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1331331030 = 232517870151
BaseRepresentation
bin100111101011010…
…0111111111010110
310102210010121211200
41033112213333112
510211310043110
6340035013330
744664061401
oct11726477726
93383117750
101331331030
11623557787
12311a3a246
13182a87a53
14c8b58d38
157bd2d6c0
hex4f5a7fd6

1331331030 has 48 divisors (see below), whose sum is σ = 3665080224. Its totient is φ = 334137600.

The previous prime is 1331330999. The next prime is 1331331061. The reversal of 1331331030 is 301331331.

1331331030 is a `hidden beast` number, since 1 + 331 + 331 + 0 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1331330999) and next prime (1331331061).

It is a super-2 number, since 2×13313310302 = 3544884622881721800, which contains 22 as substring.

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 = 1331330994 and 1331331012.

It is a congruent number.

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, 433546 + ... + 436605.

It is an arithmetic number, because the mean of its divisors is an integer number (76355838).

Almost surely, 21331331030 is an apocalyptic number.

1331331030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331331030 is an abundant number, since it is smaller than the sum of its proper divisors (2333749194).

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

1331331030 is a wasteful number, since it uses less digits than its factorization.

1331331030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870181 (or 870178 counting only the distinct ones).

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

The square root of 1331331030 is about 36487.4091982426. The cubic root of 1331331030 is about 1100.0911852784.

Adding to 1331331030 its reverse (301331331), we get a palindrome (1632662361).

The spelling of 1331331030 in words is "one billion, three hundred thirty-one million, three hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 870151 1740302 2610453 4350755 5220906 7831359 8701510 13052265 14792567 15662718 26104530 29585134 39156795 44377701 73962835 78313590 88755402 133133103 147925670 221888505 266266206 443777010 665665515 1331331030