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1313331030 = 2335112291931
BaseRepresentation
bin100111001000111…
…1101011101010110
310101112021010111000
41032101331131112
510142203043110
6334153124130
744355062304
oct11621753526
93345233430
101313331030
11614383050
123079b9646
1317c124a6b
14c65d1274
157a4751c0
hex4e47d756

1313331030 has 128 divisors (see below), whose sum is σ = 3839270400. Its totient is φ = 316828800.

The previous prime is 1313331029. The next prime is 1313331067. The reversal of 1313331030 is 301333131.

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 = 1313330994 and 1313331012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679165 + ... + 681095.

It is an arithmetic number, because the mean of its divisors is an integer number (29994300).

Almost surely, 21313331030 is an apocalyptic number.

1313331030 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 1313331030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919635200).

1313331030 is an abundant number, since it is smaller than the sum of its proper divisors (2525939370).

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

1313331030 is a wasteful number, since it uses less digits than its factorization.

1313331030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1313331030 is about 36239.9093541913. The cubic root of 1313331030 is about 1095.1108163322.

Adding to 1313331030 its reverse (301333131), we get a palindrome (1614664161).

The spelling of 1313331030 in words is "one billion, three hundred thirteen million, three hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 229 270 297 330 458 495 594 687 990 1145 1374 1485 1931 2061 2290 2519 2970 3435 3862 4122 5038 5793 6183 6870 7557 9655 10305 11586 12366 12595 15114 17379 19310 20610 21241 22671 25190 28965 30915 34758 37785 42482 45342 52137 57930 61830 63723 68013 75570 86895 104274 106205 113355 127446 136026 173790 191169 212410 226710 260685 318615 340065 382338 442199 521370 573507 637230 680130 884398 955845 1147014 1326597 1911690 2210995 2653194 2867535 3979791 4421990 4864189 5735070 6632985 7959582 9728378 11939373 13265970 14592567 19898955 23878746 24320945 29185134 39797910 43777701 48641890 59696865 72962835 87555402 119393730 131333103 145925670 218888505 262666206 437777010 656665515 1313331030