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1313322010 = 2572111318743
BaseRepresentation
bin100111001000111…
…1011010000011010
310101112020200002221
41032101323100122
510142202301020
6334153014254
744355024100
oct11621732032
93345220087
101313322010
116143772a0
123079b438a
1317c120920
14c65cbc70
157a4726aa
hex4e47b41a

1313322010 has 96 divisors (see below), whose sum is σ = 3230865792. Its totient is φ = 377838720.

The previous prime is 1313322001. The next prime is 1313322013. The reversal of 1313322010 is 102233131.

It is a super-3 number, since 3×13133220103 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313322013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60699 + ... + 79441.

It is an arithmetic number, because the mean of its divisors is an integer number (33654852).

Almost surely, 21313322010 is an apocalyptic number.

1313322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313322010 is an abundant number, since it is smaller than the sum of its proper divisors (1917543782).

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

1313322010 is a wasteful number, since it uses less digits than its factorization.

1313322010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18788 (or 18781 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1313322010 is about 36239.7849055427. The cubic root of 1313322010 is about 1095.1083092409.

Adding to 1313322010 its reverse (102233131), we get a palindrome (1415555141).

It can be divided in two parts, 1313 and 322010, that added together give a palindrome (323323).

The spelling of 1313322010 in words is "one billion, three hundred thirteen million, three hundred twenty-two thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 49 55 65 70 77 91 98 110 130 143 154 182 245 286 385 455 490 539 637 715 770 910 1001 1078 1274 1430 2002 2695 3185 5005 5390 6370 7007 10010 14014 18743 35035 37486 70070 93715 131201 187430 206173 243659 262402 412346 487318 656005 918407 1030865 1218295 1312010 1443211 1705613 1836814 2061730 2436590 2680249 2886422 3411226 4592035 5360498 7216055 8528065 9184070 10102477 11939291 13401245 14432110 17056130 18761743 20204954 23878582 26802490 37523486 50512385 59696455 93808715 101024770 119392910 131332201 187617430 262664402 656661005 1313322010