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1013431310 = 251943163761
BaseRepresentation
bin111100011001111…
…011110000001110
32121121221122101222
4330121323300032
54033414300220
6244321203342
734054011143
oct7431736016
92547848358
101013431310
11480067a41
12243490552
13131c607c8
14988463ca
155de85e25
hex3c67bc0e

1013431310 has 64 divisors (see below), whose sum is σ = 1979493120. Its totient is φ = 372314880.

The previous prime is 1013431283. The next prime is 1013431339. The reversal of 1013431310 is 131343101.

It is a super-2 number, since 2×10134313102 = 2054086040176632200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1331330 + ... + 1332090.

It is an arithmetic number, because the mean of its divisors is an integer number (30929580).

Almost surely, 21013431310 is an apocalyptic number.

1013431310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013431310 is a deficient number, since it is larger than the sum of its proper divisors (966061810).

1013431310 is a wasteful number, since it uses less digits than its factorization.

1013431310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1013431310 is about 31834.4359145878. The cubic root of 1013431310 is about 1004.4572071214.

Adding to 1013431310 its reverse (131343101), we get a palindrome (1144774411).

The spelling of 1013431310 in words is "one billion, thirteen million, four hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 10 19 38 43 86 95 163 190 215 326 430 761 815 817 1522 1630 1634 3097 3805 4085 6194 7009 7610 8170 14018 14459 15485 28918 30970 32723 35045 65446 70090 72295 124043 133171 144590 163615 248086 266342 327230 620215 621737 665855 1240430 1243474 1331710 2356817 3108685 4713634 5333849 6217370 10667698 11784085 23568170 26669245 53338490 101343131 202686262 506715655 1013431310