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1313322030 = 232537457863
BaseRepresentation
bin100111001000111…
…1011010000101110
310101112020200010200
41032101323100232
510142202301110
6334153014330
744355024126
oct11621732056
93345220120
101313322030
11614377309
123079b43a6
1317c120937
14c65cbc86
157a4726c0
hex4e47b42e

1313322030 has 96 divisors (see below), whose sum is σ = 3518671104. Its totient is φ = 339614208.

The previous prime is 1313322019. The next prime is 1313322041. The reversal of 1313322030 is 302233131.

1313322030 is a `hidden beast` number, since 1 + 313 + 322 + 0 + 30 = 666.

1313322030 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 (1313322019) and next prime (1313322041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1313321994 and 1313322012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1521379 + ... + 1522241.

It is an arithmetic number, because the mean of its divisors is an integer number (36652824).

Almost surely, 21313322030 is an apocalyptic number.

1313322030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759335552).

1313322030 is an abundant number, since it is smaller than the sum of its proper divisors (2205349074).

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

1313322030 is a wasteful number, since it uses less digits than its factorization.

1313322030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1313322030 is about 36239.7851814825. The cubic root of 1313322030 is about 1095.1083147999.

Adding to 1313322030 its reverse (302233131), we get a palindrome (1615555161).

The spelling of 1313322030 in words is "one billion, three hundred thirteen million, three hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 457 555 666 863 914 1110 1371 1665 1726 2285 2589 2742 3330 4113 4315 4570 5178 6855 7767 8226 8630 12945 13710 15534 16909 20565 25890 31931 33818 38835 41130 50727 63862 77670 84545 95793 101454 152181 159655 169090 191586 253635 287379 304362 319310 394391 478965 507270 574758 760905 788782 957930 1183173 1436895 1521810 1971955 2366346 2873790 3549519 3943910 5915865 7099038 11831730 14592467 17747595 29184934 35495190 43777401 72962335 87554802 131332203 145924670 218887005 262664406 437774010 656661015 1313322030