Search a number
-
+
1315431000 = 2332531311243
BaseRepresentation
bin100111001100111…
…1110001001011000
310101200012211002200
41032121332021120
510143222243000
6334310130200
744411656542
oct11631761130
93350184080
101315431000
11615587864
12308650960
1317c6ab850
14c69ba692
157a73c500
hex4e67e258

1315431000 has 192 divisors, whose sum is σ = 4788594720. Its totient is φ = 323769600.

The previous prime is 1315430999. The next prime is 1315431001. The reversal of 1315431000 is 1345131.

It is an interprime number because it is at equal distance from previous prime (1315430999) and next prime (1315431001).

It is a super-2 number, since 2×13154310002 = 3460717431522000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315431001) 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, 111379 + ... + 122621.

Almost surely, 21315431000 is an apocalyptic number.

1315431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394297360).

1315431000 is an abundant number, since it is smaller than the sum of its proper divisors (3473163720).

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

1315431000 is a wasteful number, since it uses less digits than its factorization.

1315431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11283 (or 11266 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1315431000 is about 36268.8709501688. The cubic root of 1315431000 is about 1095.6941867044.

Adding to 1315431000 its reverse (1345131), we get a palindrome (1316776131).

The spelling of 1315431000 in words is "one billion, three hundred fifteen million, four hundred thirty-one thousand".