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1313971350 = 235210398431
BaseRepresentation
bin100111001010001…
…1001110010010110
310101120110122211120
41032110121302112
510142334040400
6334214544410
744363400156
oct11624316226
93346418746
101313971350
1161478013a
12308068106
1317c2ba353
14c671a766
157a54eca0
hex4e519c96

1313971350 has 48 divisors (see below), whose sum is σ = 3262172160. Its totient is φ = 350013600.

The previous prime is 1313971331. The next prime is 1313971357. The reversal of 1313971350 is 531793131.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313971357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151635 + ... + 160065.

It is an arithmetic number, because the mean of its divisors is an integer number (67961920).

Almost surely, 21313971350 is an apocalyptic number.

1313971350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313971350 is an abundant number, since it is smaller than the sum of its proper divisors (1948200810).

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

1313971350 is a wasteful number, since it uses less digits than its factorization.

1313971350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 1313971350 is about 36248.7427368178. The cubic root of 1313971350 is about 1095.2887626919.

The spelling of 1313971350 in words is "one billion, three hundred thirteen million, nine hundred seventy-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 1039 2078 3117 5195 6234 8431 10390 15585 16862 25293 25975 31170 42155 50586 51950 77925 84310 126465 155850 210775 252930 421550 632325 1264650 8759809 17519618 26279427 43799045 52558854 87598090 131397135 218995225 262794270 437990450 656985675 1313971350