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1331302130 = 251729312281
BaseRepresentation
bin100111101011010…
…0000111011110010
310102210002011012022
41033112200323302
510211303132010
6340034231442
744663611214
oct11726407362
93383064168
101331302130
11623537aa4
12311a25582
13182a77852
14c8b4c5b4
157bd24d55
hex4f5a0ef2

1331302130 has 96 divisors (see below), whose sum is σ = 2721852720. Its totient is φ = 466636800.

The previous prime is 1331302121. The next prime is 1331302153. The reversal of 1331302130 is 312031331.

It can be written as a sum of positive squares in 8 ways, for example, as 898620529 + 432681601 = 29977^2 + 20801^2 .

It is a super-2 number, since 2×13313021302 = 3544730722685073800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 1331302099 and 1331302108.

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 47 ways as a sum of consecutive naturals, for example, 4737590 + ... + 4737870.

Almost surely, 21331302130 is an apocalyptic number.

1331302130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331302130 is an abundant number, since it is smaller than the sum of its proper divisors (1390550590).

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

1331302130 is a wasteful number, since it uses less digits than its factorization.

1331302130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1331302130 is about 36487.0131690715. The cubic root of 1331302130 is about 1100.0832251081.

Adding to 1331302130 its reverse (312031331), we get a palindrome (1643333461).

The spelling of 1331302130 in words is "one billion, three hundred thirty-one million, three hundred two thousand, one hundred thirty".

Divisors: 1 2 5 10 17 29 31 34 58 62 85 145 155 170 281 290 310 493 527 562 899 961 986 1054 1405 1798 1922 2465 2635 2810 4495 4777 4805 4930 5270 8149 8711 8990 9554 9610 15283 16298 16337 17422 23885 27869 30566 32674 40745 43555 47770 55738 76415 81490 81685 87110 138533 139345 148087 152830 163370 252619 270041 277066 278690 296174 473773 505238 540082 692665 740435 947546 1263095 1350205 1385330 1480870 2368865 2526190 2700410 4294523 4590697 4737730 7831189 8589046 9181394 15662378 21472615 22953485 39155945 42945230 45906970 78311890 133130213 266260426 665651065 1331302130