of its divisors is an integer number (28584360).

Almost surely, 21317913065 is an apocalyptic number.

1317913065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1317913065 is an abundant number, since it is smaller than the sum of its proper divisors (1426185495).

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

1317913065 is a wasteful number, since it uses less digits than its factorization.

1317913065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1317913065 is about 36303.0723906393. The cubic root of 1317913065 is about 1096.3829027905.

It can be divided in two parts, 13179 and 13065, that added together give a square (26244 = 1622).

The spelling of 1317913065 in words is "one billion, three hundred seventeen million, nine hundred thirteen thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 167 189 245 315 441 501 735 835 945 1169 1193 1323 1503 2205 2505 3507 3579 4509 5845 5965 6615 7515 8183 8351 10521 10737 17535 17895 22545 24549 25053 31563 32211 40915 41755 52605 53685 58457 73647 75159 122745 125265 157815 161055 175371 199231 220941 225477 292285 368235 375795 526113 597693 876855 996155 1104705 1127385 1394617 1578339 1793079 2630565 2988465 4183851 5379237 6973085 7891695 8965395 9762319 12551553 20919255 26896185 29286957 37654659 48811595 62757765 87860871 146434785 188273295 263582613 439304355 1317913065