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1313351410 = 257213212029
BaseRepresentation
bin100111001001000…
…0010011011110010
310101112022011102211
41032102002123302
510142204221120
6334153402334
744355205600
oct11622023362
93345264384
101313351410
11614397398
12307a093aa
1317c131117
14c65d8870
157a47b25a
hex4e4826f2

1313351410 has 48 divisors (see below), whose sum is σ = 2753435160. Its totient is φ = 449729280.

The previous prime is 1313351381. The next prime is 1313351441. The reversal of 1313351410 is 141533131.

It can be written as a sum of positive squares in 4 ways, for example, as 1288020321 + 25331089 = 35889^2 + 5033^2 .

It is a super-2 number, since 2×13133514102 = 3449783852297976200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646276 + ... + 648304.

Almost surely, 21313351410 is an apocalyptic number.

1313351410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313351410 is an abundant number, since it is smaller than the sum of its proper divisors (1440083750).

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

1313351410 is a wasteful number, since it uses less digits than its factorization.

1313351410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1313351410 is about 36240.1905348192. The cubic root of 1313351410 is about 1095.1164808708.

Adding to 1313351410 its reverse (141533131), we get a palindrome (1454884541).

The spelling of 1313351410 in words is "one billion, three hundred thirteen million, three hundred fifty-one thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1321 2029 2642 4058 6605 9247 10145 13210 14203 18494 20290 28406 46235 64729 71015 92470 99421 129458 142030 198842 323645 497105 647290 994210 2680309 5360618 13401545 18762163 26803090 37524326 93810815 131335141 187621630 262670282 656675705 1313351410