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1331324010 = 232537401997
BaseRepresentation
bin100111101011010…
…0110010001101010
310102210010021012200
41033112212101222
510211304332020
6340034521030
744664032052
oct11726462152
93383107180
101331324010
11623552485
12311a36176
13182a847b3
14c8b56562
157bd2b590
hex4f5a646a

1331324010 has 96 divisors (see below), whose sum is σ = 3567434832. Its totient is φ = 344217600.

The previous prime is 1331323999. The next prime is 1331324011. The reversal of 1331324010 is 104231331.

1331324010 is a `hidden beast` number, since 1 + 331 + 324 + 0 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1321831449 + 9492561 = 36357^2 + 3081^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1331324011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334832 + ... + 1335828.

Almost surely, 21331324010 is an apocalyptic number.

1331324010 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 1331324010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783717416).

1331324010 is an abundant number, since it is smaller than the sum of its proper divisors (2236110822).

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

1331324010 is a wasteful number, since it uses less digits than its factorization.

1331324010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1331324010 is about 36487.3130005486. The cubic root of 1331324010 is about 1100.0892517113.

Adding to 1331324010 its reverse (104231331), we get a palindrome (1435555341).

The spelling of 1331324010 in words is "one billion, three hundred thirty-one million, three hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 401 555 666 802 997 1110 1203 1665 1994 2005 2406 2991 3330 3609 4010 4985 5982 6015 7218 8973 9970 12030 14837 14955 17946 18045 29674 29910 36090 36889 44511 44865 73778 74185 89022 89730 110667 133533 148370 184445 221334 222555 267066 332001 368890 399797 445110 553335 664002 667665 799594 1106670 1199391 1335330 1660005 1998985 2398782 3320010 3598173 3997970 5996955 7196346 11993910 14792489 17990865 29584978 35981730 44377467 73962445 88754934 133132401 147924890 221887335 266264802 443774670 665662005 1331324010